,book provided by the ,new ,york ,university ,library4 includes the original more than #ahj illustrations4 ,see #agjba-;h4htm or #agjba-;h4zip3 7https3_/_/www4gutenberg4org_/dirs_/#a_/ g_/j_/b_/agjba_/agjba-;h_/#agjba-;h4htm7 or 7https3_/_/www4gutenberg4org_/dirs_/#a_/ g_/j_/b_/agjba_/agjba-;h4zip7 ,,watch ,,and ,,clock ,,escapements ,a ,complete ,study in ,theory and ,practice of the ,lever1 ,cylinder and ,chronometer ,escapements1 ,together with a ,brief ,account of the ,origin and ,evolution of the ,escapement in ,horology ,compiled from the well-known ,escapement ,serials published in ,the ,keystone ,nearly ,two ,hundred ,original ,illustrations ,published by ,the ,keystone ,the ,organ of the ,jewelry and ,optical ,trades #aith ,brown ,sts41 ,philadelphia1 ,u4,s4,a4 #aijd ,all ,rights ,reserved ,copyright1 #aijd1 ,by ,b4 ,thorpe1 ,publisher of the ,keystone4 ,,preface ,especially notable among the achievements of ,the ,keystone in the field of horology were the three serials devoted to the lever1 cylinder and chronometer escapements4 ,so highly valued were these serials when published that on the completion of each we were importuned to republish it in book form1 but we deemed it advisable to postpone such publication until the completion of all three1 in order that the volume should be a complete treatise on the several escapements in use in horology4 ,the recent completion of the third serial gave us the opportunity to republish in book form1 and the present volume is the result4 ,we present it to the trade and students of horology happy in the knowledge that its contents have already received their approval4 ,an interesting addition to the book is the illustrated story of the escapements1 from the first crude conceptions to their present perfection4 ,,contents ,,chapter ,i4 ,,the ,,detached ,,lever ,,escapement #i ,,chapter ,,ii4 ,,the ,,cylinder ,,escapement #aaa ,,chapter ,,iii4 ,,the ,,chronometer ,,escapement #aca ,,chapter ,,iv4 ,,history ,,of ,,escapements #aec ,,chapter ,v4 ,,putting ,,in ,a ,,new ,,cylinder #afi ,,index #agg ,,watch ,,and ,,clock ,,escapements ,,chapter ,i4 ,,the ,,detached ,,lever ,,escapement4 ,in this treatise we do not propose to go into the history of this escapement and give a long dissertation on its origin and evolution1 but shall confine ourselves strictly to the designing and construction as employed in our best watches4 ,by designing1 we mean giving full instructions for drawing an escapement of this kind to the best proportions4 ,the workman will need but few drawing instruments1 and a drawing-board about #ae by #ah will be quite large enough4 ,the necessary drawing-instruments are a ,t-square with #ae blade2 a scale of inches divided into decimal parts2 two pairs dividers with pen and pencil points--one pair of these dividers to be #e and the other #f2 one ruling pen4 ,other instruments can be added as the workman finds he needs them4 ,those enumerated above1 however1 will be all that are absolutely necessary4 ,illustration3 ,fig4 #a ,we shall1 in addition1 need an arc of degrees1 which we can best make for ourselves4 ,to construct one1 we procure a piece of ,no4 #bd brass1 about #e long by #a wide4 ,we show such a piece of brass at ,a1 ,fig4 #a4 ,on this piece of brass we sweep two arcs with a pair of dividers set at precisely #e1 as shown 7reduced7 at a a and b b4 ,on these arcs we set off the space held in our dividers--that is #e--;as shown at the short radial lines at each end of the two arcs4 ,now it is a well-known fact that the space embraced by our dividers contains exactly sixty degrees of the arcs a a and b b1 or one-sixth of the entire circle2 consequently1 we divide the arcs a a and b b into sixty equal parts1 to represent degrees1 and at one end of these arcs we halve five spaces so we can get at half degrees4 ,illustration3 ,fig4 #b ,before we take up the details of drawing an escapement we will say a few words about degrees1 as this seems to be something difficult to understand by most pupils in horology when learning to draw parts of watches to scale4 ,at ,fig4 #b we show several short arcs of fifteen degrees1 all having the common center g4 ,most learners seem to have an idea that a degree must be a specific space1 like an inch or a foot4 ,now the first thing in learning to draw an escapement is to fix in our minds the fact that the extent of a degree depends entirely on the radius of the arc we employ4 ,to aid in this explanation we refer to ,fig4 #b4 ,here the arcs c1 d1 e and f are all fifteen degrees1 although the linear extent of the degree on the arc c is twice that of the degree on the arc f4 ,when we speak of a degree in connection with a circle we mean the one-three-hundred-and-sixtieth part of the periphery of such a circle4 ,in dividing the arcs a a and b b we first divide them into six spaces1 as shown1 and each of these spaces into ten minor spaces1 as is also shown4 ,we halve five of the degree spaces1 as shown at h4 ,we should be very careful about making the degree arcs shown at ,fig4 #a1 as the accuracy of our drawings depends a great deal on the perfection of the division on the scale ,a4 ,in connection with such a fixed scale of degrees as is shown at ,fig4 #a1 a pair of small dividers1 constantly set to a degree space1 is very convenient4 ,,making ,a ,,pair ,,of ,,dividers4 ,illustration3 ,fig4 #c ,to make such a pair of small dividers1 take a piece of hard sheet brass about #a_/bj thick1 wide1 #a long1 and shape it as shown at ,fig4 #c4 ,it should be explained1 the part cut from the sheet brass is shown below the dotted line k1 the portion above 7,c7 being a round handle turned from hard wood or ivory4 ,the slot l is sawn in1 and two holes drilled in the end to insert the needle points i i4 ,in making the slot l we arrange to have the needle points come a little too close together to agree with the degree spaces on the arcs a a and b b4 ,we then put the small screw j through one of the legs ,d''1 and by turning j1 set the needle points i i to exactly agree with the degree spaces4 ,as soon as the points i i are set correctly1 j should be soft soldered fast4 ,the degree spaces on ,a are set off with these dividers and the spaces on ,a very carefully marked4 ,the upper and outer arc a a should have the spaces cut with a graver line1 while the lower one1 b b is best permanently marked with a carefully-made prick punch4 ,after the arc a a is divided1 the brass plate ,a is cut back to this arc so the divisions we have just made are on the edge4 ,the object of having two arcs on the plate ,a is1 if we desire to get at the number of degrees contained in any arc of a #e radius we lay the scale ,a so the edge agrees with the arc a a1 and read off the number of degrees from the scale4 ,in setting dividers we employ the dotted spaces on the arc b b4 ,,delineating ,,an ,,escape ,,wheel4 ,illustration3 ,fig4 #d ,we will now proceed to delineate an escape wheel for a detached lever4 ,we place a piece of good drawing-paper on our drawing-board and provide ourselves with a very hard 7,,hhh7 drawing-pencil and a bottle of liquid ,india ink4 ,after placing our paper on the board1 we draw1 with the aid of our ,t-square1 a line through the center of the paper1 as shown at m m1 ,fig4 #d4 ,at #e from the lower margin of the paper we establish the point p and sweep the circle n n with a radius of #e4 ,we have said nothing about stretching our paper on the drawing-board2 still1 carefully-stretched paper is an important part of nice and correct drawing4 ,we shall subsequently give directions for properly stretching paper1 but for the present we will suppose the paper we are using is nicely tacked to the face of the drawing-board with the smallest tacks we can procure4 ,the paper should not come quite to the edge of the drawing-board1 so as to interfere with the head of the ,t-square4 ,we are now ready to commence delineating our escape wheel and a set of pallets to match4 ,the simplest form of the detached lever escapement in use is the one known as the ratchet-tooth lever escapement1 and generally found in ,english lever watches4 ,this form of escapement gives excellent results when well made2 and we can only account for it not being in more general use from the fact that the escape-wheel teeth are not so strong and capable of resisting careless usage as the club-tooth escape wheel4 ,it will be our aim to convey broad ideas and inculcate general principles1 rather than to give specific instructions for doing one thing one way4 ,the ratchet-tooth lever escapements of later dates have almost invariably been constructed on the ten-degree lever-and-pallet-action plan2 that is1 the fork and pallets were intended to act through this arc4 ,some of the other specimens of this escapement have larger arcs--some as high as twelve degrees4 ,,pallet-,,and-,,fork ,,action4 ,illustration3 ,fig4 #e ,we illustrate at ,fig4 #e what we mean by ten degrees of pallet-and-fork action4 ,if we draw a line through the center of the pallet staff1 and also through the center of the fork slot1 as shown at a b1 ,fig4 #e1 and allow the fork to vibrate five degrees each side of said lines a b1 to the lines a c and a c'1 the fork has what we term ten-degree pallet action4 ,if the fork and pallets vibrate six degrees on each side of the line a b--that is1 to the lines a d and a d'--we have twelve degrees pallet action4 ,if we cut the arc down so the oscillation is only four and one-quarter degrees on each side of a b1 as indicated by the lines a s and a s'1 we have a pallet-and-fork action of eight and one-half degrees2 which1 by the way1 is a very desirable arc for a carefully-constructed escapement4 ,the controlling idea which would seem to rule in constructing a detached lever escapement1 would be to make it so the balance is free of the fork2 that is1 detached1 during as much of the arc of the vibration of the balance as possible1 and yet have the action thoroughly sound and secure4 ,where a ratchet-tooth escapement is thoroughly well-made of eight and one-half degrees of pallet-and-fork action1 ten and one-half degrees of escape-wheel action can be utilized1 as will be explained later on4 ,we will now resume the drawing of our escape wheel1 as illustrated at ,fig4 #d4 ,in the drawing at ,fig4 #f we show the circle n n1 which represents the periphery of our escape wheel2 and in the drawing we are supposed to be drawing it ten inches in diameter4 ,we produce the vertical line m passing through the center p of the circle n4 ,from the intersection of the circle n with the line m at i we lay off thirty degrees on each side1 and establish the points e f2 and from the center p1 through these points1 draw the radial lines p e' and p f'4 ,the points f e1 ,fig4 #f1 are1 of course1 just sixty degrees apart and represent the extent of two and one-half teeth of the escape wheel4 ,there are two systems on which pallets for lever escapements are made1 viz41 equidistant lockings and circular pallets4 ,the advantages claimed for each system will be discussed subsequently4 ,for the first and present illustration we will assume we are to employ circular pallets and one of the teeth of the escape wheel resting on the pallet at the point f2 and the escape wheel turning in the direction of the arrow j4 ,if we imagine a tooth as indicated at the dotted outline at ,d1 ,fig4 #f1 pressing against a surface which coincides with the radial line p f1 the action would be in the direction of the line f h and at right angles to p f4 ,if we reason on the action of the tooth ,d1 as it presses against a pallet placed at f1 we see the action is neutral4 ,illustration3 ,fig4 #f ,,establishing ,,the ,,center ,,of ,,pallet ,,staff4 ,illustration3 ,fig4 #g ,with a fifteen-tooth escape wheel each tooth occupies twenty-four degrees1 and from the point f to e would be two and one-half tooth-spaces4 ,we show the dotted points of four teeth at ,d ,d' ,d'',d'''4 ,to establish the center of the pallet staff we draw a line at right angles to the line p e' from the point e so it intersects the line f h at k4 ,for drawing a line at right angles to another line1 as we have just done1 a hard-rubber triangle1 shaped as shown at ,c1 ,fig4 #g1 can be employed4 ,to use such a triangle1 we place it so the right1 or ninety-degrees angle1 rests at e1 as shown at the dotted triangle ,c1 ,fig4 #f1 and the long side coincides with the radial line p e'4 ,if the short side of the hard-rubber triangle is too short1 as indicated1 we place a short ruler so it rests against the edge1 as shown at the dotted line g e1 ,fig4 #g1 and while holding it securely down on the drawing we remove the triangle1 and with a fine-pointed pencil draw the line e g1 ,fig4 #f1 by the short rule4 ,let us imagine a flat surface placed at e so its face was at right angles to the line g e1 which would arrest the tooth ,d'' after the tooth ,d resting on f had been released and passed through an arc of twelve degrees4 ,a tooth resting on a flat surface1 as imagined above1 would also rest dead4 ,as stated previously1 the pallets we are considering have equidistant locking faces and correspond to the arc l l1 ,fig4 #f4 ,in order to realize any power from our escape-wheel tooth1 we must provide an impulse face to the pallets faced at f e2 and the problem before us is to delineate these pallets so that the lever will be propelled through an arc of eight and one-half degrees1 while the escape wheel is moving through an arc of ten and one-half degrees4 ,we make the arc of fork action eight and one-half degrees for two reasons--7#a7 because most text-books have selected ten degrees of fork-and-pallet action2 7#b7 because most of the finer lever escapements of recent construction have a lever action of less than ten degrees4 ,,laying ,,out ,,escape-,,wheel ,,teeth4 ,to lay out or delineate our escape-wheel teeth1 we continue our drawing shown at ,fig4 #f1 and reproduce this cut very nearly at ,fig4 #h4 ,with our dividers set at five inches1 we sweep the short arc a a' from f as a center4 ,it is to be borne in mind that at the point f is located the extreme point of an escape-wheel tooth4 ,on the arc a a we lay off from p twenty-four degrees1 and establish the point b2 at twelve degrees beyond b we establish the point c4 ,from f we draw the lines f b and f c2 these lines establishing the form and thickness of the tooth ,d4 ,to get the length of the tooth1 we take in our dividers one-half a tooth space1 and on the radial line p f establish the point d and draw circle d' d'4 ,to facilitate the drawing of the other teeth1 we draw the circles d' c'1 to which the lines f b and f c are tangent1 as shown4 ,we divide the circle n n1 representing the periphery of our escape wheel1 into fifteen spaces1 to represent teeth1 commencing at f and continued as shown at o o until the entire wheel is divided4 ,we only show four teeth complete1 but the same methods as produced these will produce them all4 ,to briefly recapitulate the instructions for drawing the teeth for the ratchet-tooth lever escapement3 ,we draw the face of the teeth at an angle of twenty-four degrees to a radial line2 the back of the tooth at an angle of thirty-six degrees to the same radial line2 and make teeth half a tooth-space deep or long4 ,illustration3 ,fig4 #h ,we now come to the consideration of the pallets and how to delineate them4 ,to this we shall add a careful analysis of their action4 ,let us1 before proceeding further1 think a little over some of the factors involved4 ,to aid in this thinking or reasoning on the matter1 let us draw the heavy arc l extending from a little inside of the circle n at f to the circle n at e4 ,if now we imagine our escape wheel to be pressed forward in the direction of the arrow j1 the tooth ,d would press on the arc l and be held4 ,if1 however1 we should revolve the arc l on the center k in the direction of the arrow i1 the tooth ,d would escape from the edge of l and the tooth ,d'' would pass through an arc 7reckoning from the center p7 of twelve degrees1 and be arrested by the inside of the arc l at e4 ,if we now should reverse the motion and turn the arc l backward1 the tooth at e would1 in turn1 be released and the tooth following after ,d 7but not shown7 would engage l at f4 ,by supplying motive to revolve the escape wheel 7,e7 represented by the circle n1 and causing the arc l to oscillate back and forth in exact intervals of time1 we should have1 in effect1 a perfect escapement4 ,to accomplish automatically such oscillations is the problem we have now on hand4 ,,how ,,motion ,,is ,,obtained4 ,in clocks1 the back-and-forth movement1 or oscillating motion1 is obtained by employing a pendulum2 in a movable timepiece we make use of an equally-poised wheel of some weight on a pivoted axle1 which device we term a balance2 the vibrations or oscillations being obtained by applying a coiled spring1 which was first called a pendulum spring1 then a balance spring1 and finally1 from its diminutive size and coil form1 a hairspring4 ,we are all aware that for the motive power for keeping up the oscillations of the escaping circle l we must contrive to employ power derived from the teeth ,d of the escape wheel4 ,about the most available means of conveying power from the escape wheel to the oscillating arc l is to provide the lip of said arc with an inclined plane1 along which the tooth which is disengaged from l at f to slide and move said arc l through--in the present instance an arc of eight and one-half degrees1 during the time the tooth ,d is passing through ten and one-half degrees4 ,this angular motion of the arc l is represented by the radial lines k f' and k r1 ,fig4 #h4 ,we desire to impress on the reader's mind the idea that each of these angular motions is not only required to be made1 but the motion of one mobile must convey power to another mobile4 ,in this case the power conveyed from the mainspring to the escape wheel is to be conveyed to the lever1 and by the lever transmitted to the balance4 ,we know it is the usual plan adopted by text-books to lay down a certain formula for drawing an escapement1 leaving the pupil to work and reason out the principles involved in the action4 ,in the plan we have adopted we propose to induct the reader into the why and how1 and point out to him the rules and methods of analysis of the problem1 so that he can1 if required1 calculate mathematically exactly how many grains of force the fork exerts on the jewel pin1 and also how much 7or1 rather1 what percentage7 of the motive power is lost in various power leaks1 like drop and lost motion4 ,in the present case the mechanical result we desire to obtain is to cause our lever pivoted at k to vibrate back and forth through an arc of eight and one-half degrees2 this lever not only to vibrate back and forth1 but also to lock and hold the escape wheel during a certain period of time2 that is1 through the period of time the balance is performing its excursion and the jewel pin free and detached from the fork4 ,we have spoken of paper being employed for drawings1 but for very accurate delineations we would recommend the horological student to make drawings on a flat metal plate1 after perfectly smoothing the surface and blackening it by oxidizing4 ,,pallet-,,and-,,fork ,,action4 ,by adopting eight and one-half degrees pallet-and-fork action we can utilize ten and one-half degrees of escape-wheel action4 ,we show at ,a ,a'1 ,fig4 #i1 two teeth of a ratchet-tooth escape wheel reduced one-half2 that is1 the original drawing was made for an escape wheel ten inches in diameter4 ,we shall make a radical departure from the usual practice in making cuts on an enlarged scale1 for only such parts as we are talking about4 ,to explain1 we show at ,fig4 #aj about one-half of an escape wheel one eighth the size of our large drawing2 and when we wish to show some portion of such drawing on a larger scale we will designate such enlargement by saying one-fourth1 one-half or full size4 ,illustration3 ,fig4 #i ,at ,fig4 #i we show at half size that portion of our escapement embraced by the dotted lines d1 ,fig4 #aj4 ,this plan enables us to show very minutely such parts as we have under consideration1 and yet occupy but little space4 ,the arc a1 ,fig4 #i1 represents the periphery of the escape wheel4 ,on this line1 ten and one-half degrees from the point of the tooth ,a1 we establish the point c and draw the radial line c c'4 ,it is to be borne in mind that the arc embraced between the points b and c represents the duration of contact between the tooth ,a and the entrance pallet of the lever4 ,the space or short arc c n represents the drop of the tooth4 ,this arc of one and one-half degrees of escape-wheel movement is a complete loss of six and one-fourth per cent4 of the entire power of the mainspring1 as brought down to the escapement2 still1 up to the present time1 no remedy has been devised to overcome it4 ,all the other escapements1 including the chronometer1 duplex and cylinder1 are quite as wasteful of power1 if not more so4 ,it is usual to construct ratchet-tooth pallets so as to utilize but ten degrees of escape-wheel action2 but we shall show that half a degree more can be utilized by adopting the eight and one-half degree fork action and employing a double-roller safety action to prevent over-banking4 ,illustration3 ,fig4 #aj ,from the point e1 which represents the center of the pallet staff1 we draw through b the line e f4 ,at one degree below e f we draw the line e g1 and seven and one-half degrees below the line e g we draw the line e h4 ,for delineating the lines e g1 etc41 correctly1 we employ a degree-arc2 that is1 on the large drawing we are making we first draw the line e b f1 ,fig4 #aj1 and then1 with our dividers set at five inches1 sweep the short arc i1 and on this lay off first one degree from the intersection of f e with the arc i1 and through this point draw the line e g4 ,from the intersection of the line f e with the arc i we lay off eight and one-half degrees1 and through this point draw the line e h4 ,bear in mind that we are drawing the pallet at ,b to represent one with eight and one-half degrees fork-and-pallet action1 and with equidistant lockings4 ,if we reason on the matter under consideration1 we will see the tooth ,a and the pallet ,b1 against which it acts1 part or separate when the tooth arrives at the point c2 that is1 after the escape wheel has moved through ten and one-half degrees of angular motion1 the tooth drops from the impulse face of the pallet and falls through one and one-half degrees of arc1 when the tooth ,a''1 ,fig4 #aj1 is arrested by the exit pallet4 ,to locate the position of the inner angle of the pallet ,b1 sweep the short arc l by setting the dividers so one point or leg rests at the center e and the other at the point c4 ,somewhere on this arc l is to be located the inner angle of our pallet4 ,in delineating this angle1 ,moritz ,grossman1 in his ,prize ,essay on the ,detached ,lever ,escapement1 makes an error1 in ,plate ,,iii of large ,english edition1 of more than his entire lock1 or about two degrees4 ,we make no apologies for calling attention to this mistake on the part of an authority holding so high a position on such matters as ,mr4 ,grossman1 because a mistake is a mistake1 no matter who makes it4 ,we will say no more of this error at present1 but will farther on show drawings of ,mr4 ,grossman's faulty method1 and also the correct method of drawing such a pallet4 ,to delineate the locking face of our pallet1 from the point formed by the intersection of the lines e g b b'1 ,fig4 #i1 as a center1 we draw the line j at an angle of twelve degrees to b b''4 ,in doing this we employ the same method of establishing the angle as we made use of in drawing the lines e g and e h1 ,fig4 #aj4 ,the line j establishes the locking face of the pallet ,b4 ,setting the locking face of the pallet at twelve degrees has been found in practice to give a safe draw to the pallet and keep the lever secure against the bank4 ,it will be remembered the face of the escape-wheel tooth was drawn at twenty-four degrees to a radial line of the escape wheel1 which1 in this instance1 is the line b b'1 ,fig4 #i4 ,it will now be seen that the angle of the pallet just halves this angle1 and consequently the tooth ,a only rests with its point on the locking face of the pallet4 ,we do not show the outlines of the pallet ,b1 because we have not so far pointed out the correct method of delineating it4 ,,methods ,,of ,,making ,,good ,,drawing ,,instruments4 ,perhaps we cannot do our readers a greater favor than to digress from the study of the detached lever escapement long enough to say a few words about drawing instruments and tablets or surfaces on which to delineate1 with due precision1 mechanical designs or drawings4 ,ordinary drawing instruments1 even of the higher grades1 and costing a good deal of money1 are far from being satisfactory to a man who has the proper idea of accuracy to be rated as a first-class mechanic4 ,ordinary compasses are obstinate when we try to set them to the hundredth of an inch2 usually the points are dull and ill-shapen2 if they make a puncture in the paper it is unsightly4 ,watchmakers have one advantage1 however1 because they can very easily work over a cheap set of drawing instruments and make them even superior to anything they can buy at the art stores4 ,to illustrate1 let us take a cheap pair of brass or ,german-silver five-inch dividers and make them over into needle points and spring set4 ,to do this the points are cut off at the line a a1 ,fig #aa1 and a steel tube is gold-soldered on each leg4 ,the steel tube is made by taking a piece of steel wire which will fit a ,no4 #af chuck of a ,whitcomb lathe1 and drilling a hole in the end about one-fourth of an inch deep and about the size of a ,no4 #c sewing needle4 ,we ,show at ,fig4 #ab a view of the point ,a'1 ,fig4 #aa1 enlarged1 and the steel tube we have just drilled out attached at ,c4 ,about the best way to attach ,c is to solder4 ,after the tube ,c is attached a hole is drilled through ,a' at d1 and the thumb-screw d inserted4 ,this thumb-screw should be of steel1 and hardened and tempered4 ,the use of this screw is to clamp the needle point4 ,with such a device as the tube ,c and set-screw d1 a ,no4 #c needle is used for a point2 but for drawings on paper a turned point1 as shown at ,fig #ac1 is to be preferred4 ,such points can be made from a ,no4 #c needle after softening enough to be turned so as to form the point c4 ,this point at the shoulder f should be about #ab_/ajjj of an inch1 or the size of a fourth-wheel pivot to an eighteen size movement4 ,illustration3 ,fig4 #aa ,illustration3 ,fig4 #ab ,illustration3 ,fig4 #ac ,illustration3 ,fig4 #ad ,the idea is1 when drawing on paper the point c enters the paper4 ,for drawing on metal the form of the point is changed to a simple cone1 as shown at ,b' c1 ,fig4 #ac4 such cones can be turned carefully1 then hardened and tempered to a straw color2 and when they become dull1 can be ground by placing the points in a wire chuck and dressing them up with an emery buff or an ,arkansas slip4 ,the opposite leg of the dividers is the one to which is attached the spring for close setting of the points4 ,in making this spring1 we take a piece of steel about two and one-fourth inches long and of the same width as the leg of the divider1 and attach it to the inside of the leg as shown at ,fig4 #ad1 where ,d represents the spring and ,a the leg of the dividers4 ,the spring ,d has a short steel tube ,c'' and set-screw d'' for a fine point like ,b or ,b'4 ,in the lower end of the leg ,a1 ,fig4 #ad1 is placed the milled-head screw g1 which serves to adjust the two points of the dividers to very close distances4 ,the spring ,d is1 of course1 set so it would press close to the leg ,a if the screw g did not force it away4 ,,spring ,,and ,,adjusting ,,screw ,,for ,,drawing ,,instruments4 ,illustration3 ,fig4 #ae ,it will be seen that we can apply a spring ,d and adjusting screw opposite to the leg which carries the pen or pencil point of all our dividers if we choose to do so2 but it is for metal drawing that such points are of the greatest advantage1 as we can secure an accuracy very gratifying to a workman who believes in precision4 ,for drawing circles on metal1 bar compasses are much the best1 as they are almost entirely free from spring1 which attends the jointed compass4 ,to make 7because they cannot be bought7 such an instrument1 take a piece of flat steel1 one-eighth by three-eighths of an inch and seven inches long1 and after turning and smoothing it carefully1 make a slide half an inch wide1 as shown at ,fig4 #ae1 with a set-screw h on top to secure it at any point on the bar ,e4 ,in the lower part of the slide ,f is placed a steel tube like ,c1 shown in ,figs4 #ab and #ad1 with set-screw for holding points like ,b ,b'1 ,fig4 #ac4 ,at the opposite end of the bar ,e is placed a looped spring ,g1 which carries a steel tube and point like the spring ,d1 ,fig4 #ad4 ,above this tube and point1 shown at j1 ,fig4 #ae1 is placed an adjustment screw k for fine adjustment4 ,the inner end of the screw k rests against the end of the bar ,e4 ,the tendency of the spring ,g is to close upon the end of ,e2 consequently if we make use of the screw k to force away the lower end of ,g1 we can set the fine point in j to the greatest exactness4 ,the spring ,g is made of a piece of steel one-eighth of an inch square1 and secured to the bar ,e with a screw and steady pins at m4 ,a pen and pencil point attachment can be added to the spring ,g2 but in case this is done it would be better to make another spring like ,g without the point j1 and with the adjusting screw placed at l4 ,in fitting pen and pencil points to a spring like ,g it would probably be economical to make them outright2 that is1 make the blades and screw for the ruling pen and a spring or clamping tube for the pencil point4 ,,consideration ,,of ,,detached ,,lever ,,escapement ,,resumed4 ,we will now1 with our improved drawing instruments1 resume the consideration of the ratchet-tooth lever escapement4 ,we reproduce at ,fig4 #af a portion of diagram ,,iii1 from ,moritz ,grossmann's ,prize ,essay on the ,detached ,lever ,escapement1 in order to point out the error in delineating the entrance pallet to which we previously called attention4 ,the cut1 as we give it1 is not quite one-half the size of ,mr4 ,grossmann's original plate4 ,in the cut we give the letters of reference employed the same as on the original engraving1 except where we use others in explanation4 ,the angular motion of the lever and pallet action as shown in the cut is ten degrees2 but in our drawing1 where we only use eight and one-half degrees1 the same mistake would give proportionate error if we did not take the means to correct it4 ,the error to which we refer lies in drawing the impulse face of the entrance pallet4 ,the impulse face of this pallet as drawn by ,mr4 ,grossmann would not1 from the action of the engaging tooth1 carry this pallet through more than eight degrees of angular motion2 consequently1 the tooth which should lock on the exit pallet would fail to do so1 and strike the impulse face4 ,we would here beg to add that nothing will so much instruct a person desiring to acquire sound ideas on escapements as making a large model4 ,the writer calls to mind a wood model of a lever escapement made by one of the boys in the ,elgin factory about a year or two after ,mr4 ,grossmann's prize essay was published4 ,it went from hand to hand and did much toward establishing sound ideas as regards the correct action of the lever escapement in that notable concern4 ,if a horological student should construct a large model on the lines laid down in ,mr4 ,grossmann's work1 the entrance pallet would be faulty in form and would not properly perform its functions4 ,why8 perhaps says our reader4 ,in reply let us analyze the action of the tooth ,b as it rests on the pallet ,a4 ,now1 if we move this pallet through an angular motion of one and one-half degrees on the center g 7which also represents the center of the pallet staff71 the tooth ,b is disengaged from the locking face and commences to slide along the impulse face of the pallet and drops1 that is1 falls from the pallet1 when the inner angle of the pallet is reached4 ,illustration3 ,fig4 #af ,this inner angle1 as located by ,mr4 ,grossmann1 is at the intersection of the short arc i with the line g n1 which limits the ten-degree angular motion of the pallets4 ,if we carefully study the drawing1 we will see the pallet has only to move through eight degrees of angular motion of the pallet staff for the tooth to escape1 because the tooth certainly must be disengaged when the inner angle of the pallet reaches the peripheral line a4 ,the true way to locate the position of the inner angle of the pallet1 is to measure down on the arc i ten degrees from its intersection with the peripheral line a and locate a point to which a line is drawn from the intersection of the line g m with the radial line a c1 thus defining the inner angle of the entrance pallet4 ,we will name this point the point x4 ,it may not be amiss to say the arc i is swept from the center g through the point u1 said point being located ten degrees from the intersection of the radial a c with the peripheral line a4 ,it will be noticed that the inner angle of the entrance pallet ,a seems to extend inward1 beyond the radial line a j1 that is1 toward the pallet center g1 and gives the appearance of being much thicker than the exit pallet ,a'2 but we will see on examination that the extreme angle x of the entrance pallet must move on the arc i and1 consequently1 cross the peripheral line a at the point u4 ,if we measure the impulse faces of the two pallets ,a ,a'1 we will find them nearly alike in linear extent4 ,mr4 ,grossmann1 in delineating his exit pallet1 brings the extreme angle 7shown at #d7 down to the periphery of the escape1 as shown in the drawing1 where it extends beyond the intersection of the line g f with the radial line a #c4 ,the correct form for the entrance pallet should be to the dotted line z x y4 ,illustration3 ,fig4 #ag ,we have spoken of engaging and disengaging frictions2 we do not know how we can better explain this term than by illustrating the idea with a grindstone4 ,suppose two men are grinding on the same stone2 each has1 say1 a cold chisel to grind1 as shown at ,fig4 #ag1 where ,g represents the grindstone and ,n ,n' the cold chisels4 ,the grindstone is supposed to be revolving in the direction of the arrow4 ,the chisels ,n and ,n' are both being ground1 but the chisel ,n' is being cut much the more rapidly1 as each particle of grit of the stone as it catches on the steel causes the chisel to hug the stone and bite in deeper and deeper2 while the chisel shown at ,n is thrust away by the action of the grit4 ,now1 friction of any kind is only a sort of grinding operation1 and the same principles hold good4 ,,the ,,necessity ,,for ,,good ,,instruments4 ,it is to be hoped the reader who intends to profit by this treatise has fitted up such a pair of dividers as those we have described1 because it is only with accurate instruments he can hope to produce drawings on which any reliance can be placed4 ,the drawing of a ratchet-tooth lever escapement of eight and one-half degrees pallet action will now be resumed4 ,in the drawing at ,fig4 #ah is shown a complete delineation of such an escapement with eight and one-half degrees of pallet action and equidistant locking faces4 ,it is1 of course1 understood the escape wheel is to be drawn ten inches in diameter1 and that the degree arcs shown in ,fig4 #a will be used4 ,we commence by carefully placing on the drawing-board a sheet of paper about fifteen inches square1 and then vertically through the center draw the line a' a''4 ,at some convenient position on this line is established the point a1 which represents the center of the escape wheel4 ,in this drawing it is not important that the entire escape wheel be shown1 inasmuch as we have really to do with but a little over sixty degrees of the periphery of the escape wheel4 ,with the dividers carefully set at five inches1 from a1 as a center1 we sweep the arc n n1 and from the intersection of the perpendicular line a' a'' with the arc n we lay off on each side thirty degrees from the brass degree arc1 and through the points thus established are drawn the radial lines a b' and a d'4 ,illustration3 ,fig4 #ah ,the point on the arc n where it intersects with the line b' is termed the point b4 ,at the intersection of the radial line a d' is established the point d4 ,we take ten and one-half degrees in the dividers1 and from the point b establish the point c1 which embraces the arc of the escape wheel which is utilized by the pallet action4 ,through the point b the line h' h is drawn at right angles to the line a b'4 ,the line j j' is also drawn at right angles to the line a d' through the point d4 ,we now have an intersection of the lines just drawn in common with the line a a' at the point g1 said point indicating the center of the pallet action4 ,the dividers are now set to embrace the space between the points b and g on the line h' h1 and the arc f f is swept2 which1 in proof of the accuracy of the work1 intersects the arc n at the point d4 ,this arc coincides with the locking faces of both pallets4 ,to lay out the entrance pallet1 the dividers are set to five inches1 and from g as a center the short arc o o is swept4 ,on this arc one degree is laid off below the line h' h1 and the line g i drawn4 ,the space embraced between the lines h and i on the arc f represents the locking face of the entrance pallet1 and the point formed at the intersection of the line g i with the arc f is called the point p4 ,to give the proper lock to the face of the pallet1 from the point p as a center is swept the short arc r r1 and from its intersection with the line a b' twelve degrees are laid off and the line b s drawn1 which defines the locking face of the entrance pallet4 ,from g as a center is swept the arc c' c'1 intersecting the arc n n at c4 ,on this arc 7c7 is located the inner angle of the entrance pallet4 ,the dividers are set to embrace the space on the arc c' between the lines g h' and g k4 ,with this space in the dividers one leg is set at the point c1 measuring down on the arc c' and establishing the point t4 ,the points p and t are then connected1 and thus the impulse face of the entrance pallet ,b is defined4 ,from the point t is drawn the line t t'1 parallel to the line b s1 thus defining the inner face of the entrance pallet4 ,,delineating ,,the ,,exit ,,pallet4 ,to delineate the exit pallet1 sweep the short arc u u 7from g as a center7 with the dividers set at five inches1 and from the intersection of this arc with the line g j' set off eight and one-half degrees and draw the line g l4 ,at one degree below this line is drawn the line g m4 ,the space on the arc f between these lines defines the locking face of the exit pallet4 ,the point where the line g m intersects the arc f is named the point x4 ,from the point x is erected the line x w1 perpendicular to the line g m4 ,from x as a center1 and with the dividers set at five inches1 the short arc y y is swept1 and on this arc are laid off twelve degrees1 and the line x z is drawn1 which line defines the locking face of the exit pallet4 ,next is taken ten and one-half degrees from the brass degree-scale1 and from the point d on the arc n the space named is laid off1 and thus is established the point v2 and from g as a center is swept the arc v' v' through the point v4 ,it will be evident on a little thought1 that if the tooth ,a' impelled the exit pallet to the position shown1 the outer angle of the pallet must extend down to the point v1 on the arc v' v'2 consequently1 we define the impulse face of this pallet by drawing a line from point x to v4 ,to define the outer face of the exit pallet1 we draw the line v e parallel to the line x z4 ,there are no set rules for drawing the general form of the pallet arms1 only to be governed by and conforming to about what we would deem appropriate1 and to accord with a sense of proportion and mechanical elegance4 ,ratchet-tooth pallets are usually made in what is termed close pallets2 that is1 the pallet jewel is set in a slot sawed in the steel pallet arm1 which is undoubtedly the strongest and most serviceable form of pallet made4 ,we shall next consider the ratchet-tooth lever escapement with circular pallets and ten degrees of pallet action4 ,,delineating ,,circular ,,pallets4 ,to delineate circular pallets for a ratchet-tooth lever escapement1 we proceed very much as in the former drawing1 by locating the point ,a1 which represents the center of the escape wheel1 at some convenient point1 and with the dividers set at five inches1 sweep the arc m1 to represent the periphery of the escape wheel1 and then draw the vertical line ,a ,b'1 ,fig4 #ai4 ,we 7as before7 lay off thirty degrees on the arc m each side of the intersection of said arc with the line ,a ,b'1 and thus establish on the arc m the points a b1 and from ,a as a center draw through the points so established the radial lines ,a a' and ,a b'4 ,we erect from the point a a perpendicular to the line ,a a1 and1 as previously explained1 establish the pallet center at ,b4 ,inasmuch as we are to employ circular pallets1 we lay off to the left on the arc m1 from the point a1 five degrees1 said five degrees being half of the angular motion of the escape wheel utilized in the present drawing1 and thus establish the point c1 and from ,a as a center draw through this point the radial line ,a c'4 ,to the right of the point a we lay off five degrees and establish the point d4 ,to illustrate the underlying principle of our circular pallets3 with one leg of the dividers set at ,b we sweep through the points c a d the arcs c'' a'' d''4 ,from ,b as a center1 we continue the line ,b a to f1 and with the dividers set at five inches1 sweep the short arc e e4 ,from the intersection of this arc with the line ,b f we lay off one and a half degrees and draw the line ,b g1 which establishes the extent of the lock on the entrance pallet4 ,it will be noticed the linear extent of the locking face of the entrance pallet is greater than that of the exit1 although both represent an angle of one and a half degrees4 ,really1 in practice1 this discrepancy is of little importance1 as the same side-shake in banking would secure safety in either case4 ,illustration3 ,fig4 #ai ,the fault we previously pointed out1 of the generally accepted method of delineating a detached lever escapement1 is not as conspicuous here as it is where the pallets are drawn with equidistant locking faces2 that is1 the inner angle of the entrance pallet 7shown at s7 does not have to be carried down on the arc d' as far to insure a continuous pallet action of ten degrees1 as with the pallets with equidistant locking faces4 ,still1 even here we have carried the angle s down about half a degree on the arc d'1 to secure a safe lock on the exit pallet4 ,,the ,,amount ,,of ,,lock4 ,if we study the large drawing1 where we delineate the escape wheel ten inches in diameter1 it will readily be seen that although we claim one and a half degrees lock1 we really have only about one degree1 inasmuch as the curve of the peripheral line m diverges from the line ,b f1 and1 as a consequence1 the absolute lock of the tooth ,c on the locking face of the entrance pallet ,e is but about one degree4 ,under these conditions1 if we did not extend the outer angle of the exit pallet at t down to the peripheral line m1 we would scarcely secure one-half a degree of lock4 ,this is true of both pallets4 ,we must carry the pallet angles at r s n t down on the circles c'' d' if we would secure the lock and impulse we claim2 that is1 one and a half degrees lock and eight and a half degrees impulse4 ,now1 while the writer is willing to admit that a one-degree lock in a sound1 well-made escapement is ample1 still he is not willing to allow of a looseness of drawing to incorporate to the extent of one degree in any mechanical matter demanding such extreme accuracy as the parts of a watch4 ,it has been claimed that such defects can1 to a great extent1 be remedied by setting the escapement closer2 that is1 by bringing the centers of the pallet staff and escape wheel nearer together4 ,we hold that such a course is not mechanical and1 further1 that there is not the slightest necessity for such a policy4 ,,advantage ,,of ,,making ,,large ,,drawings4 ,by making the drawings large1 as we have already suggested and insisted upon1 we can secure an accuracy closely approximating perfection4 ,as1 for instance1 if we wish to get a lock of one and a half degrees on the locking face of the entrance pallet ,e1 we measure down on the arc c'' from its intersection with the peripheral line m one and a half degrees1 and establish the point r and thus locate the outer angle of the entrance pallet ,e1 so there will really be one and a half degrees of lock2 and by measuring down on the arc d' ten degrees from its intersection with the peripheral line m1 we locate the point s1 which determines the position of the inner angle of the entrance pallet1 and we know for a certainty that when this inner angle is freed from the tooth it will be after the pallet 7and1 of course1 the lever7 has passed through exactly ten degrees of angular motion4 ,for locating the inner angle of the exit pallet1 we measure on the arc d'1 from its intersection with the peripheral line m1 eight and a half degrees1 and establish the point n1 which locates the position of this inner angle2 and1 of course1 one and a half degrees added on the arc d' indicates the extent of the lock on this pallet4 ,such drawings not only enable us to theorize to extreme exactness1 but also give us proportionate measurements1 which can be carried into actual construction4 ,,the ,,club-,,tooth ,,lever ,,escapement4 ,we will now take up the club-tooth form of the lever escapement4 ,this form of tooth has in the ,united ,states and in ,switzerland almost entirely superceded the ratchet tooth4 ,the principal reason for its finding so much favor is1 we think1 chiefly owing to the fact that this form of tooth is better able to stand the manipulations of the able-bodied watchmaker1 who possesses more strength than skill4 ,we will not pause now1 however1 to consider the comparative merits of the ratchet and club-tooth forms of the lever escapement1 but leave this part of the theme for discussion after we have given full instructions for delineating both forms4 ,with the ratchet-tooth lever escapement all of the impulse must be derived from the pallets1 but in the club-tooth escapement we can divide the impulse planes between the pallets and the teeth to suit our fancy2 or perhaps it would be better to say carry out theories1 because we have it in our power1 in this form of the lever escapement1 to indulge ourselves in many changes of the relations of the several parts4 ,with the ratchet tooth the principal changes we could make would be from pallets with equidistant lockings to circular pallets4 ,the club-tooth escape wheel not only allows of circular pallets and equidistant lockings1 but we can divide the impulse between the pallets and the teeth in such a way as will carry out many theoretical advantages which1 after a full knowledge of the escapement action is acquired1 will naturally suggest themselves4 ,in the escapement shown at ,fig4 #bj we have selected1 as a very excellent example of this form of tooth1 circular pallets of ten degrees fork action and ten and a half degrees of escape-wheel action4 ,it will be noticed that the pallets here are comparatively thin to those in general use2 this condition is accomplished by deriving the principal part of the impulse from driving planes placed on the teeth4 ,as relates to the escape-wheel action of the ten and one-half degrees1 which gives impulse to the escapement1 five and one-half degrees are utilized by the driving planes on the teeth and five by the impulse face of the pallet4 ,of the ten degrees of fork action1 four and a half degrees relate to the impulse face of the teeth1 one and a half degrees to lock1 and four degrees to the driving plane of the pallets4 ,in delineating such a club-tooth escapement1 we commence1 as in former examples1 by first assuming the center of the escape wheel at ,a1 and with the dividers set at five inches sweeping the arc a a4 ,through ,a we draw the vertical line ,a ,b'4 ,on the arc a a1 and each side of its intersection with the line ,a ,b'1 we lay off thirty degrees1 as in former drawings1 and through the points so established on the arc a a we draw the radial lines ,a b and ,a c4 ,from the intersection of the radial line ,a b with the arc a we draw the line h h at right angles to ,a b4 ,where the line h intersects the radial lines ,a ,b' is located the center of the pallet staff1 as shown at ,b4 ,inasmuch as we decided to let the pallet utilize five degrees of escape-wheel action1 we take a space of two and a half degrees in the dividers1 and on the arc a a lay off the said two and a half degrees to the left of this intersection1 and through the point so established draw the radial line ,a g4 ,from ,b as a center we sweep the arc d d so it passes through the point of intersection of the arc a with the line ,a g4 ,illustration3 ,fig4 #bj ,we again lay off two and a half degrees from the intersection of the line ,a b with the arc a1 but this time to the right of said intersection1 and through the point so established1 and from ,b as a center1 we sweep the arc e4 ,from the intersection of the radial line ,a g with the arc a we lay off to the left five and a half degrees on said arc1 and through the point so established draw the radial line ,a f4 ,with the dividers set at five inches we sweep the short arc m from ,b as a center4 ,from the intersection of the line h ,b h' with the arc m we lay off on said arc and above the line h' four and a half degrees1 and through the point so established draw the line ,b j4 ,we next set the dividers so they embrace the space on the radial line ,a b between its intersection with the line ,b j and the center ,a1 and from ,a as a center sweep the arc i1 said arc defining the addendum of the escape-wheel teeth4 ,we draw a line from the intersection of the radial line ,a f with the arc i to the intersection of the radial line ,a g with the arc a1 and thus define the impulse face of the escape-wheel tooth ,d4 ,for defining the locking face of the tooth we draw a line at an angle of twenty-four degrees to the line ,a g1 as previously described4 ,the back of the tooth is defined with a curve swept from some point on the addendum circle i1 such as our judgment will dictate4 ,in the drawing shown at ,fig4 #bj the radius of this curve was obtained by taking eleven and a half degrees from the degree arc of #e radius in the dividers1 and setting one leg at the intersection of the radial line ,a f with the arc i1 and placing the other on the line i1 and allowing the point so established to serve as a center1 the arc was swept for the back of the tooth1 the small circle at n denoting one of the centers just described4 ,the length for the face of the tooth was obtained by taking eleven degrees from the degree arc just referred to and laying that space off on the line p1 which defined the face of the tooth4 ,the line ,b k is laid off one and a half degrees below ,b h on the arc m4 ,the extent of this arc on the arc d defines the locking face of the entrance pallet4 ,we set off four degrees on the arc m below the line ,b k1 and through the point so established draw the line ,b l4 ,we draw a line from the intersection of the line ,a g with the line c h to the intersection of the arc e with the line c l1 and define the impulse face of the entrance pallet4 ,,relations ,,of ,,the ,,several ,,parts4 ,before we proceed to delineate the exit pallet of our escapement1 let us reason on the relations of the several parts4 ,the club-tooth lever escapement is really the most complicated escapement made4 ,we mean by this that there are more factors involved in the problem of designing it correctly than in any other known escapement4 ,most--we had better say all1 for there are no exceptions which occur to us--writers on the lever escapement lay down certain empirical rules for delineating the several parts1 without giving reasons for this or that course4 ,for illustration1 it is an established practice among escapement makers to employ tangential lockings1 as we explained and illustrated in ,fig4 #af4 ,now1 when we adopt circular pallets and carry the locking face of the entrance pallet around to the left two and a half degrees1 the true center for the pallet staff1 if we employ tangent lockings1 would be located on a line drawn tangent to the circle a a from its intersection with the radial line ,a k1 ,fig4 #ba4 ,such a tangent is depicted at the line s l'4 ,if we reason on the situation1 we will see that the line ,a k is not at right angles to the line s l2 and1 consequently1 the locking face of the entrance pallet ,e has not really the twelve-degree lock we are taught to believe it has4 ,illustration3 ,fig4 #ba ,we will not discuss these minor points further at present1 but leave them for subsequent consideration4 ,we will say1 however1 that we could locate the center of the pallet action at the small circle ,b' above the center ,b1 which we have selected as our fork-and-pallet action1 and secure a perfectly sound escapement1 with several claimed advantages4 ,let us now take up the delineation of the exit pallet4 ,it is very easy to locate the outer angle of this pallet1 as this must be situated at the intersection of the addendum circle i and the arc g1 and located at o4 ,it is also self-evident that the inner or locking angle must be situated at some point on the arc h4 ,to determine this location we draw the line ,b c from ,b 7the pallet center7 through the intersection of the arc h with the pitch circle a4 ,again1 it follows as a self-evident fact1 if the pallet we are dealing with was locked1 that is1 engaged with the tooth ,d''1 the inner angle n of the exit pallet would be one and a half degrees inside the pitch circle a4 ,with the dividers set at #e1 we sweep the short arc b b1 and from the intersection of this arc with the line ,b c we lay off ten degrees1 and through the point so established1 from ,b1 we draw the line ,b d4 ,below the point of intersection of the line ,b d with the short arc b b we lay off one and a half degrees1 and through the point thus established we draw the line ,b e4 ,,locating ,,the ,,inner ,,angle ,,of ,,the ,,exit ,,pallet4 ,the intersection of the line ,b e with the arc h1 which we will term the point n1 represents the location of the inner angle of the exit pallet4 ,we have already explained how we located the position of the outer angle at o4 ,we draw the line n o and define the impulse face of the exit pallet4 ,if we mentally analyze the problem in hand1 we will see that as the exit pallet vibrates through its ten degrees of arc the line ,b d and ,b c change places1 and the tooth ,d'' locks one and a half degrees4 ,to delineate the locking face of the exit pallet1 we erect a perpendicular to the line ,b e from the point n1 as shown by the line n p4 ,from n as a center we sweep the short arc t t1 and from its intersection with the line n p we lay off twelve degrees1 and through the point so established we draw the line n u1 which defines the locking face of the exit pallet4 ,we draw the line o o' parallel with n u and define the outer face of said pallet4 ,in ,fig4 #ba we have not made any attempt to show the full outline of the pallets1 as they are delineated in precisely the same manner as those previously shown4 ,we shall next describe the delineation of a club-tooth escapement with pallets having equidistant locking faces2 and in ,fig4 #bb we shall show pallets with much wider arms1 because1 in this instance1 we shall derive more of the impulse from the pallets than from the teeth4 ,we do this to show the horological student the facility with which the club-tooth lever escapement can be manipulated4 ,we wish also to impress on his mind the facts that the employment of thick pallet arms and thin pallet arms depends on the teeth of the escape wheel for its efficiency1 and that he must have knowledge enough of the principles of action to tell at a glance on what lines the escapement was constructed4 ,suppose1 for illustration1 we get hold of a watch which has thin pallet arms1 or stones1 if they are exposed pallets1 and the escape was designed for pallets with thick arms4 ,there is no sort of tinkering we can do to give such a watch a good motion1 except to change either the escape wheel or the pallets4 ,if we know enough of the lever escapement to set about it with skill and judgment1 the matter is soon put to rights2 but otherwise we can look and squint1 open and close the bankings1 and tinker about till doomsday1 and the watch be none the better4 ,,club-,,tooth ,,lever ,,with ,,equidistant ,,locking ,,faces4 ,in drawing a club-tooth lever escapement with equidistant locking1 we commence1 as on former occasions1 by producing the vertical line ,a k1 ,fig4 #bb1 and establishing the center of the escape wheel at ,a1 and with the dividers set at #e sweep the pitch circle a4 ,on each side of the intersection of the vertical line ,a k with the arc a we set off thirty degrees on said arc1 and through the points so established draw the radial lines ,a b and ,a c4 ,from the intersection of the radial line ,a b with the arc a lay off three and a half degrees to the left of said intersection on the arc a1 and through the point so established draw the radial line ,a e4 ,from the intersection of the radial line ,a b with the arc a erect the perpendicular line f1 and at the crossing or intersection of said line with the vertical line ,a k establish the center of the pallet staff1 as indicated by the small circle ,b4 ,from ,b as a center sweep the short arc l with a #e radius2 and from the intersection of the radial line ,a b with the arc a continue the line f until it crosses the short arc l1 as shown at f'4 ,lay off one and a half degrees on the arc l below its intersection with the line f'1 and from ,b as a center draw the line ,b i through said intersection4 ,from ,b as a center1 through the intersection of the radial line ,a b and the arc a1 sweep the arc g4 ,the space between the lines ,b f' and ,b i on the arc g defines the extent of the locking face of the entrance pallet ,c4 ,the intersection of the line ,b f' with the arc g we denominate the point o1 and from this point as a center sweep the short arc p with a #e radius2 and on this arc1 from its intersection with the radial line ,a b1 lay off twelve degrees1 and through the point so established1 from o as a center1 draw the radial line o m1 said line defining the locking face of the entrance pallet ,c4 ,illustration3 ,fig4 #bb ,it will be seen that this gives a positive draw of twelve degrees to the entrance pallet2 that is1 counting to the line ,b f'4 ,in this escapement as delineated there is perfect tangential locking4 ,if the locking face of the entrance-pallet stone at ,c was made to conform to the radial line ,a b1 the lock of the tooth ,d at o would be dead2 that is1 absolutely neutral4 ,the tooth ,d would press the pallet ,c in the direction of the arrow x1 toward the center of the pallet staff ,b1 with no tendency on the part of the pallet to turn on its axis ,b4 ,theoretically1 the pallet with the locking face cut to coincide with the line ,a b would resist movement on the center ,b in either direction indicated by the double-headed arrow y4 ,a pallet at ,c with a circular locking face made to conform to the arc g1 would permit movement in the direction of the double-headed arrow y with only mechanical effort enough to overcome friction4 ,but it is evident on inspection that a locking face on the line ,a b would cause a retrograde motion of the escape wheel1 and consequent resistance1 if said pallet was moved in either direction indicated by the double-headed arrow y4 ,precisely the same conditions obtain at the point u1 which holds the same relations to the exit pallet as the point o does to the entrance pallet ,c4 ,,angular ,,motion ,,of ,,escape ,,wheel ,,determined4 ,the arc 7three and a half degrees7 of the circle a embraced between the radial lines ,a b and ,a e determines the angular motion of the escape wheel utilized by the escape-wheel tooth4 ,to establish and define the extent of angular motion of the escape wheel utilized by the pallet1 we lay off seven degrees on the arc a from the point o and establish the point n1 and through the point n1 from ,b as a center1 we sweep the short arc n'4 ,now somewhere on this arc n' will be located the inner angle of the entrance pallet4 ,with a carefully-made drawing1 having the escape wheel #aj in diameter1 it will be seen that the arc a separates considerably from the line1 ,b f' where it crosses the arc n'4 ,it will be remembered that when drawing the ratchet-tooth lever escapement a measurement of eight and a half degrees was made on the arc n' down from its intersection with the pitch circle1 and thus the inner angle of the pallet was located4 ,in the present instance the addendum line w becomes the controlling arc1 and it will be further noticed on the large drawing that the line ,b h at its intersection with the arc n' approaches nearer to the arc w than does the line ,b f' to the pitch circle a2 consequently1 the inner angle of the pallet should not in this instance be carried down on the arc n' so far to correct the error as in the ratchet tooth4 ,reason tells us that if we measure ten degrees down on the arc n' from its intersection with the addendum circle w we must define the position of the inner angle of the entrance pallet4 ,we name the point so established the point r4 ,the outer angle of this pallet is located at the intersection of the radial line ,a b with the line ,b i2 said intersection we name the point v4 ,draw a line from the point v to the point r1 and we define the impulse face of the entrance pallet2 and the angular motion obtained from it as relates to the pallet staff embraces six degrees4 ,measured on the arc l1 the entire ten degrees of angular motion is as follows3 ,two and a half degrees from the impulse face of the tooth1 and indicated between the lines ,b h and ,b f2 one and a half degrees lock between the lines ,b f' and ,b i2 six degrees impulse from pallet face1 entrance between the lines ,b i and ,b j4 ,a ,,departure ,,from ,,former ,,practices4 ,grossmann and ,britten1 in all their delineations of the club-tooth escapement1 show the exit pallet as disengaged4 ,to vary from this beaten track we will draw our exit pallet as locked4 ,there are other reasons which prompt us to do this1 one of which is1 pupils are apt to fall into a rut and only learn to do things a certain way1 and that way just as they are instructed4 ,to illustrate1 the writer has met several students of the lever escapement who could make drawings of either club or ratchet-tooth escapement with the lock on the entrance pallet2 but when required to draw a pallet as illustrated at ,fig4 #bc1 could not do it correctly4 ,occasionally one could do it1 but the instances were rare4 ,a still greater poser was to request them to delineate a pallet and tooth when the action of escaping was one-half or one-third performed2 and it is easy to understand that only by such studies the master workman can thoroughly comprehend the complications involved in the club-tooth lever escapement4 ,,an ,,apt ,,illustration4 ,as an illustration3 ,two draughtsmen1 employed by two competing watch factories1 each designs a club-tooth escapement4 ,we will further suppose the trains and mainspring power used by each concern to be precisely alike4 ,but in practice the escapement of the watches made by one factory would set1 that is1 if you stopped the balance dead still1 with the pin in the fork1 the watch would not start of itself2 while the escapement designed by the other draughtsman would not set--stop the balance dead as often as you choose1 the watch would start of itself4 ,yet even to experienced workmen the escape wheels and pallets looked exactly alike4 ,of course1 there was a difference1 and still none of the text-books make mention of it4 ,for the present we will go on with delineating our exit pallet4 ,the preliminaries are the same as with former drawings1 the instructions for which we need not repeat4 ,previous to drawing the exit pallet1 let us reason on the matter4 ,the point r in ,fig4 #bc is located at the intersection of pitch circle a and the radial line ,a c2 and this will also be the point at which the tooth ,c will engage the locking face of the exit pallet4 ,this point likewise represents the advance angle of the engaging tooth4 ,now if we measure on the arc k 7which represents the locking faces of both pallets7 downward one and a half degrees1 we establish the lock of the pallet ,e4 ,to get this one and a half degrees defined on the arc k1 we set the dividers at #e1 and from ,b as a center sweep the short arc i1 and from the intersection of the arc i with the line ,b e we lay off on said arc i one and a half degrees1 and through the point so established draw the line ,b f4 ,now the space on the arc k between the lines ,b e and ,b f defines the angular extent of the locking face4 ,with the dividers set at #e and one leg resting at the point r1 we sweep the short arc t1 and from the intersection of said arc with the line ,a c we draw the line n p2 but in doing so we extend it 7the line7 so that it intersects the line ,b f1 and at said intersection is located the inner angle of the exit pallet4 ,this intersection we will name the point n4 ,illustration3 ,fig4 #bc ,from the intersection of the line ,b e with the arc i we lay off two and a half degrees on said arc1 and through the point so established we draw the line ,b g4 ,the intersection of this line with the arc k we name the point z4 ,with one leg of our dividers set at ,a we sweep the arc l so it passes through the point z4 ,this last arc defines the addendum of the escape-wheel teeth4 ,from the point r on the arc a we lay off three and a half degrees1 and through the point so established draw the line ,a j4 ,,locating ,,the ,,outer ,,angle ,,of ,,the ,,impulse ,,planes4 ,the intersection of this line with the addendum arc l locates the outer angle of the impulse planes of the teeth1 and we name it the point x4 ,from the point r we lay off on the arc a seven degrees and establish the point v1 which defines the extent of the angular motion of the escape wheel utilized by pallet4 ,through the point v1 from ,b as a center1 we sweep the short arc m4 ,it will be evident on a moment's reflection that this arc m must represent the path of movement of the outer angle of the exit pallet1 and if we measure down ten degrees from the intersection of the arc l with the arc m1 the point so established 7which we name the point s7 must be the exact position of the outer angle of the pallet during locking4 ,we have a measure of ten degrees on the arc m1 between the lines ,b g and ,b h1 and by taking this space in the dividers and setting one leg at the intersection of the arc l with the arc m1 and measuring down on m1 we establish the point s4 ,drawing a line from point n to point s we define the impulse face of the pallet4 ,,making ,,an ,,escapement ,,model4 ,illustration3 ,fig4 #bd ,it is next proposed we apply the theories we have been considering and make an enlarged model of an escapement1 as shown at ,figs4 #bd and #be4 ,this model is supposed to have an escape wheel one-fifth the size of the #aj one we have been drawing4 ,in the accompanying cuts are shown only the main plate and bridges in full lines1 while the positions of the escape wheel and balance are indicated by the dotted circles ,i ,b4 ,the cuts are to no precise scale1 but were reduced from a full-size drawing for convenience in printing4 ,we shall give exact dimensions1 however1 so there will be no difficulty in carrying out our instructions in construction4 ,illustration3 ,fig4 #be ,perhaps it would be as well to give a general description of the model before taking up the details4 ,a reduced side view of the complete model is given at ,fig4 #bf4 ,in this cut the escapement model shown at ,figs4 #bd and #be is sketched in a rough way at ,r1 while ,n shows a glass cover1 and ,m a wooden base of polished oak or walnut4 ,this base is recessed on the lower side to receive an eight-day spring clock movement1 which supplies the motive power for the model4 ,this base is recessed on top to receive the main plate ,a1 ,fig4 #bd1 and also to hold the glass shade ,n in position4 ,the base ,m is #b high and #h diameter4 ,the glass cover ,n can have either a high and spherical top1 as shown1 or1 as most people prefer1 a flattened oval4 ,illustration3 ,fig4 #bf ,the main plate ,a is of hard spring brass1 #a_/aj thick and #f in diameter2 in fact1 a simple disk of the size named1 with slightly rounded edges4 ,the top plate1 shown at ,c1 ,figs4 #bd and #be1 is #a_/h thick and shaped as shown4 ,this plate 7,c7 is supported on two pillars in diameter and #a high4 ,fig4 #be is a side view of ,fig4 #bd seen in the direction of the arrow p4 ,the cock ,d is also of #a_/h spring brass shaped as shown1 and attached by the screw f and steady pins s s to the top plate ,c4 ,the bridge ,f ,g carries the top pivots of escape wheel and pallet staff1 and is shaped as shown at the full outline4 ,this bridge is supported on two pillars high and in diameter1 one of which is shown at ,e1 ,fig4 #be1 and both at the dotted circles ,e ,e'1 ,fig4 #bd4 ,to lay out the lower plate we draw the line a a so it passes through the center of ,a at m4 ,at #a4c from one edge of ,a we establish on the line a the point d1 which locates the center of the escape wheel4 ,on the same line a at #a4ae from d we establish the point b1 which represents the center of the pallet staff4 ,at the distance of #a4af from b we establish the point c1 which represents the center of the balance staff4 ,to locate the pillars ,h1 which support the top plate ,c1 we set the dividers at #b4eh1 and from the center m sweep the arc n4 ,from the intersection of this arc with the line a 7at r7 we lay off on said arc n #b4a and establish the points g g'1 which locate the center of the pillars ,h ,h4 ,with the dividers set so one leg rests at the center m and the other leg at the point d1 we sweep the arc t4 ,with the dividers set at #a4cc we establish on the arc t1 from the point d1 the points e e'1 which locate the position of the pillars ,e ,e'4 ,the outside diameter of the balance ,b is #c-e_/h with the rim #c_/af wide and #e_/af deep1 with screws in the rim in imitation of the ordinary compensation balance4 ,speaking of a balance of this kind suggests to the writer the trouble he experienced in procuring material for a model of this kind--for the balance1 a pattern had to be made1 then a casting made1 then a machinist turned the casting up1 as it was too large for an ,american lathe4 ,a hairspring had to be specially made1 inasmuch as a mainspring was too short1 the coils too open and1 more particularly1 did not look well4 ,pallet jewels had to be made1 and lapidists have usually poor ideas of close measurements4 ,present-day conditions1 however1 will1 no doubt1 enable the workman to follow our instructions much more readily4 ,,making ,,the ,,bridges4 ,in case the reader makes the bridges ,c and ,f1 as shown in ,fig4 #bg1 he should locate small circles on them to indicate the position of the screws for securing these bridges to the pillars which support them1 and also other small circles to indicate the position of the pivot holes d b for the escape wheel and pallet staff4 ,in practice it will be well to draw the line a a through the center of the main plate ,a1 as previously directed1 and also establish the point d as therein directed4 ,the pivot hole d' for the escape wheel1 and also the holes at e e and b1 are now drilled in the bridge ,f4 ,these holes should be about #a_/af in diameter4 ,the same sized hole is also drilled in the main plate ,a at d4 ,we now place a nicely-fitting steel pin in the hole d' in the bridge ,f and let it extend into the hole d in the main plate4 ,we clamp the bridge ,f to ,a so the hole b comes central on the line a1 and using the holes e e in ,f as guides1 drill or mark the corresponding holes e' e' and b in the main plate for the pillars ,e ,e' and the pallet staff4 ,illustration3 ,fig4 #bg ,this plan will insure the escape wheel and pallet staff being perfectly upright4 ,the same course pursued with the plate ,c will insure the balance being upright4 ,the pillars which support the bridges are shaped as shown at ,fig4 #bh1 which shows a side view of one of the pillars which support the top plate or bridge ,c4 ,the ends are turned to in diameter and extend half through the plate1 where they are held by screws1 the same as in ,american movements4 ,illustration3 ,fig4 #bh ,the pillars 7like ,h7 can be riveted in the lower plate ,a1 but we think most workmen will find it more satisfactory to employ screws1 as shown at ,fig4 #bi4 ,the heads of such screws should be about #c_/h in diameter and nicely rounded1 polished and blued4 ,we would not advise jeweling the pivot holes1 because there is but slight friction1 except to the foot of the balance pivot1 which should be jeweled with a plano-convex garnet4 ,illustration3 ,fig4 #bi ,,imitation ,,rubies ,,for ,,capping ,,the ,,top ,,pivots4 ,the top pivots to the escape wheel should be capped with imitation rubies for appearance sake only1 letting the cap settings be red gold1 or brass red gilded4 ,if real twelve-karat gold is employed the cost will not be much1 as the settings are only about #c_/h across and can be turned very thin1 so they will really contain but very little gold4 ,the reason why we recommend imitation ruby cap jewels for the upper holes1 is that such jewels are much more brilliant than any real stone we can get for a moderate cost4 ,besides1 there is no wear on them4 ,the pallet jewels are also best made of glass1 as garnet or any red stone will look almost black in such large pieces4 ,red carnelian has a sort of brick-red color1 which has a cheap appearance4 ,there is a new phosphorus glass used by optical instrument makers which is intensely hard1 and if colored ruby-red makes a beautiful pallet jewel1 which will afford as much service as if real stones were used2 they are no cheaper than carnelian pallets1 but much richer looking4 ,the prettiest cap for the balance is one of those foilback stones in imitation of a rose-cut diamond4 ,illustration3 ,fig4 #cj ,illustration3 ,fig4 #ca ,in turning the staffs it is the best plan to use double centers1 but a piece of ,stubs steel wire that will go into a ,no4 #dj wire chuck1 will answer2 in case such wire is used1 a brass collet must be provided4 ,this will be understood by inspecting ,fig4 #cj1 where ,l represents the ,stubs wire and ,b ,n the brass collet1 with the balance seat shown at k4 ,the escape-wheel arbor and pallet staff can be made in the same way4 ,the lower end of the escape wheel pivot is made about long1 so that a short piece of brass wire can be screwed upon it1 as shown in ,fig4 #ca1 where h represents the pivot1 ,a the lower plate1 and the dotted line at p the brass piece screwed on the end of the pivot4 ,this piece p is simply a short bit of brass wire with a female screw tapped into the end1 which screws on to the pivot4 ,an arm is attached to p1 as shown at ,t4 ,the idea is1 the pieces ,t p act like a lathe dog to convey the power from one of the pivots of an old eight-day spring clock movement1 which is secured by screws to the lower side of the main plate ,a4 ,the plan is illustrated at ,fig4 #cb1 where l represents pivot of the eight-day clock employed to run the model4 ,counting the escape-wheel pivot of the clock as one1 we take the third pivot from this in the clock train1 placing the movement so this point comes opposite the escape-wheel pivot of the model1 and screw the clock movement fast to the lower side of the plate ,a4 ,the parts ,t1 ,fig4 #cc1 are alike on both pivots4 ,illustration3 ,fig4 #cb ,illustration3 ,fig4 #cc ,,profitable ,,for ,,explaining ,,to ,a ,,customer4 ,to fully appreciate such a large escapement model as we have been describing1 a person must see it with its great balance1 nearly #d across1 flashing and sparkling in the show window in the evening1 and the brilliant imitation ruby pallets dipping in and out of the escape wheel4 ,a model of this kind is far more attractive than if the entire train were shown1 the mystery of ,what makes it go8 being one of the attractions4 ,such a model is1 further1 of great value in explaining to a customer what you mean when you say the escapement of his watch is out of order4 ,any practical workman can easily make an even #ajj extra in a year by making use of such a model4 ,for explaining to customers an extra balance cock can be used to show how the jewels 7hole and cap7 are arranged4 ,where the parts are as large as they are in the model1 the customer can see and understand for himself what is necessary to be done4 ,it is not to be understood that our advice to purchase the jewels for an extra balance cock conflicts with our recommending the reader not to jewel the holes of his model4 ,the extra cock is to be shown1 not for use1 and is employed solely for explaining to a customer what is required when a pivot or jewel is found to be broken4 ,,how ,,large ,,screws ,,are ,,made4 ,the screws which hold the plates in place should have heads about #c_/h in diameter1 to be in proportion to the scale on which the balance and escape wheel are gotten up4 ,there is much in the manner in which the screw heads are finished as regards the elegance of such a model4 ,a perfectly flat head1 no matter how highly polished1 does not look well1 neither does a flattened conehead1 like ,fig4 #ce4 ,the best head for this purpose is a cupped head with chamfered edges1 as shown at ,fig4 #cd in vertical section4 ,the center b is ground and polished into a perfect concave by means of a metal ball4 ,the face1 between the lines a a1 is polished dead flat1 and the chamfered edge a c finished a trifle convex4 ,the flat surface at a is bright1 but the concave b and chamfer at c are beautifully blued4 ,for a gilt-edged1 double extra head1 the chamfer at c can be snailed1 that is1 ground with a suitable lap before bluing1 like the stem-wind wheels on some watches4 ,illustration3 ,fig4 #cd ,illustration3 ,fig4 #ce ,,fancy ,,screwheads4 ,there are two easy methods of removing the blue from the flat part of the screwhead at a4 7#a7 ,make a special holder for the screw in the end of a cement brass1 as shown at ,e1 ,fig4 #cf1 and while it is slowly revolving in the lathe touch the flat surface a with a sharpened pegwood wet with muriatic acid1 which dissolves the blue coating of oxide of iron4 7#b7 ,the surface of the screwhead is coated with a very thin coating of shellac dissolved in alcohol and thoroughly dried1 or a thin coating of collodion1 which is also dried4 ,the screw is placed in the ordinary polishing triangle and the flat face at a polished on a tin lap with diamantine and oil4 ,in polishing such surfaces the thinnest possible coating of diamantine and oil is smeared on the lap--in fact1 only enough to dim the surface of the tin4 ,it is1 of course1 understood that it is necessary to move only next to nothing of the material to restore the polish of the steel4 ,the polishing of the other steel parts is done precisely like any other steel work4 ,illustration3 ,fig4 #cf ,the regulator is of the ,howard pattern4 ,the hairspring stud is set in the cock like the ,elgin three-quarter-plate movement4 ,the richest finish for such a model is frosted plates and bridges4 ,the frosting should not be a fine mat1 like a watch movement1 but coarse-grained--in fact1 the grain of the frosting should be proportionate to the size of the movement4 ,the edges of the bridges and balance cock can be left smooth4 ,the best process for frosting is by acid4 ,details for doing the work will now be given4 ,illustration3 ,fig4 #cg ,illustration3 ,fig4 #ch ,to do this frosting by acid nicely1 make a sieve by tacking and gluing four pieces of thin wood together1 to make a rectangular box without a bottom4 ,four pieces of cigar-box wood1 #h long by #a wide1 answer first rate4 ,we show at ,a ,a ,a ,a1 ,fig4 #cg1 such a box as if seen from above2 with a side view1 as if seen in the direction of the arrow a1 at ,fig4 #ch4 ,a piece of ,india muslin is glued across the bottom1 as shown at the dotted lines b b4 ,by turning up the edges on the outside of the box1 the muslin bottom can be drawn as tight as a drum head4 ,,how ,,to ,,do ,,acid ,,frosting4 ,to do acid frosting1 we procure two ounces of gum mastic and place in the square sieve1 shown at ,fig4 #cg4 ,usually more than half the weight of gum mastic is in fine dust1 and if not1 that is1 if the gum is in the shape of small round pellets called mastic tears1 crush these into dust and place the dust in ,a4 ,let us next suppose we wish to frost the cock on the balance1 shown at ,fig4 #ci4 ,before we commence to frost1 the cock should be perfectly finished1 with all the holes made1 the regulator cap in position1 the screw hole made for the ,howard regulator and the index arc engraved with the letters ,s and ,f4 ,illustration3 ,fig4 #ci ,it is not necessary the brass should be polished1 but every file mark and scratch should be stoned out with a ,scotch stone2 in fact1 be in the condition known as in the gray4 ,it is not necessary to frost any portion of the cock ,c1 except the upper surface4 ,to protect the portion of the cock not to be frosted1 like the edges and the back1 we stop out by painting over with shellac dissolved in alcohol1 to which a little lampblack is added4 ,it is not necessary the coating of shellac should be very thick1 but it is important it should be well dried4 ,,how ,,to ,,prepare ,,the ,,surface4 ,for illustration1 let us suppose the back and edges of the cock at ,fig4 #ci are coated with shellac and it is laid flat on a piece of paper about a foot square to catch the excess of mastic4 ,holes should be made in this paper and also in the board on which the paper rests to receive the steady pins of the cock4 ,we hold the sieve containing the mastic over the cock and1 gently tapping the box ,a with a piece of wood like a medium-sized file handle1 shake down a little snowstorm of mastic dust over the face of the cock ,c4 ,exactly how much mastic dust is required to produce a nice frosting is only to be determined by practice4 ,the way to obtain the knack is to frost a few scraps to get your hand in4 ,nitric acid of full strength is used1 dipping the piece into a shallow dish for a few seconds4 ,a good-sized soup plate would answer very nicely for frosting the bottom plate1 which1 it will be remembered1 is #f in diameter4 ,,how ,,to ,,etch ,,the ,,surface4 ,after the mastic is sifted on1 the cock should be heated up to about #bej ,f41 to cause the particles of mastic to adhere to the surface4 ,the philosophy of the process is1 the nitric acid eats or dissolves the brass1 leaving a little brass island the size of the particle of mastic which was attached to the surface4 ,after heating to attach the particles of mastic1 the dipping in nitric acid is done as just described4 ,common commercial nitric acid is used1 it not being necessary to employ chemically pure acid4 ,for that matter1 for such purposes the commercial acid is the best4 ,after the acid has acted for fifteen or twenty seconds the brass is rinsed in pure water to remove the acid1 and dried by patting with an old soft towel1 and further dried by waving through the air4 ,a little turpentine on a rag will remove the mastic1 but turpentine will not touch the shellac coating4 ,the surface of the brass will be found irregularly acted upon1 producing a sort of mottled look4 ,to obtain a nice frosting the process of applying the mastic and etching must be repeated three or four times1 when a beautiful coarse-grain mat or frosting will be produced4 ,the shellac protection will not need much patching up during the three or four bitings of acid1 as the turpentine used to wash off the mastic does not much affect the shellac coating4 ,all the screw holes like s s and d1 also the steady pins on the back1 are protected by varnishing with shellac4 ,the edges of the cocks and bridges should be polished by rubbing lengthwise with willow charcoal or a bit of chamois skin saturated with oil and a little hard rouge scattered upon it4 ,the frosting needs thorough scratch-brushing4 ,illustration3 ,fig4 #dj ,at ,fig4 #dj we show the balance cock of our model with modified form of ,howard regulator4 ,the regulator bar ,a and spring ,b should be ground smooth on one side and deeply outlined to perfect form4 ,the regulator cap ,c is cut out to the correct size4 ,these parts are of decarbonized cast steel1 annealed until almost as soft as sheet brass4 ,it is not so much work to finish these parts as one might imagine4 ,let us take the regulator bar for an example and carry it through the process of making4 ,the strip of soft sheet steel on which the regulator bar is outlined is represented by the dotted outline b1 ,fig4 #da4 ,illustration3 ,fig4 #da ,to cut out sheet steel rapidly we take a piece of smooth clock mainspring about and #aj long and double it together1 softening the bending point with the lamp until the piece of mainspring assumes the form shown at ,fig4 #db1 where c represents the piece of spring and ,h ,h the bench-vise jaws4 ,the piece of soft steel is placed between the limbs of c c' of the old mainspring up to the line a1 ,fig4 #da1 and clamped in the vise jaws4 ,the superfluous steel is cut away with a sharp and rather thin cold chisel4 ,illustration3 ,fig4 #db ,the chisel is presented as shown at ,g1 ,fig4 #dc 7which is an end view of the vise jaws ,h ,h and regulator bar71 and held to cut obliquely and with a sort of shearing action1 as illustrated in ,fig4 #db1 where ,a'' represents the soft steel and ,g the cold chisel4 ,we might add that ,fig4 #db is a view of ,fig4 #dc seen in the direction of the arrow f4 ,it is well to cut in from the edge b on the line d1 ,fig4 #da1 with a saw1 in order to readily break out the surplus steel and not bend the regulator bar4 ,by setting the pieces of steel obliquely in the vise1 or so the line e comes even with the vise jaws1 we can cut to more nearly conform to the circular loop ,a'' of the regulator ,a4 ,illustration3 ,fig4 #dc ,the smooth steel surface of the bent mainspring c prevents the vise jaws from marking the soft steel of the regulator bar4 ,a person who has not tried this method of cutting out soft steel would not believe with what facility pieces can be shaped4 ,any workman who has a universal face plate to his lathe can turn out the center of the regulator bar to receive the disk ,c1 and also turn out the center of the regulator spring ,b4 ,what we have said about the regulator bar applies also to the regulator spring ,b4 ,this spring is attached to the cock ,d by means of two small screws at n4 ,the micrometer screw ,f is tapped through ,b'' as in the ordinary ,howard regulator1 and the screw should be about ,no4 #f of a ,swiss screw-plate4 ,the wire from which such screw is made should be #a_/aj in diameter4 ,the steel cap ,c is fitted like the finer forms of ,swiss watches4 ,the hairspring stud ,e is of steel1 shaped as shown1 and comes outlined with the other parts4 ,,to ,,temper ,,and ,,polish ,,steel4 ,the regulator bar should be hardened by being placed in a folded piece of sheet iron and heated red hot1 and thrown into cold water4 ,the regulator bar ,a ,a' is about #c long2 and for holding it for hardening1 cut a piece of thin sheet iron #b by #c and fold it through the middle lengthwise1 as indicated by the dotted line g1 ,fig4 #dd4 ,the sheet iron when folded will appear as shown at ,fig4 #de4 ,a piece of flat sheet metal of the same thickness as the regulator bar should be placed between the iron leaves ,i ,i1 and the leaves beaten down with a hammer1 that the iron may serve as a support for the regulator during heating and hardening4 ,a paste made of castile soap and water applied to the regulator bar in the iron envelope will protect it from oxidizing much during the heating4 ,the portions of the regulator bar marked h are intended to be rounded1 while the parts marked m are intended to be dead flat4 ,the rounding is carefully done1 first with a file and finished with emery paper4 ,the outer edge of the loop ,a'' is a little rounded1 also the inner edge next the cap ,c4 ,this will be understood by inspecting ,fig4 #df1 where we show a magnified vertical section of the regulator on line l1 ,fig4 #dj4 ,the curvature should embrace that portion of ,a'' between the radial lines o o'1 and should1 on the model1 not measure more than #a_/dj4 ,it will be seen that the curved surface of the regulator is sunk so it meets only the vertical edge of the loop ,a''4 ,for the average workman1 polishing the flat parts m is the most difficult to do1 and for this reason we will give entire details4 ,it is to be expected that the regulator bar will spring a little in hardening1 but if only a little we need pay no attention to it4 ,illustration3 ,fig4 #dd ,illustration3 ,fig4 #de ,illustration3 ,fig4 #df ,,how ,,flat ,,steel ,,polishing ,,is ,,done4 ,polishing a regulator bar for a large model1 such as we are building1 is only a heavy job of flat steel work1 a little larger but no more difficult than to polish a regulator for a sixteen-size watch4 ,we would ask permission here to say that really nice flat steel work is something which only a comparatively few workmen can do1 and1 still1 the process is quite simple and the accessories few and inexpensive4 ,first1 ground-glass slab #f by #f by 2 second1 flat zinc piece #c by #c by 2 third1 a piece of thick sheet brass #c by #b by #a_/h2 and a bottle of ,vienna lime4 ,the glass slab is only a piece of plate glass cut to the size given above4 ,the zinc slab is pure zinc planed dead flat1 and the glass ground to a dead surface with another piece of plate glass and some medium fine emery and water1 the whole surface being gone over with emery and water until completely depolished4 ,the regulator bar1 after careful filing and dressing up on the edges with an oilstone slip or a narrow emery buff1 is finished as previously described4 ,we would add to the details already given a few words on polishing the edges4 ,illustration3 ,fig4 #dg ,it is not necessary that the edges of steelwork1 like the regulator bar ,b1 ,fig4 #dg1 should be polished to a flat surface2 indeed1 they look better to be nicely rounded4 ,perhaps we can convey the idea better by referring to certain parts3 say1 spring to the regulator1 shown at ,d1 ,fig4 #dj1 and also the hairspring stud ,e4 ,the edges of these parts look best beveled in a rounded manner4 ,illustration3 ,fig4 #dh ,illustration3 ,fig4 #di ,it is a little difficult to convey in words what is meant by rounded manner4 ,to aid in understanding our meaning1 we refer to ,figs4 #dh and #di1 which are transverse sections of ,d1 ,fig4 #ej1 on the line f4 ,the edges of ,d1 in ,fig4 #dh1 are simply rounded4 ,there are no rules for such rounding--only good judgment and an eye for what looks well4 ,the edges of ,d as shown in ,fig4 #di are more on the beveled order4 ,in smoothing and polishing such edges1 an ordinary jeweler's steel burnish can be used4 ,illustration3 ,fig4 #ej ,,smoothing ,,and ,,polishing4 ,the idea in smoothing and polishing such edges is to get a fair gloss without much attention to perfect form1 inasmuch as it is the flat surface d on top which produces the impression of fine finish4 ,if this is flat and brilliant1 the rounded edges1 like g c can really have quite an inferior polish and still look well4 ,for producing the flat polish on the upper surface of the regulator bar ,b and spring ,d1 the flat surface d1 ,figs4 #dh1 #di1 #ea and #eb1 we must attach the regulator bar to a plate of heavy brass1 as shown at ,fig4 #dg1 where ,a represents the brass plate1 and ,b the regulator bar1 arranged for grinding and polishing flat4 ,illustration3 ,fig4 #ea ,illustration3 ,fig4 #eb ,for attaching the regulator bar ,b to the brass plate ,a1 a good plan is to cement it fast with lathe wax2 but a better plan is to make the plate ,a of heavy sheet iron1 something about #a_/h thick1 and secure the two together with three or four little catches of soft solder4 ,it is to be understood the edges of the regulator bar or the regulator spring are polished1 and all that remains to be done is to grind and polish the flat face4 ,two pieces a a of the same thickness as the regulator bar are placed as shown and attached to ,a to prevent rocking4 ,after ,b is securely attached to ,a1 the regulator should be coated with shellac dissolved in alcohol and well dried4 ,the object of this shellac coating is to keep the angles formed at the meeting of the face and side clean in the process of grinding with oilstone dust and oil4 ,the face of the regulator is now placed on the ground glass after smearing it with oil and oilstone dust4 ,it requires but a very slight coating to do the work4 ,the grinding is continued until the required surface is dead flat1 after which the work is washed with soap and water and the shellac dissolved away with alcohol4 ,the final polish is obtained on the zinc lap with ,vienna lime and alcohol4 ,where lathe cement is used for securing the regulator to the plate ,a1 the alcohol used with the ,vienna lime dissolves the cement and smears the steel4 ,diamantine and oil are the best materials for polishing when the regulator bar is cemented to the plate ,a4 ,,knowledge ,,that ,,is ,,most ,,essential4 ,the knowledge most important for a practical working watchmaker to possess is how to get the watches he has to repair in a shape to give satisfaction to his customers4 ,no one will dispute the truth of the above italicised statement4 ,it is only when we seek to have limits set1 and define what such knowledge should consist of1 that disagreement occurs4 ,one workman who has read ,grossmann or ,saunier1 or both1 would insist on all watches being made to a certain standard1 and1 according to their ideas1 all such lever watches as we are now dealing with should have club-tooth escapements with equidistant lockings1 ten degrees lever and pallet action1 with one and one-half degrees lock and one and one-half degrees drop4 ,another workman would insist on circular pallets1 his judgment being based chiefly on what he had read as stated by some author4 ,now the facts of the situation are that lever escapements vary as made by different manufacturers1 one concern using circular pallets and another using pallets with equidistant lockings4 ,,what ,a ,,workman ,,should ,,know ,,to ,,repair ,a ,,watch4 ,one escapement maker will divide the impulse equally between the tooth and pallet2 another will give an excess to the tooth4 ,now while these matters demand our attention in the highest degree in a theoretical sense1 still1 for such know hows as count in a workshop1 they are of but trivial importance in practice4 ,we propose to deal in detail with the theoretical consideration of thick and thin pallets1 and dwell exhaustively on circular pallets and those with equidistant locking faces2 but before we do so we wish to impress on our readers the importance of being able to free themselves of the idea that all lever escapements should conform to the rigid rules of any dictum4 ,,educate ,,the ,,eye ,,to ,,judge ,,of ,,angular ,,as ,,well ,,as ,,linear ,,extent4 ,for illustration3 ,it would be easy to design a lever escapement that would have locking faces which were based on the idea of employing neither system1 but a compromise between the two1 and still give a good1 sound action4 ,all workmen should learn to estimate accurately the extent of angular motion1 so as to be able to judge correctly of escapement actions4 ,it is not only necessary to know that a club-tooth escapement should have one and one-half degrees drop1 but the eye should be educated1 so to speak1 as to be able to judge of angular as well as linear extent4 ,illustration3 ,fig4 #ec ,most mechanics will estimate the size of any object measured in inches or parts of inches very closely2 but as regards angular extent1 except in a few instances1 we will find mechanics but indifferent judges4 ,to illustrate1 let us refer to ,fig4 #ec4 ,here we have the base line ,a ,a' and the perpendicular line a ,b4 ,now almost any person would be able to see if the angle ,a a ,b was equal to ,b a ,a'2 but not five in one hundred practical mechanics would be able to estimate with even tolerable accuracy the measure the angles made to the base by the lines b c d2 and still watchmakers are required in the daily practice of their craft to work to angular motions and movements almost as important as to results as diameters4 ,what is the use of our knowing that in theory an escape-wheel tooth should have one and one-half degrees drop1 when in reality it has three degrees8 ,it is only by educating the eye from carefully-made drawings2 or1 what is better1 constructing a model on a large scale1 that we can learn to judge of proper proportion and relation of parts1 especially as we have no convenient tool for measuring the angular motion of the fork or escape wheel4 ,nor is it important that we should have1 if the workman is thoroughly booked up in the principles involved4 ,as we explained early in this treatise1 there is no imperative necessity compelling us to have the pallets and fork move through ten degrees any more than nine and one-half degrees1 except that experience has proven that ten degrees is about the right thing for good results4 ,in this day1 when such a large percentage of lever escapements have exposed pallets1 we can very readily manipulate the pallets to match the fork and roller action4 ,for that matter1 in many instances1 with a faulty lever escapement1 the best way to go about putting it to rights is to first set the fork and roller so they act correctly1 and then bring the pallets to conform to the angular motion of the fork so adjusted4 ,,fork ,,and ,,roller ,,action4 ,although we could say a good deal more about pallets and pallet action1 still we think it advisable to drop for the present this particular part of the lever escapement and take up fork and roller action1 because1 as we have stated1 frequently the fork and roller are principally at fault4 ,in considering the action and relation of the parts of the fork and roller1 we will first define what is considered necessary to constitute a good1 sound construction where the fork vibrates through ten degrees of angular motion and is supposed to be engaged with the roller by means of the jewel pin for thirty degrees of angular motion of the balance4 ,there is no special reason why thirty degrees of roller action should be employed1 except that experience in practical construction has come to admit this as about the right arc for watches of ordinary good1 sound construction4 ,manufacturers have made departures from this standard1 but in almost every instance have finally come back to pretty near these proportions4 ,in deciding on the length of fork and size of roller1 we first decide on the distance apart at which to place the center of the balance and the center of the pallet staff4 ,these two points established1 we have the length of the fork and diameter of the roller defined at once4 ,,how ,,to ,,find ,,the ,,roller ,,diameter ,,from ,,the ,,length ,,of ,,the ,,fork4 ,to illustrate1 let us imagine the small circles ,a ,b1 ,fig4 #ed1 to represent the center of a pallet staff and balance staff in the order named4 ,we divide this space into four equal parts1 as shown1 and the third space will represent the point at which the pitch circles of the fork and roller will intersect1 as shown by the arc a and circle b4 ,now if the length of the radii of these circles stand to each other as three to one1 and the fork vibrates through an arc of ten degrees1 the jewel pin engaging such fork must remain in contact with said fork for thirty degrees of angular motion of the balance4 ,illustration3 ,fig4 #ed ,or1 in other words1 the ratio of angular motion of two mobiles acting on each must be in the same ratio as the length of their radii at the point of contact4 ,if we desire to give the jewel pin1 or1 in ordinary horological phraseology1 have a greater arc of roller action1 we would extend the length of fork 7say7 to the point c1 which would be one-fifth of the space between ,a and ,b1 and the ratio of fork to roller action would be four to one1 and ten degrees of fork action would give forty degrees of angular motion to the roller--and such escapements have been constructed4 ,,why ,,thirty ,,degrees ,,of ,,roller ,,action ,,is ,,about ,,right4 ,now we have two sound reasons why we should not extend the arc of vibration of the balance3 7a7 ,if there is an advantage to be derived from a detached escapement1 it would surely be policy to have the arc of contact1 that is1 for the jewel pin to engage the fork1 as short an arc as is compatible with a sound action4 7b7 ,it will be evident to any thinking mechanic that the acting force of a fork which would carry the jewel pin against the force exerted by the balance spring through an arc of fifteen degrees1 or half of an arc of thirty degrees1 would fail to do so through an arc of twenty degrees1 which is the condition imposed when we adopt forty degrees of roller action4 ,for the present we will accept thirty degrees of roller action as the standard4 ,before we proceed to delineate our fork and roller we will devote a brief consideration to the size and shape of a jewel pin to perform well4 ,in this matter there has been a broad field gone over1 both theoretically and in practical construction4 ,wide jewel pins1 round jewel pins1 oval jewel pins have been employed1 but practical construction has now pretty well settled on a round jewel pin with about two-fifths cut away4 ,and as regards size1 if we adopt the linear extent of four degrees of fork or twelve degrees of roller action1 we will find it about right4 ,,how ,,to ,,set ,a ,,fork ,,and ,,roller ,,action ,,right4 ,as previously stated1 frequently the true place to begin to set a lever escapement right is with the roller and fork4 ,but to do this properly we should know when such fork and roller action is right and safe in all respects4 ,we will see on analysis of the actions involved that there are three important actions in the fork and roller functions3 7a7 ,the fork imparting perfect impulse through the jewel pin to the balance4 7b7 ,proper unlocking action4 7c7 ,safety action4 ,the last function is in most instances sadly neglected and1 we regret to add1 by a large majority of even practical workmen it is very imperfectly understood4 ,in most ,american watches we have ample opportunity afforded to inspect the pallet action1 but the fork and roller action is placed so that rigid inspection is next to impossible4 ,the ,vacheron concern of ,swiss manufacturers were acute enough to see the importance of such inspection1 and proceeded to cut a circular opening in the lower plate1 which permitted1 on the removal of the dial1 a careful scrutiny of the action of the roller and fork4 ,while writing on this topic we would suggest the importance not only of knowing how to draw a correct fork and roller action1 but letting the workman who desires to be au fait in escapements delineate and study the action of a faulty fork and roller action--say one in which the fork1 although of the proper form1 is too short1 or what at first glance would appear to amount to the same thing1 a roller too small4 ,drawings help wonderfully in reasoning out not only correct actions1 but also faulty ones1 and our readers are earnestly advised to make such faulty drawings in several stages of action4 ,by this course they will educate the eye to discriminate not only as to correct actions1 but also to detect those which are imperfect1 and we believe most watchmakers will admit that in many instances it takes much longer to locate a fault than to remedy it after it has been found4 ,illustration3 ,fig4 #ee ,let us now proceed to delineate a fork and roller4 ,it is not imperative that we should draw the parts to any scale1 but it is a rule among ,english makers to let the distance between the center of the pallet staff and the center of the balance staff equal in length the chord of ninety-six degrees of the pitch circle of the escape wheel1 which1 in case we employ a pitch circle of #e radius1 would make the distance between ,a and ,b1 ,fig4 #ee1 approximately #g1 which is a very fair scale for study drawings4 ,,how ,,to ,,delineate ,a ,,fork ,,and ,,roller4 ,to arrive at the proper proportions of the several parts1 we divide the space ,a ,b into four equal parts1 as previously directed1 and draw the circle a and short arc b4 ,with our dividers set at #e1 from ,b as a center we sweep the short arc c4 ,from our arc of sixty degrees1 with a #e radius1 we take five degrees1 and from the intersection of the right line ,a ,b with the arc c we lay off on each side five degrees and establish the points d e2 and from ,b as a center1 through these points draw the lines ,b d' and ,b e'4 ,now the arc embraced between these lines represents the angular extent of our fork action4 ,from ,a as a center and with our dividers set at #e1 we sweep the arc f4 ,from the scale of degrees we just used we lay off fifteen degrees on each side of the line ,a ,b on the arc f1 and establish the points g h4 ,from ,a as a center1 through the points just established we draw the radial lines ,a g' and ,a h'4 ,the angular extent between these lines defines the limit of our roller action4 ,now if we lay off on the arc f six degrees each side of its intersection with the line ,a ,b1 we define the extent of the jewel pin2 that is1 on the arc f we establish the points l m at six degrees from the line ,a ,b1 and through the points l m draw1 from ,a as a center1 the radial lines ,a l' and ,a m'4 ,the extent of the space between the lines ,a l' and ,a m' on the circle a defines the size of our jewel pin4 ,,to ,,determine ,,the ,,size ,,of ,a ,,jewel ,,pin4 ,illustration3 ,fig4 #ef ,to make the situation better understood1 we make an enlarged drawing of the lines defining the jewel pin at ,fig4 #ef4 ,at the intersection of the line ,a ,b with the arc a we locate the point k1 and from it as a center we sweep the circle i so it passes through the intersection of the lines ,a l' and ,a m' with the arc a4 ,we divide the radius of the circle i on the line ,a ,b into five equal parts1 as shown by the vertical lines j4 ,of these five spaces we assume three as the extent of the jewel pin1 cutting away that portion to the right of the heavy vertical line at k4 ,illustration3 ,fig4 #eg ,we will now proceed to delineate a fork and roller as the parts are related on first contact of jewel pin with fork and initial with the commencing of the act of unlocking a pallet4 ,the position and relations are also the same as at the close of the act of impulse4 ,we commence the drawing at ,fig4 #eg1 as before1 by drawing the line ,a ,b and the arcs a and b to represent the pitch circles4 ,we also sweep the arc f to enable us to delineate the line ,a g'4 ,next in order we draw our jewel pin as shown at ,d4 ,in drawing the jewel pin we proceed as at ,fig4 #ef1 except we let the line ,a g'1 ,fig4 #eg1 assume the same relations to the jewel pin as ,a ,b in ,fig4 #ef2 that is1 we delineate the jewel pin as if extending on the arc a six degrees on each side of the line ,a g'1 ,fig4 #eg4 ,,the ,,theory ,,of ,,the ,,fork ,,action4 ,to aid us in reasoning1 we establish the point m1 as in ,fig4 #ee1 at m1 ,fig4 #eg1 and proceed to delineate another and imaginary jewel pin at ,d' 7as we show in dotted outline74 ,a brief reasoning will show that in allowing thirty degrees of contact of the fork with the jewel pin1 the center of the jewel pin will pass through an arc of thirty degrees1 as shown on the arcs a and f4 ,now here is an excellent opportunity to impress on our minds the true value of angular motion1 inasmuch as thirty degrees on the arc f is of more than twice the linear extent as on the arc a4 ,before we commence to draw the horn of the fork engaging the jewel pin ,d1 shown at full line in ,fig4 #eg1 we will come to perfectly understand what mechanical relations are required4 ,as previously stated1 we assume the jewel pin1 as shown at ,d1 ,fig4 #eg1 is in the act of encountering the inner face of the horn of the fork for the end or purpose of unlocking the engaged pallet4 ,now if the inner face of the horn of the fork was on a radial line1 such radial line would be p ,b1 ,fig4 #eg4 ,we repeat this line at p1 ,fig4 #ef1 where the parts are drawn on a larger scale4 ,to delineate a fork at the instant the last effort of impulse has been imparted to the jewel pin1 and said jewel pin is in the act of separating from the inner face of the prong of the fork--we would also call attention to the fact that relations of parts are precisely the same as if the jewel pin had just returned from an excursion of vibration and was in the act of encountering the inner face of the prong of the fork in the act of unlocking the escapement4 ,we mentioned this matter previously1 but venture on the repetition to make everything clear and easily understood4 ,we commence by drawing the line ,a ,b and dividing it in four equal parts1 as on previous occasions1 and from ,a and ,b as centers draw the pitch circles c d4 ,by methods previously described1 we draw the lines ,a a and ,a a'1 also ,b b and ,b b' to represent the angular motion of the two mobiles1 viz41 fork and roller action4 ,as already shown1 the roller occupies twelve degrees of angular extent4 ,to get at this conveniently1 we lay off on the arc by which we located the lines ,a a and ,a a' six degrees above the line ,a a and draw the line ,a h4 ,now the angular extent on the arc c between the lines ,a a and ,a h represents the radius of the circle defining the jewel pin4 ,from the intersection of the line ,a a with the arc c as a center1 and with the radius just named1 we sweep the small circle ,d1 ,fig4 #eh1 which represents our jewel pin2 we afterward cut away two-fifths and draw the full line ,d1 as shown4 ,we show at ,fig4 #ei a portion of ,fig4 #eh1 enlarged four times1 to show certain portions of our delineations more distinctly4 ,if we give the subject a moment's consideration we will see that the length of the prong ,e of the lever fork is limited to such a length as will allow the jewel pin ,d to pass it4 ,,how ,,to ,,delineate ,,the ,,prongs ,,of ,a ,,lever ,,fork4 ,illustration3 ,fig4 #eh ,illustration3 ,fig4 #ei ,to delineate this length1 from ,b as a center we sweep the short arc f so it passes through the outer angle n1 ,fig4 #ei1 of the jewel pin4 ,this arc1 carried across the jewel pin ,d1 limits the length of the opposite prong of the fork4 ,the outer face of the prong of the fork can be drawn as a line tangent to a circle drawn from ,a as a center through the angle n of the jewel pin4 ,such a circle or arc is shown at o1 ,figs4 #eh and #ei4 ,there has been a good deal said as to whether the outer edge of the prong of a fork should be straight or curved4 ,to the writer's mind1 a straight-faced prong1 like from s to m1 is what is required for a fork with a single roller1 while a fork with a curved prong will be best adapted for a double roller4 ,this subject will be taken up again when we consider double-roller action4 ,the extent or length of the outer face of the prong is also an open subject1 but as there is but one factor of the problem of lever escapement construction depending on it1 when we name this and see this requirement satisfied we have made an end of this question4 ,the function performed by the outer face of the prong of a fork is to prevent the engaged pallet from unlocking while the guard pin is opposite to the passing hollow4 ,the inner angle s of the horn of the fork must be so shaped and located that the jewel pin will just clear it as it passes out of the fork1 or when it passes into the fork in the act of unlocking the escapement4 ,in escapements with solid bankings a trifle is allowed1 that is1 the fork is made enough shorter than the absolute theoretical length to allow for safety in this respect4 ,,the ,,proper ,,length ,,of ,a ,,lever4 ,we will now see how long a lever must be to perform its functions perfectly4 ,now let us determine at what point on the inner face of the prong ,e' the jewel pin parts from the fork1 or engages on its return4 ,to do this we draw a line from the center r 7,fig4 #ei7 of the jewel pin1 so as to meet the line e at right angles1 and the point t so established on the line e is where contact will take place between the jewel pin and fork4 ,it will be seen this point 7t7 of contact is some distance back of the angle u which terminates the inner face of the prong ,e'2 consequently1 it will be seen the prongs ,e ,e' of the fork can with safety be shortened enough to afford a safe ingress or egress to the jewel pin to the slot in the fork4 ,as regards the length of the outer face of the prong of the fork1 a good rule is to make it one and a half times the diameter of the jewel pin4 ,the depth of the slot need be no more than to free the jewel in its passage across the ten degrees of fork action4 ,a convenient rule as to the depth of the slot in a fork is to draw the line k1 which1 it will be seen1 coincides with the circle which defines the jewel pin4 ,,how ,,to ,,delineate ,,the ,,safety ,,action4 ,illustration3 ,fig4 #fj ,we will next consider a safety action of the single roller type4 ,the active or necessary parts of such safety action consist of a roller or disk of metal1 usually steel1 shaped as shown in plan at ,a1 ,fig4 #fj4 ,in the edge of this disk is cut in front of the jewel pin a circular recess shown at a called the passing hollow4 ,the remaining part of the safety action is the guard pin shown at ,n ,figs4 #fa and #fb1 which is placed in the lever4 ,now it is to be understood that the sole function performed by the guard pin is to strike the edge of the roller ,a at any time when the fork starts to unlock the engaged pallet1 except when the jewel pin is in the slot of the fork4 ,to avoid extreme care in fitting up the passing hollow1 the horns of the fork are arranged to strike the jewel pin and prevent unlocking in case the passing hollow is made too wide4 ,to delineate the safety action we first draw the fork and jewel pin as previously directed and as shown at ,fig4 #fc4 ,the position of the guard pin should be as close to the bottom of the slot of the fork as possible and be safe4 ,as to the size of the guard pin1 it is usual to make it about one-third or half the diameter of the jewel pin4 ,the size and position of the guard pin decided on and the small circle ,n drawn1 to define the size and position of the roller we set our dividers so that a circle drawn from the center ,a will just touch the edge of the small circle ,n1 and thus define the outer boundary of our roller1 or roller table1 as it is frequently called4 ,illustration3 ,fig4 #fa ,illustration3 ,fig4 #fb ,for deciding the angular extent of the passing hollow we have no fixed rule1 but if we make it to occupy about half more angular extent on the circle y than will coincide with the angular extent of the jewel pin1 it will be perfectly safe and effectual4 ,we previously stated that the jewel pin should occupy about twelve degrees of angular extent on the circle c1 and if we make the passing hollow occupy eighteen degrees 7which is one and a half the angular extent of the jewel pin7 it will do nicely4 ,but if we should extend the width of the passing hollow to twenty-four degrees it would do no harm1 as the jewel pin would be well inside the horn of the fork before the guard pin could enter the passing hollow4 ,illustration3 ,fig4 #fc ,we show in ,fig4 #fa the fork as separated from the roller1 but in ,fig4 #fb1 which is a side view1 we show the fork and jewel pin as engaged4 ,when drawing a fork and roller action it is safe to show the guard pin as if in actual contact with the roller4 ,then in actual construction1 if the parts are made to measure and agree with the drawing in the gray1 that is1 before polishing1 the process of polishing will reduce the convex edge of the roller enough to free it4 ,it is evident if thought is given to the matter1 that if the guard pin is entirely free and does not touch the roller in any position1 a condition and relation of parts exist which is all we can desire4 ,we are aware that it is usual to give a considerable latitude in this respect even by makers1 and allow a good bit of side shake to the lever1 but our judgment would condemn the practice1 especially in high-grade watches4 ,,restrict ,,the ,,frictional ,,surfaces4 ,grossmann1 in his essay on the detached lever escapement1 adopts one and a half degrees lock4 ,now1 we think that one degree is ample2 and we are sure that every workman experienced in the construction of the finer watches will agree with us in the assertion that we should in all instances seek to reduce the extent of all frictional surfaces1 no matter how well jeweled4 ,acting under such advice1 if we can reduce the surface friction on the lock from one and a half degrees to one degree or1 better1 to three-fourths of a degree1 it is surely wise policy to do so4 ,and as regards the extent of angular motion of the lever1 if we reduce this to six degrees1 exclusive of the lock1 we would undoubtedly obtain better results in timing4 ,we shall next consider the effects of opening the bankings too wide1 and follow with various conditions which are sure to come in the experience of the practical watch repairer4 ,it is to be supposed in this problem that the fork and roller action is all right4 ,the reader may say to this1 why not close the banking8 ,in reply we would offer the supposition that some workman had bent the guard pin forward or set a pallet stone too far out4 ,we have now instructed our readers how to draw and construct a lever escapement complete1 of the correct proportions1 and will next take up defective construction and consider faults existing to a lesser or greater degree in almost every watch4 ,faults may also be those arising from repairs by some workman not fully posted in the correct form and relation of the several parts which go to make up a lever escapement4 ,it makes no difference to the artisan called upon to put a watch in perfect order as to whom he is to attribute the imperfection1 maker or former repairer2 all the workman having the job in hand has to do is to know positively that such a fault actually exists1 and that it devolves upon him to correct it properly4 ,,be ,,fearless ,,in ,,repairs1 ,,if ,,sure ,,you ,,are ,,right4 ,hence the importance of the workman being perfectly posted on such matters and1 knowing that he is right1 can go ahead and make the watch as it should be4 ,the writer had an experience of this kind years ago in ,chicago4 ,a ,jules ,jurgensen watch had been in the hands of several good workmen in that city1 but it would stop4 ,it was then brought to him with a statement of facts given above4 ,he knew there must be a fault somewhere and searched for it1 and found it in the exit pallet--a certain tooth of the escape wheel under the right conditions would sometimes not escape4 ,it might go through a great many thousand times and yet it might1 and did sometimes1 hold enough to stop the watch4 ,now probably most of my fellow-workmen in this instance would have been afraid to alter a ,jurgensen1 or even hint to the owner that such a thing could exist as a fault in construction in a watch of this justly-celebrated maker4 ,the writer removed the stone1 ground a little from the base of the offending pallet stone1 replaced it1 and all trouble ended--no stops from that on4 ,,study ,,of ,,an ,,escapement ,,error4 ,illustration3 ,fig4 #fd ,now let us suppose a case1 and imagine a full-plate ,american movement in which the ingress or entrance pallet extends out too far1 and in order to have it escape1 the banking on that side is opened too wide4 ,we show at ,fig4 #fd a drawing of the parts in their proper relations under the conditions named4 ,it will be seen by careful inspection that the jewel pin ,d will not enter the fork1 which is absolutely necessary4 ,this condition very frequently exists in watches where a new pallet stone has been put in by an inexperienced workman4 ,now this is one of the instances in which workmen complain of hearing a scraping sound when the watch is placed to the ear4 ,the remedy1 of course1 lies in warming up the pallet arms and pushing the stone in a trifle1 ,but how much8 say some of our readers4 ,there is no definite rule1 but we will tell such querists how they can test the matter4 ,remove the hairspring1 and after putting the train in place and securing the plates together1 give the winding arbor a turn or two to put power on the train2 close the bankings well in so the watch cannot escape on either pallet4 ,put the balance in place and screw down the cock4 ,carefully turn back the banking on one side so the jewel pin will just pass out of the slot in the fork4 ,repeat this process with the opposite banking2 the jewel pin will now pass out on each side4 ,be sure the guard pin does not interfere with the fork action in any way4 ,the fork is now in position to conform to the conditions required4 ,,how ,,to ,,adjust ,,the ,,pallets ,,to ,,match ,,the ,,fork4 ,if the escapement is all right1 the teeth will have one and a half degrees lock and escape correctly2 but in the instance we are considering1 the stone will not permit the teeth to pass1 and must be pushed in until they will4 ,it is not a very difficult matter after we have placed the parts together so we can see exactly how much the pallet protrudes beyond what is necessary1 to judge how far to push it back when we have it out and heated4 ,there is still an if in the problem we are considering1 which lies in the fact that the fork we are experimenting with may be too short for the jewel pin to engage it for ten degrees of angular motion4 ,this condition a man of large experience will be able to judge of very closely1 but the better plan for the workman is to make for himself a test gage for the angular movement of the fork4 ,of course it will be understood that with a fork which engages the roller for eight degrees of fork action1 such fork will not give good results with pallets ground for ten degrees of pallet action2 still1 in many instances1 a compromise can be effected which will give results that will satisfy the owner of a watch of moderate cost1 and from a financial point of view it stands the repairer in hand to do no more work than is absolutely necessary to keep him well pleased4 ,we have just made mention of a device for testing the angular motion of the lever4 ,before we take up this matter1 however1 we will devote a little time and attention to the subject of jewel pins and how to set them4 ,we have heretofore only considered jewel pins of one form1 that is1 a round jewel pin with two-fifths cut away4 ,we assumed this form from the fact that experience has demonstrated that it is the most practicable and efficient form so far devised or applied4 ,subsequently we shall take up the subject of jewel pins of different shapes4 ,,how ,,to ,,set ,a ,,jewel ,,pin ,,as ,,it ,,should ,,be4 ,many workmen have a mortal terror of setting a jewel pin and seem to fancy that they must have a specially-devised instrument for accomplishing this end4 ,most ,american watches have the hole for the jewel pin a world too wide for it1 and we have heard repeated complaints from this cause4 ,probably the original object of this accommodating sort of hole was to favor or obviate faults of pallet action4 ,let us suppose1 for illustration1 that we have a roller with the usual style of hole for a jewel pin which will take almost anything from the size of a ,no4 #ab sewing needle up to a round ,french clock pallet4 ,illustration3 ,fig4 #fe ,we are restricted as regards the proper size of jewel pin by the width of the slot in the fork4 ,selecting a jewel which just fits the fork1 we can set it as regards its relation to the staff so it will cause the pitch circle of the jewel pin to coincide with either of dotted circles a or a'1 ,fig4 #fe4 ,this will perhaps be better understood by referring to ,fig4 #ff1 which is a view of ,fig4 #fe seen in the direction of the arrow c4 ,here we see the roller jewel at ,d1 and if we bring it forward as far as the hole in the roller will permit1 it will occupy the position indicated at the dotted lines2 and if we set it in 7toward the staff7 as far as the hole will allow1 it will occupy the position indicated by the full outline4 ,illustration3 ,fig4 #ff ,now such other condition might very easily exist1 that bringing the jewel pin forward to the position indicated by the dotted lines at ,d1 ,fig4 #ff1 would remedy the defect described and illustrated at ,fig4 #fd without any other change being necessary4 ,we do not assert1 understand1 that a hole too large for the jewel pin is either necessary or desirable--what we wish to convey to the reader is the necessary knowledge so that he can profit by such a state if necessary4 ,a hole which just fits the jewel pin so the merest film of cement will hold it in place is the way it should be2 but we think it will be some time before such rollers are made1 inasmuch as economy appears to be a chief consideration4 ,,about ,,jewel-,,pin ,,setters4 ,to make a jewel-pin setter which will set a jewel pin straight is easy enough1 but to devise any such instrument which will set a jewel so as to perfectly accord with the fork action is probably not practicable4 ,what the workman needs is to know from examination when the jewel pin is in the proper position to perform its functions correctly1 and he can only arrive at this knowledge by careful study and thought on the matter4 ,if we make up our minds on examining a watch that a jewel pin is set too wide1 that is1 so it carries the fork over too far and increases the lock to an undue degree1 take out the balance1 remove the hairspring1 warm the roller with a small alcohol lamp1 and then with the tweezers move the jewel pin in toward the staff4 ,illustration3 ,fig4 #fg ,illustration3 ,fig4 #fh ,illustration3 ,fig4 #fi ,illustration3 ,fig4 #gj ,no attempt should be made to move a jewel pin unless the cement which holds the jewel is soft1 so that when the parts cool off the jewel is as rigid as ever4 ,a very little practice will enable any workman who has the necessary delicacy of touch requisite to ever become a good watchmaker1 to manipulate a jewel pin to his entire satisfaction with no other setter than a pair of tweezers and his eye1 with a proper knowledge of what he wants to accomplish4 ,to properly heat a roller for truing up the jewel pin1 leave it on the staff1 and after removing the hairspring hold the balance by the rim in a pair of tweezers1 flashing it back and forth through the flame of a rather small alcohol lamp until the rim of the balance is so hot it can just be held between the thumb and finger1 and while at this temperature the jewel pin can be pressed forward or backward1 as illustrated in ,fig4 #ff1 and then a touch or two will set the pin straight or parallel with the staff4 ,figs4 #fh and #fi are self-explanatory4 ,for cementing in a jewel pin a very convenient tool is shown at ,figs4 #fg and #gj4 ,it is made of a piece of copper wire about #a_/af in diameter1 bent to the form shown at ,fig4 #fg4 ,the ends b b of the copper wire are flattened a little and recessed on their inner faces1 as shown in ,fig4 #gj1 to grasp the edges of the roller ,a4 ,the heat of an alcohol lamp is applied to the loop of the wire at g until the small bit of shellac placed in the hole h melts4 ,the necessary small pieces of shellac are made by warming a bit of the gum to near the melting point and then drawing the softened gum into a filament the size of horse hair4 ,a bit of this broken off and placed in the hole h supplies the cement necessary to fasten the jewel pin4 ,figs4 #fh and #fi will1 no doubt1 assist in a clear understanding of the matter4 ,,how ,,to ,,make ,,an ,,angle-,,measuring ,,device4 ,we will now resume the consideration of the device for measuring the extent of the angular motion of the fork and pallets4 ,now1 before we take this matter up in detail we wish to say1 or rather repeat what we have said before1 which is to the effect that ten degrees of fork and lever action is not imperative1 as we can get just as sound an action and precisely as good results with nine and a half or even nine degrees as with ten1 if other acting parts are in unison with such an arc of angular motion4 ,the chief use of such an angle-measuring device is to aid in comparing the relative action of the several parts with a known standard4 ,illustration3 ,fig4 #ga ,for use with full-plate movements about the best plan is a spring clip or clasp to embrace the pallet staff below the pallets4 ,we show at ,fig4 #ga such a device4 ,to make it1 take a rather large size of sewing needle--the kind known as a milliner's needle is about the best4 ,the diameter of the needle should be about ,no4 #b1 so that at b we can drill and put in a small screw4 ,it is important that the whole affair should be very light4 ,the length of the needle should be about #a-e_/h1 in order that from the notch a to the end of the needle ,a' should be #a4 ,the needle should be annealed and flattened a little1 to give a pretty good grasp to the notch a on the pallet staff4 ,good judgment is important in making this clamp1 as it is nearly impossible to give exact measurements4 ,about #a_/dj in width when seen in the direction of the arrow j will be found to be about the right width4 ,the spring ,b can be made of a bit of mainspring1 annealed and filed down to agree in width with the part ,a4 ,in connection with the device shown at ,fig4 #ga we need a movement-holder to hold the movement as nearly a constant height as possible above the bench4 ,the idea is1 when the clamp ,a ,b is slipped on the pallet staff the index hand ,a' will extend outward1 as shown in ,fig4 #gb1 where the circle ,c is supposed to represent the top plate of a watch1 and ,a' the index hand4 ,,how ,,the ,,angular ,,motion ,,is ,,measured4 ,illustration3 ,fig4 #gb ,fig4 #gb is supposed to be seen from above4 ,it is evident that if we remove the balance from the movement shown at ,c1 leaving power on the train1 and with an oiling tool or hair broach move the lever back and forth1 the index hand ,a' will show in a magnified manner the angular motion of the lever4 ,now if we provide an index arc1 as shown at ,d1 we can measure the extent of such motion from bank to bank4 ,illustration3 ,fig4 #gc ,illustration3 ,fig4 #gd ,to get up such an index arc we first make a stand as shown at ,e ,f1 ,fig4 #gc4 ,the arc ,d is made to #a radius1 to agree with the index hand ,a'1 and is divided into twelve degree spaces1 six each side of a zero1 as shown at ,fig4 #gd1 which is an enlarged view of the index ,d in ,fig4 #gb4 ,the index arc is attached to a short bit of wire extending down into the support ,e1 and made adjustable as to height by the set-screw l4 ,let us suppose the index arc is adjusted to the index hand ,a'1 and we move the fork as suggested2 you see the hand would show exactly the arc passed through from bank to bank1 and by moving the stand ,e ,f we can arrange so the zero mark on the scale stands in the center of such arc4 ,this1 of course1 gives the angular motion from bank to bank4 ,as an experiment1 let us close the bankings so they arrest the fork at the instant the tooth drops from each pallet4 ,if this arc is ten degrees1 the pallet action is as it should be with the majority of modern watches4 ,,testing ,,lock ,,and ,,drop ,,with ,,our ,,new ,,device4 ,let us try another experiment3 ,we carefully move the fork away from the bank1 and if after the index hand has passed through one and a half degrees the fork flies over1 we know the lock is right4 ,we repeat the experiment from the opposite bank1 and in the same manner determine if the lock is right on the other pallets4 ,you see we have now the means of measuring not only the angular motion of the lever1 but the angular extent of the lock4 ,at first glance one would say that if now we bring the roller and fork action to coincide and act in unison with the pallet action1 we would be all right2 and so we would1 but frequently this bringing of the roller and fork to agree is not so easily accomplished4 ,it is chiefly toward this end the ,waltham fork is made adjustable1 so it can be moved to or from the roller1 and also that we can allow the pallet arms to be moved1 as we will try and explain4 ,as we set the bankings the pallets are all right2 but to test matters1 let us remove the hairspring and put the balance in place4 ,now1 if the jewel pin passes in and out of the fork1 it is to be supposed the fork and roller action is all right4 ,to test the fork and roller action we close the banking a little on one side4 ,if the fork and jewel pin are related to each other as they should be1 the jewel pin will not pass out of the fork1 nor will the engaged tooth drop from that pallet4 ,this condition should obtain on both pallets1 that is1 if the jewel pin will not pass out of the fork on a given bank the tooth engaged on its pallet should not drop4 ,we have now come to the most intricate and important problems which relate to the lever escapement4 ,however1 we promise our readers that if they will take the pains to follow closely our elucidations1 to make these puzzles plain4 ,but we warn them that they are no easy problems to solve1 but require good1 hard thinking4 ,the readiest way to master this matter is by means of such a model escapement as we have described4 ,with such a model1 and the pallets made to clamp with small set-screws1 and roller constructed so the jewel pin could be set to or from the staff1 this matter can be reduced to object lessons4 ,but study of the due relation of the parts in good drawings will also master the situation4 ,a ,,few ,,experiments ,,with ,,our ,,angle-,,measuring ,,device4 ,in using the little instrument for determining angular motion that we have just described1 care must be taken that the spring clamp which embraces the pallet staff does not slip4 ,in order to thoroughly understand the methods of using this angle-measuring device1 let us take a further lesson or two4 ,we considered measuring the amount of lock on each pallet1 and advised the removal of the balance1 because if we left the balance in we could not readily tell exactly when the tooth passed on to the impulse plane2 but if we touch the fork lightly with an oiling tool or a hair broach1 moving it 7the fork7 carefully away from the bank and watching the arc indicated by the hand ,a1 ,fig4 #gb1 we can determine with great exactness the angular extent of lock4 ,the diagram at ,fig4 #ge illustrates how this experiment is conducted4 ,we apply the hair broach to the end of the fork ,m1 as shown at ,l1 and gently move the fork in the direction of the arrow i1 watching the hand ,a and note the number of degrees1 or parts of degrees1 indicated by the hand as passed over before the tooth is unlocked and passes on to the impulse plane and the fork flies forward to the opposite bank4 ,now1 the quick movement of the pallet and fork may make the hand mark more or less of an arc on the index than one of ten degrees1 as the grasp may slip on the pallet staff2 but the arc indicated by the slow movement in unlocking will be correct4 ,illustration3 ,fig4 #ge ,by taking a piece of sharpened pegwood and placing the point in the slot of the fork1 we can test the fork to see if the drop takes place much before the lever rests against the opposite bank4 ,as we have previously stated1 the drop from the pallet should not take place until the lever almost rests on the banking pin4 ,what the reader should impress on his mind is that the lever should pass through about one and a half degrees arc to unlock1 and the remainder 7eight and a half degrees7 of the ten degrees are to be devoted to impulse4 ,but1 understand1 if the impulse angle is only seven and a half degrees1 and the jewel pin acts in accordance with the rules previously given1 do not alter the pallet until you know for certain you will gain by it4 ,an observant workman will1 after a little practice1 be able to determine this matter4 ,we will next take up the double roller and fork action1 and also consider in many ways the effect of less angles of action than ten degrees4 ,this matter now seems of more importance1 from the fact that we are desirous to impress on our readers that there is no valid reason for adopting ten degrees of fork and roller action with the table roller1 except that about this number of degrees of action are required to secure a reliable safety action4 ,with the double roller1 as low as six degrees fork and pallet action can be safely employed4 ,in fork and pallet actions below six degrees of angular motion1 side-shake in pivot holes becomes a dangerous factor1 as will be explained further on4 ,it is perfectly comprehending the action of the lever escapement and then being able to remedy defects1 that constitute the master workman4 ,,how ,,to ,,measure ,,the ,,angular ,,motion ,,of ,,an ,,escape ,,wheel4 ,illustration3 ,fig4 #gf ,we can also make use of our angle-testing device for measuring our escape-wheel action1 by letting the clasp embrace the arbor of the escape wheel1 instead of the pallet staff4 ,we set the index arc as in our former experiments1 except we place the movable index ,d1 ,fig4 #gf1 so that when the engaged tooth rests on the locking face of a pallet1 the index hand stands at the extreme end of our arc of twelve degrees4 ,we next1 with our pointed pegwood1 start to move the fork away from the bank1 as before1 we look sharp and see the index hand move backward a little1 indicating the draw on the locking face4 ,as soon as the pallet reaches the impulse face1 the hand ,a moves rapidly forward1 and if the escapement is of the club-tooth order and closely matched1 the hand ,a will pass over ten and a half degrees of angular motion before the drop takes place4 ,illustration3 ,fig4 #gg ,we will warn our readers in advance1 that if they make such a testing device they will be astonished at the inaccuracy which they will find in the escapements of so-called fine watches4 ,the lock1 in many instances1 instead of being one and a half degrees1 will oftener be found to be from two to four degrees1 and the impulse derived from the escape wheel1 as illustrated at ,fig4 #gf1 will often fall below eight degrees4 ,such watches will have a poor motion and tick loud enough to keep a policeman awake4 ,trials with actual watches1 with such a device as we have just described1 in conjunction with a careful study of the acting parts1 especially if aided by a large model1 such as we have described1 will soon bring the student to a degree of skill unknown to the old-style workman1 who1 if a poor escapement bothered him1 would bend back the banking pins or widen the slot in the fork4 ,we hold that educating our repair workmen up to a high knowledge of what is required to constitute a high-grade escapement1 will have a beneficial effect on manufacturers4 ,when we wish to apply our device to the measurement of the escapement of three-quarter-plate watches1 we will require another index hand1 with the grasping end bent downward1 as shown at ,fig4 #gg4 ,the idea with this form of index hand is1 the bent-down jaws ,b'1 ,fig4 #gg1 grasp the fork as close to the pallet staff as possible1 making an allowance for the acting center by so placing the index arc that the hand ,a will read correctly on the index ,d4 ,suppose1 for instance1 we place the jaws ,b' inside the pallet staff1 we then place the index arc so the hand reads to the arc indicated by the dotted arc m1 ,fig4 #gh1 and if set outside of the pallet staff1 read by the arc o4 ,illustration3 ,fig4 #gh ,,how ,a ,,balance ,,controls ,,the ,,timekeeping ,,of ,a ,,watch4 ,we think a majority of the fine lever escapements made abroad in this day have what is termed double-roller safety action4 ,the chief gains to be derived from this form of safety action are3 7#a7 ,reducing the arc of fork and roller action2 7#b7 reducing the friction of the guard point to a minimum4 ,while it is entirely practicable to use a table roller for holding the jewel pin with a double-roller action1 still a departure from that form is desirable1 both for looks and because as much of the aggregate weight of a balance should be kept as far from the axis of rotation as possible4 ,we might as well consider here as elsewhere1 the relation the balance bears to the train as a controlling power4 ,strictly speaking1 the balance and hairspring are the time measurers1 the train serving only two purposes3 7a7 ,to keep the balance in motion2 7b7 to classify and record the number of vibrations of the balance4 ,hence1 it is of paramount importance that the vibrations of the balance should be as untrammeled as possible2 this is why we urge reducing the arc of connection between the balance and fork to one as brief as is consistent with sound results4 ,with a double-roller safety action we can easily reduce the fork action to eight degrees and the roller action to twenty-four degrees4 ,inasmuch as satisfactory results in adjustment depend very much on the perfection of construction1 we shall now dwell to some extent on the necessity of the several parts being made on correct principles4 ,for instance1 by reducing the arc of engagement between the fork and roller1 we lessen the duration of any disturbing influence of escapement action4 ,to resume the explanation of why it is desirable to make the staff and all parts near the axis of the balance as light as possible1 we would say it is the moving portion of the balance which controls the regularity of the intervals of vibration4 ,to illustrate1 suppose we have a balance only #c_/h in diameter1 but of the same weight as one in an ordinary eighteen-size movement4 ,we can readily see that such a balance would require but a very light hairspring to cause it to give the usual #ah1jjj vibrations to the hour4 ,we can also understand1 after a little thought1 that such a balance would exert as much breaking force on its pivots as a balance of the same weight1 but in diameter acting against a very much stronger hairspring4 ,there is another factor in the balance problem which deserves our attention1 which factor is atmospheric resistance4 ,this increases rapidly in proportion to the velocity4 ,,how ,,barometric ,,pressure ,,affects ,a ,,watch4 ,the most careful investigators in horological mechanics have decided that a balance much above #ge_/ajj in diameter1 making #ah1jjj vibrations per hour1 is not desirable1 because of the varying atmospheric disturbances as indicated by barometric pressure4 ,a balance with all of its weight as near the periphery as is consistent with strength1 is what is to be desired for best results4 ,it is the moving matter composing the balance1 pitted against the elastic force of the hairspring1 which we have to depend upon for the regularity of the timekeeping of a watch1 and if we can take two grains' weight of matter from our roller table and place them in the rim or screws of the balance1 so as to act to better advantage against the hairspring1 we have disposed of these two grains so as to increase the efficiency of the controlling power and not increase the stress on the pivots4 ,illustration3 ,fig4 #gi ,we have deduced from the facts set forth1 two axioms3 7a7 ,that we should keep the weight of our balance as much in the periphery as possible1 consistent with due strength2 7b7 avoid excessive size from the disturbing effect of the air4 ,we show at ,a1 ,fig4 #gi1 the shape of the piece which carries the jewel pin4 ,as shown1 it consists of three parts3 7#a7 ,the socket ,a1 which receives the jewel pin a2 7#b7 the part ,a'' and hole b1 which goes on the balance staff2 7#c7 the counterpoise ,a'''1 which makes up for the weight of the jewel socket ,a1 neck ,a' and jewel pin4 ,this counterpoise also makes up for the passing hollow ,c in the guard roller ,b1 ,fig4 #hj4 ,as the piece ,a is always in the same relation to the roller ,b1 the poise of the balance must always remain the same1 no matter how the roller action is placed on the staff4 ,we once saw a double roller of nearly the shape shown at ,fig4 #gi1 which had a small gold screw placed at d1 evidently for the purpose of poising the double rollers2 but1 to our thinking1 it was a sort of hairsplitting hardly worth the extra trouble4 ,rollers for very fine watches should be poised on the staff before the balance is placed upon it4 ,illustration3 ,fig4 #hj ,we shall next give detailed instructions for drawing such a double roller as will be adapted for the large model previously described1 which1 as the reader will remember1 was for ten degrees of roller action4 ,we will also point out the necessary changes required to make it adapted for eight degrees of fork action4 ,we would beg to urge again the advantages to be derived from constructing such a model1 even for workmen who have had a long experience in escapements1 our word for it they will discover a great many new wrinkles they never dreamed of previously4 ,it is important that every practical watchmaker should thoroughly master the theory of the lever escapement and be able to comprehend and understand at sight the faults and errors in such escapements1 which1 in the every-day practice of his profession1 come to his notice4 ,in no place is such knowledge more required than in fork and roller action4 ,we are led to say the above chiefly for the benefit of a class of workmen who think there is a certain set of rules which1 if they could be obtained1 would enable them to set to rights any and all escapements4 ,it is well to understand that no such system exists and that1 practically1 we must make one error balance another2 and it is the know how to make such faults and errors counteract each other that enables one workman to earn more for himself or his employer in two days than another workman1 who can file and drill as well as he can1 will earn in a week4 ,,proportions ,,of ,,the ,,double-,,roller ,,escapement4 ,the proportion in size between the two rollers in a double-roller escapement is an open question1 or1 at least1 makers seldom agree on it4 ,grossmann shows1 in his work on the lever escapement1 two sizes3 7#a7 ,half the diameter of the acting roller2 7#b7 two-thirds of the size of the acting roller4 ,the chief fault urged against a smaller safety roller is1 that it necessitates longer horns to the fork to carry out the safety action4 ,longer horns mean more metal in the lever1 and it is the conceded policy of all recent makers to have the fork and pallets as light as possible4 ,another fault pertaining to long horns is1 when the horn does have to act as safety action1 a greater friction ensues4 ,in all soundly-constructed lever escapements the safety action is only called into use in exceptional cases1 and if the watch was lying still would theoretically never be required4 ,where fork and pallets are poised on their arbor1 pocket motion 7except torsional7 should but very little affect the fork and pallet action of a watch1 and torsional motion is something seldom brought to act on a watch to an extent to make it worthy of much consideration4 ,in the double-roller action which we shall consider1 we shall adopt three-fifths of the pitch diameter of the jewel-pin action as the proper size4 ,not but what the proportions given by ,grossmann will do good service2 but we adopt the proportions named because it enables us to use a light fork1 and still the friction of the guard point on the roller is but little more than where a guard roller of half the diameter of the acting roller is employed4 ,the fork action we shall consider at present is ten degrees1 but subsequently we shall consider a double-roller action in which the fork and pallet action is reduced to eight degrees4 ,we shall conceive the play between the guard point and the safety roller as one degree1 which will leave half a degree of lock remaining in action on the engaged pallet4 ,,theoretical ,,action ,,of ,,double ,,roller ,,considered4 ,in the drawing at ,fig4 #ha we show a diagram of the action of the double-roller escapement4 ,the small circle at ,a represents the center of the pallet staff1 and the one at ,b the center of the balance staff4 ,the radial lines ,a d and ,a d' represent the arc of angular motion of fork action4 ,the circle b b represents the pitch circle of the jewel pin1 and the circle at c c the periphery of the guard or safety roller4 ,the points established on the circle c c by intersection of the radial lines ,a d and ,a d' we will denominate the points h and h'4 ,it is at these points the end of the guard point of the fork will terminate4 ,in construction1 or in delineating for construction1 we show the guard enough short of the points h h' to allow the fork an angular motion of one degree1 from ,a as a center1 before said point would come in contact with the safety roller4 ,illustration3 ,fig4 #ha ,we draw through the points h h'1 from ,b as a center1 the radial lines ,b g and ,b g'4 ,we measure this angle by sweeping the short arc i with any of the radii we have used for arc measurement in former delineations1 and find it to be a trifle over sixty degrees4 ,to give ourselves a practical object lesson1 let us imagine that a real guard point rests on the circle c at h4 ,suppose we make a notch in the guard roller represented by the circle c1 to admit such imaginary guard point1 and then commence to revolve the circle c in the direction of the arrow j1 letting the guard point rest constantly in such notch4 ,when the notch n in c has been carried through thirty degrees of arc1 counting from ,b as a center1 the guard point1 as relates to ,a as a center1 would only have passed through an arc of five degrees4 ,we show such a guard point and notch at o n4 ,in fact1 if a jewel pin was set to engage the fork on the pitch circle b a1 the escapement would lock4 ,to obviate such lock we widen the notch n to the extent indicated by the dotted lines n'1 allowing the guard point to fall back1 so to speak1 into the notch n1 which really represents the passing hollow4 ,it is not to be understood that the extended notch at n is correctly drawn as regards position1 because when the guard point was on the line ,a f the point o would be in the center of the extended notch1 or passing hollow4 ,we shall next give the details of drawing the double roller1 but before doing so we deemed it important to explain the action of such guard points more fully than has been done heretofore4 ,,how ,,to ,,design ,a ,,double-,,roller ,,escapement4 ,we have already given very desirable forms for the parts of a double-roller escapement1 consequently we shall now deal chiefly with acting principles as regards the rollers1 but will give1 at ,fig4 #hb1 a very well proportioned and practical form of fork4 ,the pitch circle of the jewel pin is indicated by the dotted circle a1 and the jewel pin of the usual cylindrical form1 with two-fifths cut away4 ,the safety roller is three-fifths of the diameter of the pitch diameter of the jewel-pin action1 as indicated by the dotted circle a4 ,the safety roller is shown in full outline at ,b'1 and the passing hollow at ,e4 ,it will be seen that the arc of intersection embraced between the radial lines ,b c and ,b d is about sixty-one and a half degrees for the roller1 but the angular extent of the passing hollow is only a little over thirty-two degrees4 ,the passing hollow ,e is located and defined by drawing the radial line ,b c from the center ,b through the intersection of radial line ,a i with the dotted arc b1 which represents the pitch circle of the safety roller4 ,we will name this intersection the point l4 ,now the end of the guard point ,c terminates at the point l1 and the passing hollow ,e extends on b sixteen degrees on each side of the radial line ,b c4 ,illustration3 ,fig4 #hb ,the roller action is supposed to continue through thirty degrees of angular motion of the balance staff1 and is embraced on the circle a between the radial line ,b k and ,b o4 ,to delineate the inner face of the horn p of the fork ,f we draw the short arc g1 from ,a as a center1 and on said arc locate at two degrees from the center at ,b the point f4 ,we will designate the upper angle of the outer face of the jewel pin ,d as the point s and1 from ,a as a center1 sweep through this point s the short arc n n4 ,parallel with the line ,a i and at the distance of half the diameter of the jewel pin ,d1 we draw the short lines t t'1 which define the inner faces of the fork4 ,the intersection of the short line t with the arc n we will designate the point r4 ,with our dividers set to embrace the space between the point r and the point f1 we sweep the arc which defines the inner face of the prong of the fork4 ,the space we just made use of is practically the same as the radius of the circle a1 and consequently of the same curvature4 ,practically1 the length of the guard point ,c' is made as long as will1 with certainty1 clear the safety roller ,b in all positions4 ,while we set the point f at two degrees from the center ,b1 still1 in a well-constructed escapement1 one and a half degrees should be sufficient1 but the extra half degree will do no harm4 ,if the roller ,b' is accurately made and the guard point ,c' properly fitted1 the fork will not have half a degree of play4 ,the reader will remember that in the escapement model we described we cut down the drop to one degree1 being less by half a degree than advised by ,grossmann and ,saunier4 ,we also advised only one degree of lock4 ,in the perfected lever escapement1 which we shall describe and give working drawings for the construction of1 we shall describe a detached lever escapement with only eight degrees fork and pallet action1 with only three-fourths of a degree drop and three-fourths of a degree lock1 which we can assure our readers is easily within the limits of practical construction by modern machinery4 ,,how ,,the ,,guard ,,point ,,is ,,made4 ,illustration3 ,fig4 #hc ,the guard point ,c'1 as shown at ,fig4 #hb1 is of extremely simple construction4 ,back of the slot of the fork1 which is three-fifths of the diameter of the jewel pin in depth1 is made a square hole1 as shown at u1 and the back end of the guard point ,c is fitted to this hole so that it is rigid in position4 ,this manner of fastening the guard point is equally efficient as that of attaching it with a screw1 and much lighter--a matter of the highest importance in escapement construction1 as we have already urged4 ,about the best material for such guard points is either aluminum or phosphor bronze1 as such material is lighter than gold and very rigid and strong4 ,at ,fig4 #hc we show a side view of the essential parts depicted in ,fig4 #hb1 as if seen in the direction of the arrow v1 but we have added the piece which holds the jewel pin ,d4 ,a careful study of the cut shown at ,fig4 #hb will soon give the horological student an excellent idea of the double-roller action4 ,we will now take up and consider at length why ,saunier draws his entrance pallet with fifteen degrees draw and his exit pallet with only twelve degrees draw4 ,to make ourselves more conversant with ,saunier's method of delineating the lever escapement1 we reproduce the essential features of his drawing1 ,fig4 #a1 plate ,,viii1 of his ,modern ,horology1 in which he makes the draw of the locking face of the entrance pallet fifteen degrees and his exit pallet twelve degrees4 ,in the cut shown at ,fig4 #hd we use the same letters of reference as he employs4 ,we do not quote his description or directions for delineation because he refers to so much matter which he has previously given in the book just referred to4 ,besides we cannot entirely endorse his methods of delineations for many reasons1 one of which appears in the drawing at ,fig4 #hd4 ,illustration3 ,fig4 #hd ,,more ,,about ,,tangential ,,lockings4 ,most writers endorse the idea of tangential lockings1 and ,saunier speaks of the escapement as shown at ,fig4 #hd as having such tangential lockings1 which is not the case4 ,he defines the position of the pallet staff from the circle t1 which represents the extreme length of the teeth2 drawing the radial lines ,a ,d and ,a ,e to embrace an arc of sixty degrees1 and establishing the center of his pallet staff ,c at the intersection of the lines ,d ,c and ,e ,c1 which are drawn at right angles to the radial lines ,a ,d and ,a ,e1 and tangential to the circle t4 ,here is an error2 the lines defining the center of the pallet staff should have been drawn tangent to the circle s1 which represents the locking angle of the teeth4 ,this would have placed the center of the pallet staff farther in1 or closer to the wheel4 ,any person can see at a glance that the pallets as delineated are not tangential in a true sense4 ,illustration3 ,fig4 #he ,we have previously considered engaging friction and also repeatedly have spoken of tangential lockings1 but will repeat the idea of tangential lockings at ,fig4 #he4 ,a tangential locking is neutral1 or nearly so1 as regards engaging friction4 ,for illustration we refer to ,fig4 #he1 where ,a represents the center of an escape wheel4 ,we draw the radial lines ,a y and ,a z so that they embrace sixty degrees of the arcs s or t1 which correspond to similar circles in ,fig4 #hd1 and represent the extreme extent of the teeth and likewise the locking angle of such teeth4 ,in fact1 with the club-tooth escapement all that part of a tooth which extends beyond the line s should be considered the same as the addendum in gear wheels4 ,consequently1 a tangential locking made to coincide with the center of the impulse plane1 as recommended by ,saunier1 would require the pallet staff to be located at ,c' instead of ,c1 as he draws it4 ,if the angle k' of the tooth k in ,fig4 #hd was extended outward from the center ,a so it would engage or rest on the locking face of the entrance pallet as shown at ,fig4 #hd1 then the draw of the locking angle would not be quite fifteen degrees2 but it is evident no lock can take place until the angle a of the entrance pallet has passed inside the circle s4 ,we would say here that we have added the letters s and t to the original drawings1 as we have frequently to refer to these circles1 and without letters had no means of designation4 ,before the locking angle k' of the tooth can engage the pallet1 as shown in ,fig4 #hd1 the pallet must turn on the center ,c through an angular movement of at least four degrees4 ,we show the situation in the diagram at ,fig4 #hf1 using the same letters of reference for similar parts as in ,fig4 #hd4 ,illustration3 ,fig4 #hf ,as drawn in ,fig4 #hd the angle of draft ,g a ,i is equal to fifteen degrees1 but when brought in a position to act as shown at ,g a' ,i'1 ,fig4 #hf1 the draw is less even than twelve degrees4 ,the angle ,c a ,i remains constant1 as shown at ,c a' ,i'1 but the relation to the radial ,a ,g changes when the pallet moves through the angle w ,c w'1 as it must when locked4 ,a tangential locking in the true sense of the meaning of the phrase is a locking set so that a pallet with its face coinciding with a radial line like ,a ,g would be neutral1 and the thrust of the tooth would be tangent to the circle described by the locking angle of the tooth4 ,thus the center ,c1 ,fig4 #hf1 is placed on the line w' which is tangent to the circle s2 said line w' also being at right angles to the radial line ,a ,g4 ,the facts are1 the problems relating to the club-tooth lever escapement are very intricate and require very careful analysis1 and without such care the horological student can very readily be misled4 ,faulty drawings1 when studying such problems1 lead to no end of errors1 and practical men who make imperfect drawings lead to the popular phrase1 ,oh1 such a matter may be all right in theory1 but will not work in practice4 ,we should always bear in mind that theory1 if right1 must lead practice4 ,,correct ,,drawing ,,required4 ,if we delineate our entrance pallet to have a draw of twelve degrees when in actual contact with the tooth1 and then construct in exact conformity with such drawings1 we will find our lever to hug the banks in every instance4 ,it is inattention to such details which produces the errors of makers complained of by ,saunier in section #fif of his ,modern ,horology1 and which he attempts to correct by drawing the locking face at fifteen degrees draw4 ,we shall show that neither ,c nor ,c'1 ,fig4 #he1 is the theoretically correct position for the pallet center for a tangential locking4 ,we will now take up the consideration of a club-tooth lever escapement with circular pallets and tangential lockings2 but previous to making the drawings we must decide several points1 among which are the thickness of the pallet arms1 which establishes the angular motion of the escape wheel utilized by such pallet arms1 and also the angular motion imparted to the pallets by the impulse faces of the teeth4 ,we will1 for the present1 accept the thickness of the arms as being equivalent to five degrees of angular extent of the pitch circle of the escape wheel4 ,illustration3 ,fig4 #hg ,illustration3 ,fig4 #hh ,in making our drawings we commence1 as on former occasions1 by establishing the center of our escape wheel at ,a1 ,fig4 #hg1 and sweeping the arc a a to represent the pitch circle of such wheel4 ,through the center ,a we draw the vertical line ,a ,b1 which is supposed to also pass through the center of the pallet staff4 ,the intersection of the line ,a ,b with the arc a we term the point d1 and from this point we lay off on said arc a thirty degrees each side of said intersection1 and thus establish the points c b4 ,from ,a1 through the point c1 we draw the line ,a c c'4 ,on the arc a a and two and a half degrees to the left of the point c we establish the point f1 which space represents half of the thickness of the entrance pallet4 ,from ,a we draw through the point f the line ,a f f'4 ,from f1 and at right angles to said line ,a f1 we draw the line f e until it crosses the line ,a ,b4 ,now this line f e is tangent to the arc a from the point f1 and consequently a locking placed at the point f is a true tangential locking2 and if the resting or locking face of a pallet was made to coincide with the line ,a f'1 such locking face would be strictly dead or neutral4 ,the intersection of the line f e with the line ,a ,b we call the point ,c1 and locate at this point the center of our pallet staff4 ,according to the method of delineating the lever escapement by ,moritz ,grossmann the tangent line for locating the center of the pallet staff is drawn from the point c1 which would locate the center of the pallet staff at the point h on the line ,a ,b4 ,grossmann1 in delineating his locking face for the draw1 shows such face at an angle of twelve degrees to the radial line ,a f'1 when he should have drawn it twelve degrees to an imaginary line shown at f i1 which is at right angles to the line f h4 ,to the writer's mind this is not just as it should be1 and may lead to misunderstanding and bad construction4 ,we should always bear in mind the fact that the basis of a locking face is a neutral plane placed at right angles to the line of thrust1 and the draw comes from a locking face placed at an angle to such neutral plane4 ,a careful study of the diagram at ,fig4 #hh will give the reader correct ideas4 ,if a tooth locks at the point c1 the tangential thrust would be on the line c h'1 and a neutral locking face would be on the line ,a c4 ,,neutral ,,lockings4 ,to aid in explanation1 let us remove the pallet center to ,d2 then the line of thrust would be c ,d and a neutral locking face would coincide with the line m m1 which is at right angles to the line c ,d4 ,if we should now make a locking face with a draw and at an angle to the line c ,d1 say1 for illustration1 to correspond to the line c c' 7leaving the pallet center at ,d71 we would have a strong draw and also a cruel engaging friction4 ,if1 however1 we removed the engaging tooth1 which we have just conceived to be at c1 to the point k on the arc a' a'1 ,fig4 #hh1 the pallet center ,d would then represent a tangential locking1 and a neutral pallet face would coincide with the radial line ,a k'2 and a locking face with twelve degrees draw would coincide nearly with the line l4 ,let us next analyze what the effect would be if we changed the pallet center to h'1 ,fig4 #hh1 leaving the engaging tooth still at k4 ,in this instance the line l l would then coincide with a neutral locking face1 and to obtain the proper draw we should delineate the locking face to correspond to the line k n1 which we assume to be twelve degrees from k l4 ,it is not to be understood that we insist on precisely twelve degrees draw from a neutral plane for locking faces for lever pallets4 ,what we do insist upon1 however1 is a safe and sure draw for a lever pallet which will hold a fork to the banks and will also return it to such banks if by accident the fork is moved away4 ,we are well aware that it takes lots of patient1 hard study to master the complications of the club-tooth lever escapement1 but it is every watchmaker's duty to conquer the problem4 ,the definition of lock1 in the detached lever escapement1 is the stoppage or arrest of the escape wheel of a watch while the balance is left free or detached to perform the greater portion of its arc of vibration4 ,draw is a function of the locking parts to preserve the fork in the proper position to receive and act on the jewel pin of the balance4 ,it should be borne in mind in connection with lock and draw1 that the line of thrust as projected from the locked tooth of the escape wheel should be as near tangential as practicable4 ,this maxim applies particularly to the entrance pallet4 ,we would beg to add that practically it will make but little odds whether we plant the center of our pallet staff at ,c or h1 ,fig4 #hg1 provided we modify the locking and impulse angles of our pallets to conform to such pallet center4 ,but it will not do to arrange the parts for one center and then change to another4 ,,practical ,,hints ,,for ,,lever ,,escapements4 ,apparently there seems to be a belief with very many watchmakers that there is a set of shorthand rules for setting an escapement1 especially in ,american watches1 which1 if once acquired1 conquers all imperfections4 ,now we wish to disabuse the minds of our readers of any such notions4 ,although the lever escapement1 as adopted by our ,american factories1 is constructed on certain lines1 still these lines are subject to modifications1 such as may be demanded for certain defects of construction4 ,if we could duplicate every part of a watch movement perfectly1 then we could have certain rules to go by1 and fixed templets could be used for setting pallet stones and correcting other escapement faults4 ,let us now make an analysis of the action of a lever escapement4 ,we show at ,fig4 #hi an ordinary eighteen-size full-plate lever with fork and pallets4 ,the dotted lines a b are supposed to represent an angular movement of ten degrees4 ,now1 it is the function of the fork to carry the power of the train to the balance4 ,how well the fork performs its office we will consider subsequently2 for the present we are dealing with the power as conveyed to the fork by the pallets as shown at ,fig4 #hi4 ,illustration3 ,fig4 #hi ,the angular motion between the lines a c 7which represents the lock7 is not only absolutely lost--wasted--but during this movement the train has to retrograde2 that is1 the dynamic force stored in the momentum of the balance has to actually turn the train backward and against the force of the mainspring4 ,true1 it is only through a very short arc1 but the necessary force to effect this has to be discounted from the power stored in the balance from a former impulse4 ,for this reason we should make the angular motion of unlocking as brief as possible4 ,grossmann1 in his essay1 endorses one and a half degrees as the proper lock4 ,in the description which we employed in describing the large model for illustrating the action of the detached lever escapement1 we cut the lock to one degree1 and in the description of the up-to-date lever escapement1 which we shall hereafter give1 we shall cut the lock down to three-quarters of a degree1 a perfection easily to be attained by modern tools and appliances4 ,we shall also cut the drop down to three-quarters of a degree4 ,by these two economies we more than make up for the power lost in unlocking4 ,with highly polished ruby or sapphire pallets ten degrees of draw is ample4 ,but such draw must positively be ten degrees from a neutral locking face1 not an escapement drawn on paper and called ten degrees1 but when actually measured would only show eight and a half or nine degrees4 ,,the ,,perfected ,,lever ,,escapement4 ,with ten degrees angular motion of the lever and one and a half degrees lock1 we should have eight and a half degrees impulse4 ,the pith of the problem1 as regards pallet action1 for the practical workman can be embodied in the following question3 ,what proportion of the power derived from the twelve degrees of angular motion of the escape wheel is really conveyed to the fork8 ,the great leak of power as transmitted by the lever escapement to the balance is to be found in the pallet action1 and we shall devote special attention to finding and stopping such leaks4 ,,when ,,power ,,is ,,lost ,,in ,,the ,,lever ,,escapement4 ,if we use a ratchet-tooth escape wheel we must allow at least one and a half degrees drop to free the back of the tooth2 but with a club-tooth escape wheel made as can be constructed by proper skill and care1 the drop can be cut down to three-quarters of a degree1 or one-half of the loss with the ratchet tooth4 ,we do not wish our readers to imagine that such a condition exists in most of the so-called fine watches1 because if we take the trouble to measure the actual drop with one of the little instruments we have described1 it will be found that the drop is seldom less than two1 or even three degrees4 ,if we measure the angular movement of the fork while locked1 it will seldom be found less than two or three degrees4 ,now1 we can all understand that the friction of the locking surface has to be counted as well as the recoil of the draw4 ,locking friction is seldom looked after as carefully as the situation demands4 ,our factories make the impulse face of the pallets rounded1 but leave the locking face flat4 ,we are aware this condition is1 in a degree1 necessary from the use of exposed pallets4 ,in many of the ,english lever watches with ratchet teeth1 the locking faces are made cylindrical1 but with such watches the pallet stones1 as far as the writer has seen1 are set close2 that is1 with steel pallet arms extending above and below the stone4 ,there is another feature of the club-tooth lever escapement that next demands our attention which we have never seen discussed4 ,we refer to arranging and disposing of the impulse of the escape wheel to meet the resistance of the hairspring4 ,let us imagine the dotted line ,a d1 ,fig4 #hi1 to represent the center of action of the fork4 ,we can readily see that the fork in a state of rest would stand half way between the two banks from the action of the hairspring1 and in the pallet action the force of the escape wheel1 one tooth of which rests on the impulse face of a pallet1 would be exerted against the elastic force of the hairspring4 ,if the force of the mainspring1 as represented by the escape-wheel tooth1 is superior to the power of the hairspring1 the watch starts itself4 ,the phases of this important part of the detached lever escapement will be fully discussed4 ,,about ,,the ,,club-,,tooth ,,escapement4 ,we will now take up a study of the detached lever escapement as relates to pallet action1 with the point specially in view of constructing an escapement which cannot set in the pocket1 or1 in other words1 an escapement which will start after winding 7if run down7 without shaking or any force other than that supplied by the train as impelled by the mainspring4 ,in the drawing at ,fig4 #ij we propose to utilize eleven degrees of escape-wheel action1 against ten and a half1 as laid down by ,grossmann4 ,of this eleven degrees we propose to divide the impulse arc of the escape wheel in six and five degrees1 six to be derived from the impulse face of the club tooth and five from the impulse plane of the pallet4 ,the pallet action we divide into five and four1 with one degree of lock4 ,five degrees of pallet action is derived from the impulse face of the tooth and four from the impulse face of the pallet4 ,the reader will please bear in mind that we do not give these proportions as imperative1 because we propose to give the fullest evidence into the reader's hands and enable him to judge for himself1 as we do not believe in laying down imperious laws that the reader must accept on our assertion as being correct4 ,our idea is rather to furnish the proper facts and put him in a situation to know for himself4 ,the reader is urged to make the drawings for himself on a large scale1 say1 an escape wheel #aj pitch diameter4 ,such drawings will enable him to realize small errors which have been tolerated too much in drawings of this kind4 ,the drawings1 as they appear in the cut1 are one-fourth the size recommended1 and many of the lines fail to show points we desire to call attention to4 ,as for instance1 the pallet center at ,b is tangential to the pitch circle a from the point of tooth contact at f4 ,to establish this point we draw the radial lines ,a c and ,a d from the escape-wheel center ,a1 as shown1 by laying off thirty degrees on each side of the intersection of the vertical line i 7passing through the centers ,a ,b7 with the arc a1 and then laying off two and a half degrees on a and establishing the point f1 and through f from the center ,a draw the radial line ,a f'4 ,through the point f we draw the tangent line b' b b''1 and at the intersection of the line b with i we establish the center of our pallet staff at ,b4 ,at two and a half degrees from the point c we lay off two and a half degrees to the right of said point and establish the point n1 and draw the radial line ,a n n'1 which establishes the extent of the arc of angular motion of the escape wheel utilized by the pallet arm4 ,illustration3 ,fig4 #ij ,we have now come to the point where we must exercise our reasoning powers a little4 ,we know the locking angle of the escape-wheel tooth passes on the arc a1 and if we utilize the impulse face of the tooth for five degrees of pallet or lever motion we must shape it to this end4 ,we draw the short arc k through the point n1 knowing that the inner angle of the pallet stone must rest on this arc wherever it is situated4 ,as1 for instance1 when the locking face of the pallet is engaged1 the inner angle of the pallet stone must rest somewhere on this arc 7k7 inside of a1 and the extreme outer angle of the impulse face of the tooth must part with the pallet on this arc k4 ,,how ,,to ,,locate ,,the ,,pallet ,,action4 ,with the parts related to each other as shown in the cut1 to establish where the inner angle of the pallet stone is located in the drawing1 we measure down on the arc k five degrees from its intersection with a1 and establish the point s4 ,the line ,b b1 ,fig4 #ij1 as the reader will see1 does not coincide with the intersection of the arcs a and k1 and to conveniently get at the proper location for the inner angle of our pallet stone1 we draw the line ,b b'1 which passes through the point n located at the intersection of the arc a with the arc k4 ,from ,b as a center we sweep the short arc j with any convenient radius of which we have a sixty-degree scale1 and from the intersection of ,b b' with j we lay off five degrees and draw the line ,b s'1 which establishes the point s on the arc k4 ,as stated above1 we allow one degree for lock1 which we establish on the arc o by laying off one degree on the arc j below its intersection with the line ,b b4 ,we do not show this line in the drawing1 from the fact that it comes so near to ,b b' that it would confuse the reader4 ,above the arc a on the arc k at five degrees from the point n we establish the point l1 by laying off five degrees on the arc j above the intersection of the line ,b b with j4 ,the point l1 ,fig4 #ij1 establishes where the outer angle of the tooth will pass the arc k to give five degrees of angular motion to the lever4 ,from ,a as a center we sweep the arc m1 passing through the point l4 ,the intersection of the arc m with the line ,a h we call the point r1 and by drawing the right line r f we delineate the impulse face of the tooth4 ,on the arc o and one degree below its intersection with the line ,b b we establish the point t1 and by drawing a right line from t to s we delineate the impulse face of our entrance pallet4 ,,action ,,drawings4 ,one great fault with most of our text books on horology lies in the fact that when dealing with the detached lever escapement the drawings show only the position of the pallets when locked1 and many of the conditions assumed are arrived at by mental processes1 without making the proper drawings to show the actual relation of the parts at the time such conditions exist4 ,for illustration1 it is often urged that there is a time in the action of the club-tooth lever escapement action when the incline on the tooth and the incline on the pallet present parallel surfaces1 and consequently endure excessive friction1 especially if the oil is a little thickened4 ,we propose to make drawings to show the exact position and relation of the entrance pallet and tooth at three intervals viz3 7#a7 ,locked2 7#b7 the position of the parts when the lever has performed one-half of its angular motion2 7#c7 when half of the impulse face of the tooth has passed the pallet4 ,the position of the entrance pallet when locked is sufficiently well shown in ,fig4 #ij to give a correct idea of the relations with the entrance pallet2 and to conform to statement 7#b71 as above4 ,we will now delineate the entrance pallet1 not in actual contact1 however1 with the pallet1 because if we did so the lines we employed would become confused4 ,the methods we use are such that we can delineate with absolute correctness either a pallet or tooth at any point in its angular motion4 ,we have previously given instructions for drawing the pallet locked2 and to delineate the pallet after five degrees of angular motion1 we have only to conceive that we substitute the line s' for the line b'4 ,all angular motions and measurements for pallet actions are from the center of the pallet staff at ,b4 ,as we desire to now delineate the entrance pallet1 it has passed through five degrees of angular motion and the inner angle s now lies on the pitch circle of the escape wheel1 the angular space between the lines b' s' being five degrees1 the line b'' reducing the impulse face to four degrees4 ,,drawing ,,an ,,escapement ,,to ,,show ,,angular ,,motion4 ,to delineate our locking face we draw a line at right angles to the line ,b b'' from the point t1 said point being located at the intersection of the arc o with the line ,b b''4 ,to draw a line perpendicular to ,b b'' from the point t1 we take a convenient space in our dividers and establish on the line ,b b'' the points x x' at equal distances from the point t4 ,we open the dividers a little 7no special distance7 and sweep the short arcs x'' x'''1 as shown at ,fig4 #ia4 ,through the intersection of the short arcs x'' x''' and to the point t we draw the line t y4 ,the reader will see from our former explanations that the line t y represents the neutral plane of the locking face1 and that to have the proper draw we must delineate the locking face of our pallet at twelve degrees4 ,to do this we draw the line t x' at twelve degrees to the line t y1 and proceed to outline our pallet faces as shown4 ,we can now understand1 after a moment's thought1 that we can delineate the impulse face of a tooth at any point or place we choose by laying off six degrees on the arc m1 and drawing radial lines from ,a to embrace such arc4 ,to illustrate1 suppose we draw the radial lines w' w'' to embrace six degrees on the arc a4 ,we make these lines contiguous to the entrance pallet ,c for convenience only4 ,to delineate the impulse face of the tooth1 we draw a line extending from the intersection of the radial line ,a' w' with the arc m to the intersection of the arc a with the radial line ,a w''4 ,illustration3 ,fig4 #ia ,we next desire to know where contact will take place between the wheel-tooth ,d and pallet ,c4 ,to determine this we sweep1 with our dividers set so one leg rests at the escape-wheel center ,a and the other at the outer angle t of the entrance pallet1 the short arc t' w4 ,where this arc intersects the line w 7which represents the impulse face of the tooth7 is where the outer angle t of the entrance pallet ,c will touch the impulse face of the tooth4 ,to prove this we draw the radial line ,a v through the point where the short arc t t' passes through the impulse face w of the tooth ,d4 ,then we continue the line w to n1 to represent the impulse face of the tooth1 and then measure the angle ,a w n between the lines w n and v ,a1 and find it to be approximately sixty-four degrees4 ,we then1 by a similar process1 measure the angle ,a t s' and find it to be approximately sixty-six degrees4 ,when contact ensues between the tooth ,d and pallet ,c the tooth ,d will attack the pallet at the point where the radial line ,a v crosses the tooth face4 ,we have now explained how we can delineate a tooth or pallet at any point of its angular motion1 and will next explain how to apply this knowledge in actual practice4 ,,practical ,,problems ,,in ,,the ,,lever ,,escapement4 ,to delineate our entrance pallet after one-half of the engaged tooth has passed the inner angle of the entrance pallet1 we proceed1 as in former illustrations1 to establish the escape-wheel center at ,a1 and from it sweep the arc b1 to represent the pitch circle4 ,we next sweep the short arcs p s1 to represent the arcs through which the inner and outer angles of the entrance pallet move4 ,now1 to comply with our statement as above1 we must draw the tooth as if half of it has passed the arc s4 ,to do this we draw from ,a as a center the radial line ,a j1 passing through the point s1 said point s being located at the intersection of the arcs s and b4 ,the tooth ,d is to be shown as if one half of it has passed the point s2 and1 consequently1 if we lay off three degrees on each side of the point s and establish the points d m1 we have located on the arc b the angular extent of the tooth to be drawn4 ,to aid in our delineations we draw from the center ,a the radial lines ,a d' and ,a m'1 passing through the points d m4 ,the arc a is next drawn as in former instructions and establishes the length of the addendum of the escape-wheel teeth1 the outer angle of our escape-wheel tooth being located at the intersection of the arc a with the radial line ,a d'4 ,as shown in ,fig4 #ib1 the impulse planes of the tooth ,d and pallet ,c are in contact and1 consequently1 in parallel planes1 as mentioned on page #ia4 ,it is not an easy matter to determine at exactly what degree of angular motion of the escape wheel such condition takes place2 because to determine such relation mathematically requires a knowledge of higher mathematics1 which would require more study than most practical men would care to bestow1 especially as they would have but very little use for such knowledge except for this problem and a few others in dealing with epicycloidal curves for the teeth of wheels4 ,for all practical purposes it will make no difference whether such parallelism takes place after eight or nine degrees of angular motion of the escape wheel subsequent to the locking action4 ,the great point1 as far as practical results go1 is to determine if it takes place at or near the time the escape wheel meets the greatest resistance from the hairspring4 ,we find by analysis of our drawing that parallelism takes place about the time when the tooth has three degrees of angular motion to make1 and the pallet lacks about two degrees of angular movement for the tooth to escape4 ,it is thus evident that the relations1 as shown in our drawing1 are in favor of the train or mainspring power over hairspring resistance as three is to two1 while the average is only as eleven to ten2 that is1 the escape wheel in its entire effort passes through eleven degrees of angular motion1 while the pallets and fork move through ten degrees4 ,the student will thus see we have arranged to give the train-power an advantage where it is most needed to overcome the opposing influence of the hairspring4 ,illustration3 ,fig4 #ib ,as regards the exalted adhesion of the parallel surfaces1 we fancy there is more harm feared than really exists1 because1 to take the worst view of the situation1 such parallelism only exists for the briefest duration1 in a practical sense1 because theoretically these surfaces never slide on each other as parallel planes4 ,mathematically considered1 the theoretical plane represented by the impulse face of the tooth approaches parallelism with the plane represented by the impulse face of the pallet1 arrives at parallelism and instantly passes away from such parallelism4 ,,to ,,draw ,a ,,pallet ,,in ,,any ,,position4 ,as delineated in ,fig4 #ib1 the impulse planes of the tooth and pallet are in contact2 but we have it in our power to delineate the pallet at any point we choose between the arcs p s4 ,to describe and illustrate the above remark1 we say the lines ,b e and ,b f embrace five degrees of angular motion of the pallet4 ,now1 the impulse plane of the pallet occupies four of these five degrees4 ,we do not draw a radial line from ,b inside of the line ,b e to show where the outer angle of the impulse plane commences1 but the reader will see that the impulse plane is drawn one degree on the arc p below the line ,b e4 ,we continue the line h h to represent the impulse face of the tooth1 and measure the angle ,b n h and find it to be twenty-seven degrees4 ,now suppose we wish to delineate the entrance pallet as if not in contact with the escape-wheel tooth--for illustration1 say1 we wish the inner angle of the pallet to be at the point v on the arc s4 ,we draw the radial line ,b l through v2 and if we draw another line so it passes through the point v at an angle of twenty-seven degrees to ,b l1 and continue said line so it crosses the arc p1 we delineate the impulse face of our pallet4 ,we measure the angle i n ,b1 ,fig4 #ib1 and find it to be seventy-four degrees2 we draw the line v t to the same angle with v ,b1 and we define the inner face of our pallet in the new position4 ,we draw a line parallel with v t from the intersection of the line v y with the arc p1 and we define our locking face4 ,if now we revolve the lines we have just drawn on the center ,b until the line l ,b coincides with the line f ,b1 we will find the line y y to coincide with h h1 and the line v v' with n i4 ,,higher ,,mathematics ,,applied ,,to ,,the ,,lever ,,escapement4 ,we have now instructed the reader how to delineate either tooth or pallet in any conceivable position in which they can be related to each other4 ,probably nothing has afforded more efficient aid to practical mechanics than has been afforded by the graphic solution of abstruce mathematical problems2 and if we add to this the means of correction by mathematical calculations which do not involve the highest mathematical acquirements1 we have approached pretty close to the actual requirements of the practical watchmaker4 ,illustration3 ,fig4 #ic ,to better explain what we mean1 we refer the reader to ,fig4 #ic1 where we show preliminary drawings for delineating a lever escapement4 ,we wish to ascertain by the graphic method the distance between the centers of action of the escape wheel and the pallet staff4 ,we make our drawing very carefully to a given scale1 as1 for instance1 the radius of the arc a is #e4 ,after the drawing is in the condition shown at ,fig4 #ic we measure the distance on the line b between the points 7centers7 ,a ,b1 and we thus by graphic means obtain a measure of the distance between ,a ,b4 ,now1 by the use of trigonometry1 we have the length of the line ,a f 7radius of the arc a7 and all the angles given1 to find the length of f ,b1 or ,a ,b1 or both f ,b and ,a ,b4 ,by adopting this policy we can verify the measurements taken from our drawings4 ,suppose we find by the graphic method that the distance between the points ,a ,b is #e4gh1 and by trigonometrical computation find the distance to be #e4ggfb4 ,we know from this that there is 4#jjch to be accounted for somewhere2 but for all practical purposes either measurement should be satisfactory1 because our drawing is about thirty-eight times the actual size of the escape wheel of an eighteen-size movement4 ,,how ,,the ,,basis ,,for ,,close ,,measurements ,,is ,,obtained4 ,let us further suppose the diameter of our actual escape wheel to be 4#bf1 and we were constructing a watch after the lines of our drawing4 ,by lines1 in this case1 we mean in the same general form and ratio of parts2 as1 for illustration1 if the distance from the intersection of the arc a with the line b to the point ,b was one-fifteenth of the diameter of the escape wheel1 this ratio would hold good in the actual watch1 that is1 it would be the one-fifteenth part of 4#bf4 ,again1 suppose the diameter of the escape wheel in the large drawing is #aj and the distance between the centers ,a ,b is #e4gh2 to obtain the actual distance for the watch with the escape wheel 4#bf diameter1 we make a statement in proportion1 thus3 #aj 3 #e4gh 33 4#bf to the actual distance between the pivot holes of the watch4 ,by computation we find the distance to be 4#ae4 ,these proportions will hold good in every part of actual construction4 ,all parts--thickness of the pallet stones1 length of pallet arms1 etc4--bear the same ratio of proportion4 ,we measure the thickness of the entrance pallet stone on the large drawing and find it to be 4#dg2 we make a similar statement to the one above1 thus3 #aj 3 4#dg 33 4#bf to the actual thickness of the real pallet stone4 ,by computation we find it to be 4#jabb4 ,all angular relations are alike1 whether in the large drawing or the small pallets to match the actual escape wheel 4#bf in diameter4 ,thus1 in the pallet ,d1 ,fig4 #ic1 the impulse face1 as reckoned from ,b as a center1 would occupy four degrees4 ,,make ,a ,,large ,,escapement ,,model4 ,reason would suggest the idea of having the theoretical keep pace and touch with the practical4 ,it has been a grave fault with many writers on horological matters that they did not make and measure the abstractions which they delineated on paper4 ,we do not mean by this to endorse the cavil we so often hear--,oh1 that is all right in theory1 but it will not work in practice4 ,if theory is right1 practice must conform to it4 ,the trouble with many theories is1 they do not contain all the elements or factors of the problem4 ,illustration3 ,fig4 #id ,near the beginning of this treatise we advised our readers to make a large model1 and described in detail the complete parts for such a model4 ,what we propose now is to make adjustable the pallets and fork to such a model1 in order that we can set them both right and wrong1 and thus practically demonstrate a perfect action and also the various faults to which the lever escapement is subject4 ,the pallet arms are shaped as shown at ,a1 ,fig4 #id4 ,the pallets ,b ,b' can be made of steel or stone1 and for all practical purposes those made of steel answer quite as well1 and have the advantage of being cheaper4 ,a plate of sheet brass should be obtained1 shaped as shown at ,c1 ,fig4 #ie4 ,this plate is of thin brass1 about ,no4 #ah1 and on it are outlined the pallet arms shown at ,fig4 #id4 ,illustration3 ,fig4 #ie ,illustration3 ,fig4 #if ,illustration3 ,fig4 #ig ,illustration3 ,fig4 #ih ,to make the pallets adjustable1 they are set in thick disks of sheet brass1 as shown at ,d1 ,figs4 #ie1 #if and #ig4 ,at the center of the plate ,c is placed a brass disk ,e1 ,fig4 #ih1 which serves to support the lever shown at ,fig4 #ii4 ,this disk ,e is permanently attached to the plate ,c4 ,the lever shown at ,fig4 #ii is attached to the disk ,e by two screws1 which pass through the holes h h4 ,if we now place the brass pieces ,d ,d' on the plate ,c in such a way that the pallets set in them correspond exactly to the pallets as outlined on the plate ,c1 we will find the action of the pallets to be precisely the same as if the pallet arms ,a ,a'1 ,fig4 #id1 were employed4 ,illustration3 ,fig4 #ii ,to enable us to practically experiment with and to fully demonstrate all the problems of lock1 draw1 drop1 etc41 we make quite a large hole in ,c where the screws b come4 ,to explain1 if the screws b b were tapped directly into ,c1 as they are shown at ,fig4 #ie1 we could only turn the disk ,d on the screw b2 but if we enlarge the screw hole in ,c to three or four times the natural diameter1 and then place the nut e under ,c to receive the screw b1 we can then set the disks ,d ,d' and pallets ,b ,b' in almost any relation we choose to the escape wheel1 and clamp the pallets fast and try the action4 ,we show at ,fig4 #ig a view of the pallet ,b'1 disk ,d' and plate ,c 7seen in the direction of the arrow c7 as shown in ,fig4 #ie4 ,,practical ,,lessons ,,with ,,fork ,,and ,,pallet ,,action4 ,it will be noticed in ,fig4 #ii that the hole g for the pallet staff in the lever is oblong2 this is to allow the lever to be shifted back and forth as relates to roller and fork action4 ,we will not bother about this now1 and only call attention to the capabilities of such adjustments when required4 ,at the outset we will conceive the fork ,f attached to the piece ,e by two screws passing through the holes h h1 ,fig4 #ii4 ,such an arrangement will insure the fork and roller action keeping right if they are put right at first4 ,fig4 #ajj will do much to aid in conveying a clear impression to the reader4 ,the idea of the adjustable features of our escapement model is to show the effects of setting the pallets wrong or having them of bad form4 ,for illustration1 we make use of a pallet with the angle too acute1 as shown at ,b'''1 ,fig4 #aja4 ,the problem in hand is to find out by mechanical experiments and tests the consequences of such a change4 ,it is evident that the angular motion of the pallet staff will be increased1 and that we shall have to open one of the banking pins to allow the engaging tooth to escape4 ,to trace out all the consequences of this one little change would require a considerable amount of study1 and many drawings would have to be made to illustrate the effects which would naturally follow only one such slight change4 ,illustration3 ,fig4 #ajj ,illustration3 ,fig4 #aja ,suppose1 for illustration1 we should make such a change in the pallet stone of the entrance pallet2 we have increased the angle between the lines k l by 7say7 one and a half degrees2 by so doing we would increase the lock on the exit pallet to three degrees1 provided we were working on a basis of one and a half degrees lock2 and if we pushed back the exit pallet so as to have the proper degree of lock 7one and a half7 on it1 the tooth which would next engage the entrance pallet would not lock at all1 but would strike the pallet on the impulse instead of on the locking face4 ,again1 such a change might cause the jewel pin to strike the horn of the fork1 as indicated at the dotted line m1 ,fig4 #ii4 ,dealing with such and similar abstractions by mental process requires the closest kind of reasoning2 and if we attempt to delineate all the complications which follow even such a small change1 we will find the job a lengthy one4 ,but with a large model having adjustable parts we provide ourselves with the means for the very best practical solution1 and the workman who makes and manipulates such a model will soon master the lever escapement4 ,,quiz ,,problems ,,in ,,the ,,detached ,,lever ,,escapement4 ,some years ago a young watchmaker friend of the writer made1 at his suggestion1 a model of the lever escapement similar to the one described1 which he used to play with1 as he termed it--that is1 he would set the fork and pallets 7which were adjustable7 in all sorts of ways1 right ways and wrong ways1 so he could watch the results4 ,a favorite pastime was to set every part for the best results1 which was determined by the arc of vibration of the balance4 ,by this sort of training he soon reached that degree of proficiency where one could no more puzzle him with a bad lever escapement than you could spoil a meal for him by disarranging his knife1 fork and spoon4 ,let us1 as a practical example1 take up the consideration of a short fork4 ,to represent this in our model we take a lever as shown at ,fig4 #ii1 with the elongated slot for the pallet staff at g4 ,to facilitate the description we reproduce at ,fig4 #ajb the figure just mentioned1 and also employ the same letters of reference4 ,we fancy everybody who has any knowledge of the lever escapement has an idea of exactly what a short fork is1 and at the same time it would perhaps puzzle them a good deal to explain the difference between a short fork and a roller too small4 ,illustration3 ,fig4 #ajb ,illustration3 ,fig4 #ajc ,in our practical problems1 as solved on a large escapement model1 say we first fit our fork of the proper length1 and then by the slot g move the lever back a little1 leaving the bankings precisely as they were4 ,what are the consequences of this slight change8 ,one of the first results which would display itself would be discovered by the guard pin failing to perform its proper functions4 ,for instance1 the guard pin pushed inward against the roller would cause the engaged tooth to pass off the locking face of the pallet1 and the fork1 instead of returning against the banking1 would cause the guard pin to ride the roller during the entire excursion of the jewel pin4 ,this fault produces a scraping sound in a watch4 ,suppose we attempt to remedy the fault by bending forward the guard pin b1 as indicated by the dotted outline b' in ,fig4 #ajc1 said figure being a side view of ,fig4 #ajb seen in the direction of the arrow a4 ,this policy would prevent the engaged pallet from passing off of the locking face of the pallet1 but would be followed by the jewel pin not passing fully into the fork1 but striking the inside face of the prong of the fork at about the point indicated by the dotted line m4 ,we can see that if the prong of the fork was extended to about the length indicated by the outline at c1 the action would be as it should be4 ,to practically investigate this matter to the best advantage1 we need some arrangement by which we can determine the angular motion of the lever and also of the roller and escape wheel4 ,to do this1 we provide ourselves with a device which has already been described1 but of smaller size1 for measuring fork and pallet action4 ,the device to which we allude is shown at ,figs4 #ajd1 #aje and #ajf4 ,fig4 #ajd shows only the index hand1 which is made of steel about #a_/bj thick and shaped as shown4 ,the jaws ,b'' are intended to grasp the pallet staff by the notches e1 and hold by friction4 ,the prongs l l are only to guard the staff so it will readily enter the notch e4 ,the circle d is only to enable us to better hold the hand ,b flat4 ,illustration3 ,fig4 #ajd ,,how ,,to ,,measure ,,escapement ,,angles4 ,from the center of the notches e to the tip of the index hand ,b' the length is #b4 ,this distance is also the radius of the index arc ,c4 ,this index arc is divided into thirty degrees1 with three or four supplementary degrees on each side1 as shown4 ,for measuring pallet action we only require ten degrees1 and for roller action thirty degrees4 ,the arc ,c1 ,fig4 #aje1 can be made of brass and is about #a long by wide2 said arc is mounted on a brass wire about #a_/h diameter1 as shown at k1 ,fig4 #ajf1 which is a view of ,fig4 #aje seen in the direction of the arrow i4 ,this wire k enters a base shown at ,d ,e1 ,fig4 #ajf1 which is provided with a set-screw at j for holding the index arc at the proper height to coincide with the hand ,b4 ,illustration3 ,fig4 #aje ,illustration3 ,fig4 #ajf ,a good way to get up the parts shown in ,fig4 #ajf is to take a disk of thick sheet brass about #a in diameter and insert in it a piece of brass wire about diameter and #c_/h long1 through which drill axially a hole to receive the wire k4 ,after the jaws ,b'' are clamped on the pallet staff1 we set the index arc ,c so the hand ,b' will indicate the angular motion of the pallet staff4 ,by placing the index hand ,b on the balance staff we can get at the exact angular duration of the engagement of the jewel pin in the fork4 ,of course1 it is understood that this instrument will also measure the angles of impulse and lock4 ,thus1 suppose the entire angular motion of the lever from bank to bank is ten degrees2 to determine how much of this is lock and how much impulse1 we set the index arc ,c so that the hand ,b' marks ten degrees for the entire motion of the fork1 and when the escapement is locked we move the fork from its bank and notice by the arc ,c how many degrees the hand indicated before it passed of its own accord to the opposite bank4 ,if we have more than one and a half degrees of lock we have too much and should seek to remedy it4 ,how8 ,it is just the answers to such questions we propose to give by the aid of our big model4 ,,determination ,,of ,,right ,,methods4 ,be sure you are right1 then go ahead1 was the advice of the celebrated ,davie ,crockett4 ,the only trouble in applying this motto to watchmaking is to know when you are right4 ,we have also often heard the remark that there was only one right way1 but any number of wrong ways4 ,now we are inclined to think that most of the people who hold to but one right way are chiefly those who believe all ways but their own ways are wrong4 ,iron-bound rules are seldom sound even in ethics1 and are utterly impracticable in mechanics4 ,we have seen many workmen who had learned to draw a lever escapement of a given type1 and lived firm in the belief that all lever escapements were wrong which were not made so as to conform to this certain method4 ,one workman believes in equidistant lockings1 another in circular pallets2 each strong in the idea that their particular and peculiar method of designing a lever escapement was the only one to be tolerated4 ,the writer is free to confess that he has seen lever escapements of both types1 that is1 circular pallets and equidistant lockings1 which gave excellent results4 ,another mooted point in the lever escapement is1 to decide between the merits of the ratchet and the club-tooth escape wheel4 ,english makers1 as a rule1 hold to the ratchet tooth1 while ,continental and ,american manufacturers favor the club tooth4 ,the chief arguments in favor of the ratchet tooth are3 7a7 ,it will run without oiling the pallets2 7b7 in case the escape wheel is lost or broken it is more readily replaced1 as all ratchet-tooth escape wheels are alike1 either for circular pallets or equidistant lockings4 ,the objections urged against it are3 7a7 ,excessive drop2 7b7 the escape wheel1 being frail1 is liable to be injured by incompetent persons handling it2 7c7 this escapement in many instances does require to have the pallets oiled4 ,,escapements ,,compared4 7a7 ,that a ratchet-tooth escape wheel requires more drop than a club tooth must be admitted without argument1 as this form of tooth requires from one-half to three-fourths of a degree more drop than a club tooth2 7b7 as regards the frailty of the teeth we hold this as of small import1 as any workman who is competent to repair watches would never injure the delicate teeth of an escape wheel2 7c7 ratchet-tooth lever escapements will occasionally need to have the pallets oiled4 ,the writer is inclined to think that this defect could be remedied by proper care in selecting the stone 7ruby or sapphire7 and grinding the pallets in such a way that the escape-wheel teeth will not act against the foliations with which all crystalline stones are built up4 ,all workmen who have had an extended experience in repair work are well aware that there are some lever escapements in which the pallets absolutely require oil2 others will seem to get along very nicely without4 ,this applies also to ,american brass club-tooth escapements2 hence1 we have so much contention about oiling pallets4 ,the writer does not claim to know positively that the pallet stones are at fault because some escapements need oiling1 but the fact must admit of explanation some way1 and is this not at least a rational solution8 ,all persons who have paid attention to crystallography are aware that crystals are built up1 and have lines of cleavage4 ,in the manufacture of hole jewels1 care must be taken to work with the axis of crystallization1 or a smooth hole cannot be obtained4 ,the advantages claimed for the club-tooth escapement are many2 among them may be cited 7a7 the fact that it utilizes a greater arc of impulse of the escape wheel2 7b7 the impulse being divided between the tooth and the pallet1 permits greater power to be utilized at the close of the impulse4 ,this feature we have already explained4 ,it is no doubt true that it is more difficult to match a set of pallets with an escape wheel of the club-tooth order than with a ratchet tooth2 still the writer thinks that this objection is of but little consequence where a workman knows exactly what to do and how to do it2 in other words1 is sure he is right1 and can then go ahead intelligently4 ,it is claimed by some that all ,american escape wheels of a given grade are exact duplicates2 but1 as we have previously stated1 this is not exactly the case1 as they vary a trifle4 ,so do the pallet jewels vary a little in thickness and in the angles4 ,suppose we put in a new escape wheel and find we have on the entrance pallet too much drop1 that is1 the tooth which engaged this pallet made a decided movement forward before the tooth which engaged the exit pallet encountered the locking face of said pallet4 ,if we thoroughly understand the lever escapement we can see in an instant if putting in a thicker pallet stone for entrance pallet will remedy the defect4 ,here again we can study the effects of a change in our large model better than in an escapement no larger than is in an ordinary watch4 ,,how ,,to ,,set ,,pallet ,,stones4 ,there have been many devices brought forward to aid the workman in adjusting the pallet stones to lever watches4 ,before going into the details of any such device we should thoroughly understand exactly what we desire to accomplish4 ,in setting pallet stones we must take into consideration the relation of the roller and fork action4 ,as has already been explained1 the first thing to do is to set the roller and fork action as it should be1 without regard in a great degree to pallet action4 ,illustration3 ,fig4 #ajg ,to explain1 suppose we have a pallet stone to set in a full-plate movement4 ,the first thing to do is to close the bankings so that the jewel pin will not pass out of the slot in the fork on either side2 then gradually open the bankings until the jewel pin will pass out4 ,this will be understood by inspecting ,fig4 #ajg1 where ,a ,a' shows a lever fork as if in contact with both banks1 and the jewel pin1 represented at ,b ,b''1 just passes the angle a c' of the fork4 ,the circle described by the jewel pin ,b is indicated by the arc e4 ,it is well to put a slight friction under the balance rim1 in order that we can try the freedom of the guard pin4 ,as a rule1 all the guard pin needs is to be free and not touch the roller4 ,the entire point1 as far as setting the fork and bankings is concerned1 is to have the fork and roller action sound4 ,for all ordinary lever escapements the angular motion of the lever banked in as just described should be about ten degrees4 ,as explained in former examples1 if the fork action is entirely sound and the lever only vibrates through an arc of nine degrees1 it is quite as well to make the pallets conform to this arc as to make the jewel pin carry the fork through full ten degrees4 ,again1 if the lever vibrates through eleven degrees1 it is as well to make the pallets conform to this arc4 ,the writer is well aware that many readers will cavil at this idea and insist that the workman should bring all the parts right on the basis of ten degrees fork and lever action4 ,in reply we would say that no escapement is perfect1 and it is the duty of the workman to get the best results he can for the money he gets for the job4 ,in the instance given above1 of the escapement with nine degrees of lever action1 when the fork worked all right1 if we undertook to give the fork the ten degrees demanded by the stickler for accuracy we would have to set out the jewel pin or lengthen the fork1 and to do either would require more time than it would to bring the pallets to conform to the fork and roller action4 ,it is just this knowing how and the decision to act that makes the difference in the workman who is worth to his employer twelve or twenty-five dollars per week4 ,we have described instruments for measuring the angle of fork and pallet action1 but after one has had experience he can judge pretty nearly and then it is seldom necessary to measure the angle of fork action as long as it is near the proper thing1 and then bring the pallets to match the escape wheel after the fork and roller action is as it should be--that is1 the jewel pin and fork work free1 the guard pin has proper freedom1 and the fork vibrates through an arc of about ten degrees4 ,usually the workman can manipulate the pallets to match the escape wheel so that the teeth will have the proper lock and drop at the right instant1 and again have the correct lock on the next succeeding pallet4 ,the tooth should fall but a slight distance before the tooth next in action locks it1 because all the angular motion the escape wheel makes except when in contact with the pallets is just so much lost power1 which should go toward giving motion to the balance4 ,there seems to be a little confusion in the use of the word drop in horological phrase1 as it is used to express the act of parting of the tooth with the pallet4 ,the idea will be seen by inspecting ,fig4 #ajh1 where we show the tooth ,d and pallet ,c as about parting or dropping4 ,when we speak of banking up to the drop we mean we set the banking screws so that the teeth will just escape from each pallet4 ,by the term fall we mean the arc the tooth passes through before the next pallet is engaged4 ,this action is also illustrated at ,fig4 #ajh1 where the tooth ,d1 after dropping from the pallet ,c1 is arrested at the position shown by the dotted outline4 ,we designate this arc by the term fall1 and we measure this motion by its angular extent1 as shown by the dotted radial lines i f and i g4 ,as we have explained1 this fall should only extend through an arc of one and a half degrees1 but by close escapement matching this arc can be reduced to one degree1 or even a trifle less4 ,illustration3 ,fig4 #ajh ,we shall next describe an instrument for holding the escape wheel and pallets while adjusting them4 ,as shown at ,fig4 #ajg1 the fork ,a' is banked a little close and the jewel pin as shown would1 in some portions1 rub on ,c'1 making a scraping sound4 ,,how ,,to ,,make ,,an ,,escapement ,,matching ,,tool4 ,illustration3 ,fig4 #aji ,a point has now been reached where we can use an escapement matcher to advantage4 ,there are several good ones on the market1 but we can make one very cheaply and also add our own improvements4 ,in making one1 the first thing to be provided is a movement holder4 ,any of the three-jaw types of such holders will answer1 provided the jaws hold a movement plate perfectly parallel with the bed of the holder4 ,this will be better understood by inspecting ,fig4 #aji1 which is a side view of a device of this kind seen edgewise in elevation4 ,in this ,b represents the bed plate1 which supports three swing jaws1 shown at ,c1 ,figs4 #aji and #aaj4 ,the watch plate is indicated by the parallel dotted lines ,a1 ,fig4 #aji4 ,the seat a of the swing jaws ,c must hold the watch plate ,a exactly parallel with the bed plate ,b4 ,in the cheap movement holders these seats 7a7 are apt to be of irregular heights1 and must be corrected for our purpose4 ,we will take it for granted that all the seats a are of precisely the same height1 measured from ,b1 and that a watch plate placed in the jaws ,c will be held exactly parallel with the said bed ,b4 ,we must next provide two pillars1 shown at ,d ,e1 ,figs4 #aji and #aaa4 ,these pillars furnish support for sliding centers which hold the top pivots of the escape wheel and pallet staff while we are testing the depths and adjusting the pallet stones4 ,it will be understood that these pillars ,d ,e are at right angles to the plane of the bed ,b1 in order that the slides like ,g ,n on the pillars ,d ,e move exactly vertical4 ,in fact1 all the parts moving up and down should be accurately made1 so as not to destroy the depths taken from the watch plate ,a4 ,suppose1 to illustrate1 that we place the plate ,a in position as shown1 and insert the cone point n1 ,figs4 #aji and #aab1 in the pivot hole for the pallet staff1 adjusting the slide ,g ,n so that the cone point rests accurately in said pivot hole4 ,it is further demanded that the parts ,i ,h ,f ,g ,n ,d be so constructed and adjusted that the sliding center ,i moves truly vertical1 and that we can change ends with said center ,i and place the hollow cone end m1 ,fig4 #aab1 so it will receive the top pivot of the pallet staff and hold it exactly upright4 ,illustration3 ,fig4 #aaj ,illustration3 ,fig4 #aaa ,illustration3 ,fig4 #aab ,the idea of the sliding center ,i is to perfectly supply the place of the opposite plate of the watch and give us exactly the same practical depths as if the parts were in their place between the plates of the movement4 ,the foot of the pillar ,d has a flange attached1 as shown at f1 which aids in holding it perfectly upright4 ,it is well to cut a screw on ,d at ,d'1 and screw the flange f on such screw and then turn the lower face of f flat to aid in having the pillar ,d perfectly upright4 ,,details ,,of ,,fitting ,,up ,,escapement ,,matcher4 ,it is well to fit the screw ,d' loosely1 so that the flange f will come perfectly flat with the upper surface of the base plate ,b4 ,the slide ,g ,n on the pillar ,d can be made of two pieces of small brass tube1 one fitting the pillar ,d and the other the bar ,f4 ,the slide ,g ,n is held in position by the set screw g1 and the rod ,f by the set screw h4 ,illustration3 ,fig4 #aac ,illustration3 ,fig4 #aad ,the piece ,h can be permanently attached to the rod ,f4 ,we show separate at ,figs4 #aac and #aad the slide ,g ,n on an enlarged scale from ,fig4 #aji4 ,fig4 #aad is a view of ,fig4 #aac seen in the direction of the arrow e4 ,all joints and movable parts should work free1 in order that the center ,i may be readily and accurately set4 ,the parts ,h ,f are shown separate and enlarged at ,figs4 #aae and #aaf4 ,the piece ,h can be made of thick sheet brass securely attached to ,f in such a way as to bring the ,v-shaped groove at right angles to the axis of the rod ,f4 ,it is well to make the rod ,f about #a_/h in diameter1 while the sliding center ,i need not be more than #a_/af in diameter4 ,the cone point n should be hardened to a spring temper and turned to a true cone in an accurately running wire chuck4 ,illustration3 ,fig4 #aae ,illustration3 ,fig4 #aaf ,the hollow cone end m of ,i should also be hardened1 but this is best done after the hollow cone is turned in4 ,the hardening of both ends should only be at the tips4 ,the sliding center ,i can be held in the ,v-shaped groove by two light friction springs1 as indicated at the dotted lines s s1 ,fig4 #aae1 or a flat plate of ,no4 #bd or #be sheet brass of the size of ,h can be employed1 as shown at ,figs4 #aaf and #aag1 where o represents the plate of ,no4 #bd brass1 p p the small screws attaching the plate o to ,h1 and k a clamping screw to fasten ,i in position4 ,it will be found that the two light springs s s1 ,fig4 #aae will be the most satisfactory4 ,the wire legs1 shown at ,l1 will aid in making the device set steady4 ,the pillar ,e is provided with the same slides and other parts as described and illustrated as attached to ,d4 ,the position of the pillars ,d and ,e are indicated at ,fig4 #aaj4 ,illustration3 ,fig4 #aag ,illustration3 ,fig4 #aah ,we will next tell how to flatten ,f to keep ,h exactly vertical4 ,to aid in explanation1 we will show 7enlarged7 at ,fig4 #aah the bar ,f shown in ,fig4 #aji4 ,in flattening such pieces to prevent turning1 we should cut away about two-fifths1 as shown at ,fig4 #aai1 which is an end view of ,fig4 #aah seen in the direction of the arrow c4 ,in such flattening we should not only cut away two-fifths at one end1 but we must preserve this proportion from end to end4 ,to aid in this operation we make a fixed gage of sheet metal1 shaped as shown at ,i1 ,fig4 #abj4 ,illustration3 ,fig4 #aai ,,escapement ,,matching ,,device ,,described4 ,illustration3 ,fig4 #abj ,in practical construction we first file away about two-fifths of ,f and then grind the flat side on a glass slab to a flat1 even surface and1 of course1 equal thickness from end to end4 ,we reproduce the sleeve ,g as shown at ,fig4 #aac as if seen from the left and in the direction of the axis of the bar ,f4 ,to prevent the bar ,f turning on its axis1 we insert in the sleeve ,g a piece of wire of the same size as ,f but with three-fifths cut away1 as shown at y1 ,fig4 #aba4 ,this piece y is soldered in the sleeve ,g so its flat face stands vertical4 ,to give service and efficiency to the screw h1 we thicken the side of the sleeve ,f by adding the stud w1 through which the screw h works4 ,a soft metal plug goes between the screw h and the bar ,f1 to prevent ,f being cut up and marred4 ,it will be seen that we can place the top plate of a full-plate movement in the device shown at ,fig4 #aji and set the vertical centers ,i so the cone points n will rest in the pivot holes of the escape wheel and pallets4 ,it is to be understood that the lower side of the top plate is placed uppermost in the movement holder4 ,illustration3 ,fig4 #aba ,if we now reverse the ends of the centers ,i and let the pivots of the escape wheel and pallet staff rest in the hollow cones of these centers ,i1 we have the escape wheel and pallets in precisely the same position and relation to each other as if the lower plate was in position4 ,it is further to be supposed that the balance is in place and the cock screwed down1 although the presence of the balance is not absolutely necessary if the banking screws are set as directed1 that is1 so the jewel pin will just freely pass in and out of the fork4 ,,how ,,to ,,set ,,pallet ,,stones4 ,we have now come to setting or manipulating the pallet stones so they will act in exact conjunction with the fork and roller4 ,to do this we need to have the shellac which holds the pallet stones heated enough to make it plastic4 ,the usual way is to heat a piece of metal and place it in close proximity to the pallets1 or to heat a pair of pliers and clamp the pallet arms to soften the cement4 ,of course1 it is understood that the movement holder cannot be moved about while the stones are being manipulated4 ,the better way is to set the movement holder on a rather heavy plate of glass or metal1 so that the holder will not jostle about2 then set the lamp so it will do its duty1 and after a little practice the setting of a pair of pallet stones to perfectly perform their functions will take but a few minutes4 ,in fact1 if the stones will answer at all1 three to five minutes is as much time as one could well devote to the adjustment4 ,the reader will see that if the lever is properly banked all he has to do is to set the stones so the lock1 draw and drop are right1 when the entire escapement is as it should be1 and will need no further trial or manipulating4 ,,chapter ,,ii4 ,,the ,,cylinder ,,escapement4 ,there is always in mechanical matters an underlying combination of principles and relations of parts known as theory4 ,we often hear the remark made that such a thing may be all right in theory1 but will not work in practice4 ,this statement has no foundation in fact4 ,if a given mechanical device accords strictly with theory1 it will come out all right practically4 ,mental conceptions of a machine are what we may term their theoretical existence4 ,when we make drawings of a machine mentally conceived1 we commence its mechanical construction1 and if we make such drawings to scale1 and add a specification stating the materials to be employed1 we leave only the merest mechanical details to be carried out2 the brain work is done and only finger work remains to be executed4 ,with these preliminary remarks we will take up the consideration of the cylinder escapement invented by ,robert ,graham about the year #agbj4 ,it is one of the two so-called frictional rest dead-beat escapements which have come into popular use1 the other being the duplex4 ,usage1 or1 to put it in other words1 experience derived from the actual manufacture of the cylinder escapement1 settled the best forms and proportions of the several parts years ago4 ,still1 makers vary slightly on certain lines1 which are important for a man who repairs such watches to know and be able to carry out1 in order to put them in a condition to perform as intended by the manufacturers4 ,it is not knowing these lines which leaves the average watchmaker so much at sea4 ,he cuts and moves and shifts parts about to see if dumb luck will not supply the correction he does not know how to make4 ,this requisite knowledge does not consist so much in knowing how to file or grind as it does in discriminating where such application of manual dexterity is to be applied4 ,and right here let us make a remark to which we will call attention again later on4 ,the point of this remark lies in the question--,how many of the so-called practical watchmakers could tell you what proportion of a cylinder should be cut away from the half shell8 ,how many could explain the difference between the real and apparent lift8 ,comparatively few1 and yet a knowledge of these things is as important for a watchmaker as it is for a surgeon to understand the action of a man's heart or the relations of the muscles to the bones4 ,,essential ,,parts ,,of ,,the ,,cylinder ,,escapement4 ,the cylinder escapement is made up of two essential parts1 viz43 the escape wheel and the cylinder4 ,the cylinder escape wheel in all modern watches has fifteen teeth1 although ,saunier1 in his ,modern ,horology1 delineates a twelve-tooth wheel for apparently no better reason than because it was more easily drawn4 ,we1 in this treatise1 will consider both the theoretical action and the practical construction1 but more particularly the repair of this escapement in a thorough and complete manner4 ,at starting out1 we will first agree on the names of the several parts of this escapement1 and to aid us in this we will refer to the accompanying drawings1 in which ,fig4 #abb is a side elevation of a cylinder complete and ready to have a balance staked on to it4 ,fig4 #abc shows the cylinder removed from the balance collet4 ,figs4 #abd and #abe show the upper and lower plugs removed from the cylinder4 ,fig4 #abf is a horizontal section of ,fig4 #abb on the line i4 ,fig4 #abg is a side view of one tooth of a cylinder escape wheel as if seen in the direction of the arrow f in ,fig4 #abf4 ,fig4 #abh is a top view of two teeth of a cylinder escape wheel4 ,the names of the several parts usually employed are as follows3 ,a4--,upper or ,main ,shell4 ,a'4--,half ,shell4 ,a''4--,column4 ,a'''4--,small ,shell4 ,b ,b' ,b''4--,balance ,collet4 ,g4--,upper ,plug4 ,h4--,lower ,plug4 g4--,entrance ,lip of ,cylinder4 h4--,exit ,lip of ,cylinder4 c4--,banking ,slot4 ,c4--,tooth4 ,d4--,u arm4 ,e4--,stalk of ,pillar4 ,i4--,u space4 l4--,point of ,tooth4 k4--,heel of ,tooth4 ,the cylinder escapement has two engagements or actions1 during the passage of each tooth2 that is1 one on the outside of the cylinder and one on the inside of the shell4 ,as we shall show later on1 the cylinder escapement is the only positively dead-beat escapement in use1 all others1 even the duplex1 having a slight recoil during the process of escaping4 ,when the tooth of a cylinder escape wheel while performing its functions1 strikes the cylinder shell1 it rests dead on the outer or inner surface of the half shell until the action of the balance spring has brought the lip of the cylinder so that the impulse face of the tooth commences to impart motion or power to the balance4 ,illustration3 ,fig4 #abb ,illustration3 ,fig4 #abc ,illustration3 ,fig4 #abd ,illustration3 ,fig4 #abe ,illustration3 ,fig4 #abf ,illustration3 ,fig4 #abg ,illustration3 ,fig4 #abh ,most writers on horological matters term this act the lift1 which name was no doubt acquired when escapements were chiefly confined to pendulum clocks4 ,very little thought on the matter will show any person who inspects ,fig4 #abf that if the tooth ,c is released or escapes from the inside of the half shell of the cylinder ,a1 said cylinder must turn or revolve a little in the direction of the arrow j1 and also that the next succeeding tooth of the escape wheel will engage the cylinder on the outside of the half shell1 falling on the dead or neutral portion of said cylinder1 to rest until the hairspring causes the cylinder to turn in the opposite direction and permitting the tooth now resting on the outside of the cylinder to assume the position shown on the drawing4 ,the first problem in our consideration of the theoretical action of the cylinder escapement1 is to arrange the parts we have described so as to have these two movements of the escape wheel of like angular values4 ,to explain what we mean by this1 we must premise by saying1 that as our escape wheel has fifteen teeth and we make each tooth give two impulses in alternate directions we must arrange to have these half-tooth movements exactly alike1 or1 as stated above1 of equal angular values2 and also each impulse must convey the same power or force to the balance4 ,all escape wheels of fifteen teeth acting by half impulses must impel the balance during twelve degrees 7minus the drop7 of escape-wheel action2 or1 in other words1 when a tooth passes out of the cylinder from the position shown at ,fig4 #abf1 the form of the impulse face of the tooth and the shape of the exit lip of the cylinder must be such during twelve degrees 7less the drop7 of the angular motion of the escape wheel4 ,the entire power of such an escape wheel is devoted to giving impulse to the balance4 ,the extent of angular motion of the balance during such impulse is1 as previously stated1 termed the lifting angle4 ,this lifting angle is by horological writers again divided into real and apparent lifts4 ,this last division is only an imaginary one1 as the real lift is the one to be studied and expresses the arc through which the impulse face of the tooth impels the balance during the act of escaping1 and so1 as we shall subsequently show1 should no more be counted than in the detached lever escapement1 where a precisely similar condition exists1 but is never considered or discussed4 ,we shall for the present take no note of this lifting angle1 but confine ourselves to the problem just named1 of so arranging and designing our escape-wheel teeth and cylinder that each half of the tooth space shall give equal impulses to the balance with the minimum of drop4 ,to do this we will make a careful drawing of an escape-wheel tooth and cylinder on an enlarged scale2 our method of making such drawings will be on a new and original system1 which is very simple yet complete4 ,,drawing ,,the ,,cylinder ,,escapement4 ,all horological--and for that matter all mechanical--drawings are based on two systems of measurements3 7#a7 ,linear extent2 7#b7 angular movement4 ,for the first measurement we adopt the inch and its decimals2 for the second we adopt degrees1 minutes and seconds4 ,for measuring the latter the usual plan is to employ a protractor1 which serves the double purpose of enabling us to lay off and delineate any angle and also to measure any angle obtained by the graphic method1 and it is thus by this graphic method we propose to solve very simply some of the most abstruce problems in horological delineations4 ,as an instance1 we propose to draw our cylinder escapement with no other instruments than a steel straight-edge1 showing one-hundredths of an inch1 and a pair of dividers2 the degree measurement being obtained from arcs of sixty degrees of radii1 as will be explained further on4 ,in describing the method for drawing the cylinder escapement we shall make a radical departure from the systems usually laid down in text-books1 and seek to simplify the formulas which have heretofore been given for such delineations4 ,in considering the cylinder escapement we shall pursue an analytical course and strive to build up from the underlying principles4 ,in the drawings for this purpose we shall commence with one having an escape wheel of #aj radius1 and our first effort will be the primary drawing shown at ,fig4 #abi4 ,here we establish the point ,a for the center of our escape wheel1 and from this center sweep the short arc a a with a #aj radius1 to represent the circumference of our escape wheel4 ,from ,a we draw the vertical line ,a ,b1 and from the intersection of said line with the arc a a we lay off twelve degree spaces on each side of the line ,a ,b on said arc a and establish the points b c4 ,from ,a as a center we draw through the points b c the radial lines b' c'4 ,to define the face of the incline to the teeth we set our dividers to the radius of any of the convenient arcs of sixty degrees which we have provided1 and sweep the arc t t4 ,from the intersection of said arc with the line ,a b' we lay off on said arc sixty-four degrees and establish the point g and draw the line b g4 ,why we take sixty-four degrees for the angle ,a b g will be explained later on1 when we are discussing the angular motion of the cylinder4 ,by dividing the eleventh degree from the point b on the arc a a into thirds and taking two of them1 we establish the point y and draw the radial line ,a y'4 ,where this line ,a y' intersects the line b g we name the point n1 and in it is located the point of the escape-wheel tooth4 ,that portion of the line b g which lies between the points b and n represents the measure of the inner diameter of the cylinder1 and also the length of the chord of the arc which rounds the impulse face of the tooth4 ,we divide the space b n into two equal portions and establish the point e1 which locates the position of the center of the cylinder4 ,from ,a as a center and through the point e we sweep the arc e' e'1 and it is on this line that the points establishing the center of the cylinder will in every instance be located4 ,from ,a as a center1 through the point n we sweep the arc k1 and on this line we locate the points of the escape-wheel teeth4 ,for delineating the curved impulse faces of the escape-wheel teeth we draw from the point e and at right angles to the line b g the line e o4 ,we next take in our dividers the radius of the arc k1 and setting one leg at either of the points b or n1 establish with the other leg the point p' on the line e o1 and from the point p' as a center we sweep the arc b v n1 which defines the curve of the impulse faces of the teeth4 ,from ,a as a center through the point p' we sweep the arc p1 and in all instances where we desire to delineate the curved face of a tooth we locate either the position of the point or the heel of such tooth1 and setting one leg of our dividers at such point1 the other leg resting on the arc p1 we establish the center from which to sweep the arc defining the face of said tooth4 ,,advantages ,,gained ,,in ,,shaping4 ,the reason for giving a curved form to the impulse face of the teeth of cylinder escape wheels are somewhat intricate1 and the problem involves several factors4 ,that there are advantages in so shaping the incline or impulse face is conceded1 we believe1 by all recent manufacturers4 ,the chief benefit derived from such curved impulse faces will be evident after a little thought and study of the situation and relation of parts as shown in ,fig4 #abi4 ,it will be seen on inspection that the angular motion imparted to the cylinder by the impulse face of the tooth when curved as shown1 is greater during the first half of the twelve degrees of escape-wheel action than during the last half1 thus giving the escape wheel the advantage at the time the balance spring increases its resistance to the passage of the escape-wheel tooth across the lip of the cylinder4 ,or1 in other words1 as the ratio of resistance of the balance spring increases1 in a like ratio the curved form of the impulse face of the tooth gives greater power to the escape-wheel action in proportion to the angular motion of the escape wheel4 ,hence1 in actual service it is found that cylinder watches with curved impulse planes to the escape-wheel teeth are less liable to set in the pocket than the teeth having straight impulse faces4 ,,the ,,outer ,,diameter ,,of ,,the ,,cylinder4 ,illustration3 ,fig4 #abi ,to define the remainder of the form of our escape-wheel tooth we will next delineate the heel4 ,to do this we first define the outer diameter of our cylinder1 which is the extent from the point n to c1 and after drawing the line n c we halve the space and establish the point x1 from which point as a center we sweep the circle w w1 which defines the outer circumference of our cylinder4 ,with our dividers set to embrace the extent from the point n to the point c we set one leg at the point b1 and with the other leg establish on the arc k the point h4 ,we next draw the line b h1 and from the point b draw the line b f at right angle to the line b h4 ,our object for drawing these lines is to define the heel of our escape-wheel tooth by a right angle line tangent to the circle w1 from the point b2 which circle w represents the curve of the outer circumference of the cylinder4 ,we shape the point of the tooth as shown to give it the proper stability1 and draw the full line j to a curve from the center ,a4 ,we have now defined the form of the upper face of the tooth4 ,how to delineate the ,u arms will be taken up later on1 as1 in the present case1 the necessary lines would confuse our drawing4 ,we would here take the opportunity to say that there is a great latitude taken by makers as regards the extent of angular impulse given to the cylinder1 or1 as it is termed1 the actual lift4 ,this latitude governs to a great extent the angle ,a b g1 which we gave as sixty-four degrees in our drawing4 ,it is well to understand that the use of sixty-four degrees is based on no hard-and-fast rules1 but varies back and forth1 according as a greater or lesser angle of impulse or lift is employed4 ,in practical workshop usage the impulse angle is probably more easily estimated by the ratio between the diameter of the cylinder and the measured 7by lineal measure7 height of the impulse plane4 ,or1 to be more explicit1 we measure the radial extent from the center ,a between the arcs a k on the line ,a b1 and use this for comparison with the outer diameter of the cylinder4 ,we can readily see that as we increase the height of the heel of the impulse face of our tooth we must also increase the angle of impulse imparted to the cylinder4 ,with the advantages of accurate micrometer calipers now possessed by the horological student it is an easy matter to get at the angular extent of the real lift of any cylinder4 ,the advantage of such measuring instruments is also made manifest in determining when the proper proportion of the cylinder is cut away for the half shell4 ,illustration3 ,fig4 #acj ,in the older methods of watchmaking it was a very common rule to say1 let the height of the incline of the tooth be one-seventh of the outer diameter of the cylinder1 and at the same time the trade was furnished with no tools except a clumsy douzieme gage2 but with micrometer calipers which read to one-thousandths of an inch such rules can be definitely carried into effect and not left to guess work4 ,let us compare the old method with the new3 ,suppose we have a new cylinder to put in2 we have the old escape wheel1 but the former cylinder is gone4 ,the old-style workman would take a round broach and calculate the size of the cylinder by finding a place where the broach would just go between the teeth1 and the size of the broach at this point was supposed to be the outer diameter of the cylinder4 ,by our method we measure the diameter of the escape wheel in thousandths of an inch1 and from this size calculate exactly what the diameter of the new cylinder should be in thousandths of an inch4 ,suppose1 to further carry out our comparison1 the escape wheel which is in the watch has teeth which have been stoned off to permit the use of a cylinder which was too small inside1 or1 in fact1 of a cylinder too small for the watch3 in this case the broach system would only add to the trouble and give us a cylinder which would permit too much inside drop4 ,,drawing ,a ,,cylinder4 ,we have already instructed the pupil how to delineate a cylinder escape wheel tooth and we will next describe how to draw a cylinder4 ,as already stated1 the center of the cylinder is placed to coincide with the center of the chord of the arc which defines the impulse face of the tooth4 ,consequently1 if we design a cylinder escape wheel tooth as previously described1 and setting one leg of our compasses at the point e which is situated at the center of the chord of the arc which defines the impulse face of the tooth and through the points d and b we define the inside of our cylinder4 ,we next divide the chord d b into eight parts and set our dividers to five of these parts1 and from e as a center sweep the circle h and define the outside of our cylinder4 ,from ,a as a center we draw the radial line ,a e'4 ,at right angles to the line ,a e' and through the point e we draw the line from e as a center1 and with our dividers set to the radius of any of the convenient arcs which we have divided into sixty degrees1 we sweep the arc i4 ,where this arc intersects the line f we term the point k1 and from this point we lay off on the arc i #bbj degrees1 and draw the line l e l'1 which we see coincides with the chord of the impulse face of the tooth4 ,we set our dividers to the same radius by which we sweep the arc i and set one leg at the point b for a center and sweep the arc j'4 ,if we measure this arc from the point j' to intersection of said arc j' with the line l we will find it to be sixty-four degrees1 which accounts for our taking this number of degrees when we defined the face of our escape-wheel tooth1 ,fig4 #abi4 ,there is no reason why we should take twenty-degrees for the angle k e l except that the practical construction of the larger sizes of cylinder watches has established the fact that this is about the right angle to employ1 while in smaller watches it frequently runs up as high as twenty-five4 ,although the cylinder is seemingly a very simple escapement1 it is really a very abstruce one to follow out so as to become familiar with all of its actions4 ,,the ,,cylinder ,,proper ,,considered4 ,illustration3 ,fig4 #aca ,we will now proceed and consider the cylinder proper1 and to aid us in understanding the position and relation of the parts we refer to ,fig4 #aca1 where we repeat the circles d and h1 shown in ,fig4 #acj1 which represents the inside and outside of the cylinder4 ,we have here also repeated the line f of ,fig4 #acj as it cuts the cylinder in half1 that is1 divides it into two segments of #ahj degrees each4 ,if we conceive of a cylinder in which just one-half is cut away1 that is1 the lips are bounded by straight radial lines1 we can also conceive of the relation and position of the parts shown in ,fig4 #acj4 ,the first position of which we should take cognizance is1 the tooth ,d is moved back to the left so as to rest on the outside of our cylinder4 ,the cylinder is also supposed to stand so that the lips correspond to the line f4 ,on pressing the tooth ,d forward the incline of the tooth would attack the entrance lip of the cylinder at just about the center of the curved impulse face1 imparting to the cylinder twenty degrees of angular motion1 but the point of the tooth at d would exactly encounter the inner angle of the exit lip1 and of course the cylinder would afford no rest for the tooth2 hence1 we see the importance of not cutting away too much of the half shell of the cylinder4 ,but before we further consider the action of the tooth ,d in its action as it passes the exit lip of the cylinder we must finish with the action of the tooth on the entrance lip4 ,a very little thought and study of ,fig4 #acj will convince us that the incline of the tooth as it enters the cylinder will commence at t1 ,fig4 #acj1 but at the close of the action the tooth parts from the lip on the inner angle4 ,now it is evident that it would require greater force to propel the cylinder by its inner angle than by the outer one4 ,to compensate for this we round the edge of the entrance lip so that the action of the tooth instead of commencing on the outer angle commences on the center of the edge of the entrance lip and also ends its action on the center of the entrance lip4 ,to give angular extent enough to the shell of the cylinder to allow for rounding and also to afford a secure rest for the tooth inside the cylinder1 we add six degrees to the angular extent of the entrance lip of the cylinder shell1 as indicated on the arc o'1 ,fig4 #aca1 three of these degrees being absorbed for rounding and three to insure a dead rest for the tooth when it enters the cylinder4 ,,why ,,the ,,angular ,,extent ,,is ,,increased4 ,without rounding the exit lip the action of the tooth on its exit would be entirely on the inner angle of the shell4 ,to obviate this it is the usual practice to increase the angular extent of the cylinder ten degrees1 as shown on the arc o' between the lines f and p1 ,fig4 #aca4 ,why we should allow ten degrees on the exit lip and but six degrees on the entrance lip will be understood by observing ,fig4 #acj1 where the radial lines s and r show the extent of angular motion of the cylinder1 which would be lost if the tooth commenced to act on the inner angle and ended on the outer angle of the exit lip4 ,this arc is a little over six degrees1 and if we add a trifle over three degrees for rounding we would account for the ten degrees between the lines f and p1 ,fig4 #aca4 ,it will now be seen that the angular extent is #aif degrees4 ,if we draw the line w we can see in what proportion the measurement should be made between the outer diameter of the cylinder and the measure of the half shell4 ,it will be seen on measurement that the distance between the center e and the line w is about one-fifteenth part of the outer diameter of the cylinder and consequently with a cylinder which measures #de_/ajjj of an inch in diameter1 now the half shell should measure half of the entire diameter of the cylinder plus one-fifteenth part of such diameter1 or #be thousandths of an inch4 ,after these proportions are understood and the drawing made1 the eye will get accustomed to judging pretty near what is required2 but much the safer plan is to measure1 where we have the proper tools for doing so4 ,most workmen have an idea that the depth or distance at which the cylinder is set from the escape wheel is a matter of adjustment2 while this is true to a certain extent1 still there is really only one position for the center of the cylinder1 and that is so that the center of the pivot hole coincides exactly with the center of the chord to the curve of the impulse face of the tooth or the point e1 ,fig4 #acj4 ,any adjustment or moving back and forth of the chariot to change the depth could only be demanded where there was some fault existing in the cylinder or where it had been moved out of its proper place by some genius as an experiment in cylinder depths4 ,it will be evident on observing the drawing at ,fig4 #aca that when the cylinder is performing an arc of vibration1 as soon as the entrance lip has passed the point indicated by the radial line e x the point of the escape-wheel tooth will commence to act on the cylinder lip and continue to do so through an arc of forty degrees1 or from the lines x to l4 ,,making ,a ,,working ,,model4 ,to practically study the action of the cylinder escapement it is well to make a working model4 ,it is not necessary that such a model should contain an entire escape wheel2 all that is really required is two teeth cut out of brass of the proper forms and proportions and attached to the end of an arm #d-g_/h long with studs riveted to the ,u arms to support the teeth4 ,this ,u arm is attached to the long arm we have just mentioned4 ,a flat ring of heavy sheet brass is shaped to represent a short transverse section of a cylinder4 ,this segment is mounted on a yoke which turns on pivots4 ,in making such a model we can employ all the proportions and exact forms of the larger drawings made on a ten-inch radius4 ,such a model becomes of great service in learning the importance of properly shaping the lips of the cylinder4 ,and right here we beg to call attention to the fact that in the ordinary repair shop the proper shape of cylinder lips is entirely neglected4 ,,proper ,,shape ,,of ,,cylinder ,,lips4 ,the workman buys a cylinder and whether the proper amount is cut away from the half shell1 or the lips1 the correct form is entirely ignored1 and still careful attention to the form of the cylinder lips adds full ten per cent4 to the efficiency of the motive force as applied to the cylinder4 ,in making study drawings of the cylinder escapement it is not necessary to employ paper so large that we can establish upon it the center of the arc which represents the periphery of our escape wheel1 as we have at our disposal two plans by which this can be obviated4 ,first1 placing a bit of bristol board on our drawing-board in which we can set one leg of our dividers or compasses when we sweep the peripheral arc which we use in our delineations2 second1 making three arcs in brass or other sheet metal1 viz43 the periphery of the escape wheel1 the arc passing through the center of the chord of the arc of the impulse face of the tooth1 and the arc passing through the point of the escape-wheel tooth4 ,of these plans we favor the one of sticking a bit of cardboard on the drawing board outside of the paper on which we are making our drawing4 ,illustration3 ,fig4 #acb ,at ,fig4 #acb we show the position and relation of the several parts just as the tooth passes into the shell of the cylinder1 leaving the lip of the cylinder just as the tooth parted with it4 ,the half shell of the cylinder as shown occupies #aif degrees or the larger arc embraced between the radial lines k and l4 ,in drawing the entrance lip the acting face is made almost identical with a radial line except to round the corners for about one-third the thickness of the cylinder shell4 ,no portion1 however1 of the lip can be considered as a straight line1 but might be described as a flattened curve4 ,illustration3 ,fig4 #acc ,a little study of what would be required to get the best results after making such a drawing will aid the pupil in arriving at the proper shape1 especially when he remembers that the thickness of the cylinder shell of a twelve-line watch is only about five one-thousandths of an inch4 ,but because the parts are small we should not shirk the problem of getting the most we possibly can out of a cylinder watch4 ,the extent of arc between the radial lines k f1 as shown in ,fig4 #acb1 is four degrees4 ,although in former drawings we showed the angular extent added as six degrees1 as we show the lip m in ,fig4 #acb1 two degrees are lost in rounding4 ,the space k f on the egress or exit side is intended to be about four degrees1 which shows the extent of lock4 ,we show at ,fig4 #acc the tooth ,d just having passed out of the cylinder1 having parted with the exit lip p4 ,in making this drawing we proceed as with ,fig4 #acb by establishing a center for our radius of #aj outside of our drawing paper and drawing the line ,a ,a to such center and sweeping the arcs a b c4 ,we establish the point e1 which represents the center of our cylinder1 as before4 ,we take the space to represent the radial extent of the outside of our cylinder in our dividers and from e as a center sweep a fine pencil line1 represented by the dotted line t in our drawing2 and where this circle intersects the arc a we name it the point s2 and it is at this point the heel of our escape-wheel tooth must part with the exit lip of the cylinder4 ,from e as a center and through the point s we draw the line e l''4 ,with our dividers set to the radius of any convenient arc which we have divided into degrees1 we sweep the short arc d'4 ,the intersection of this arc with the line e l'' we name the point u2 and from e as a center we draw the radial line e u f'4 ,we place the letter f'' in connection with this line because it 7the line7 bears the same relations to the half shell of the cylinder shown in ,fig4 #acc that the line f does to the half shell 7,d7 shown in ,fig4 #acb4 ,we draw the line f'' f'''1 ,fig4 #acc1 which divides the cylinder into two segments of #ahj degrees each4 ,we take the same space in our dividers with which we swept the interior of the cylinder in ,fig4 #acb and sweep the circle v1 ,fig4 #acc4 ,from e as a center we sweep the short arc d''1 ,fig4 #acc1 and from its intersection of the line f'' we lay off six degrees on said arc d'' and draw the line e' k''1 which defines the angular extent of our entrance lip to the half shell of the cylinder in ,fig4 #acc4 ,we draw the full lines of the cylinder as shown4 ,we next delineate the heel of the tooth which has just passed out of the cylinder1 as shown at ,d'1 ,fig4 #acc4 ,we now have a drawing showing the position of the half shell of the cylinder just as the tooth has passed the exit lip4 ,this drawing also represents the position of the half shell of the cylinder when the tooth rests against it on the outside4 ,if we should make a drawing of an escape-wheel tooth shaped exactly as the one shown at ,fig4 #acb and the point of the tooth resting at x1 we would show the position of a tooth encountering the cylinder after a tooth which has been engaged in the inside of the shell has passed out4 ,by following the instructions now given1 we can delineate a tooth in any of its relations with the cylinder shell4 ,,delineating ,,an ,,escape-,,wheel ,,tooth ,,while ,,in ,,action4 ,we will now go through the operation of delineating an escape-wheel tooth while in action4 ,the position we shall assume is the one in which the cylinder and escape-wheel tooth are in the relation of the passage of half the impulse face of the tooth into the cylinder4 ,to do this is simple enough3 ,we first produce the arcs a b c1 ,fig4 #acc1 as directed1 and then proceed to delineate a tooth as in previous instances4 ,to delineate our cylinder in the position we have assumed above1 we take the space between the points e d in our dividers and setting one leg at d establish the point g1 to represent the center of our cylinder4 ,if we then sweep the circle h from the center of g we define the inner surface of the shell of our cylinder4 ,strictly speaking1 we have not assumed the position we stated1 that is1 the impulse face of the tooth as passing half way into the cylinder4 ,to comply strictly with our statement1 we divide the chord of the impulse face of the tooth ,a into eight equal spaces1 as shown4 ,now as each of these spaces represent the thickness of the cylinder1 if we take in our dividers four of these spaces and half of another1 we have the radius of a circle passing the center of the cylinder shell4 ,consequently1 if with this space in our dividers we set the leg at d1 we establish on the arc b the point i4 ,we locate the center of our cylinder when one-half of an entering tooth has passed into the cylinder4 ,if now from the new center with our dividers set at four of the spaces into which we have divided the line e f we can sweep a circle representing the inner surface of the cylinder shell1 and by setting our dividers to five of these spaces we can1 from i as a center1 sweep an arc representing the outside of the cylinder shell4 ,for all purposes of practical study the delineation we show at ,fig4 #acc is to be preferred1 because1 if we carry out all the details we have described1 the lines would become confused4 ,we set our dividers at five of the spaces on the line e f and from g as a center sweep the circle j1 which delineates the outer surface of our cylinder shell4 ,let us now1 as we directed in our former instructions1 draw a flattened curve to represent the acting surface of the entrance lip of our cylinder as if it were in direct contact with the impulse face of the tooth4 ,to delineate the exit lip we draw from the center g1 ,fig4 #acd1 to the radial line g k1 said line passing through the point of contact between the tooth and entrance lip of the cylinder4 ,let us next continue this line on the opposite side of the point g1 as shown at g k'1 and we thus bisect the cylinder shell into two equal parts of #ahj degrees each4 ,as we previously explained1 the entire extent of the cylinder half shell is #aif degrees4 ,we now set our dividers to the radius of any convenient arc which we have divided into degrees1 and from g as a center sweep the short arc l l1 and from the intersection of this arc with the line g k' we lay off sixteen degrees on the said arc l and establish the point n1 from g as a center draw the radial line g n'4 ,take ten degrees from the same parent arc and establish the point m1 then draw the line g m'4 ,now the arc on the circles h j between the lines g n' and g m limits the extent of the exit lip of the cylinder and the arc between the lines g k' and g m' represents the locking surface of the cylinder shell4 ,illustration3 ,fig4 #acd ,to delineate the ,u arms we refer to ,fig4 #ace4 ,here1 again1 we draw the arc a b c and delineate a tooth as before4 ,from the point e located at the heel of the tooth we draw the radial line e e'4 ,from the point e we lay off on the arc a five degrees and establish the point p2 we halve this space and draw the short radial line p' s' and p s4 ,from the point e on the arc ,a we lay off twenty-four degrees and establish the point t1 which locates the heel of the next tooth in advance of ,a4 ,at two and a half degrees to the right of the point t we locate the point r and draw the short radial line r s4 ,on the arc b and half way between the lines p s and r s1 we establish the point u1 and from it as a center we sweep the arc v defining the curve of the ,u arms4 ,we have now given minute instructions for drawing a cylinder escapement in all its details except the extent of the banking slot of the cylinder1 which is usually made to embrace an angular extent of #bgj degrees2 consequently1 the pillar of the cylinder will not measure more than ninety degrees of angular extent4 ,there is no escapement constructed where carefully-made drawings tend more to perfect knowledge of the action than the cylinder4 ,but it is necessary with the pupil to institute a careful analysis of the actions involved4 ,in writing on a subject of this kind it is extremely perplexing to know when to stop2 not that there is so much danger of saying too much as there is not having the words read with attention4 ,as an illustration1 let us consider the subject of depth between the cylinder and the escape wheel4 ,as previously stated1 #aif degrees of cylinder shell should be employed2 but suppose we find a watch in which the half shell has had too much cut away1 so the tooth on entering the half shell after parting with the entrance lip does not strike dead on the inside of the shell1 but encounters the edge of the exit lip4 ,in this case the impulse of the balance would cause the tooth to slightly retrograde and the watch would go but would lack a good motion4 ,in such an instance a very slight advance of the chariot would remedy the fault--not perfectly remedy it1 but patch up1 so to speak--and the watch would run4 ,illustration3 ,fig4 #ace ,in this day1 fine cylinder watches are not made1 and only the common kind are met with1 and for this reason the student should familiarize himself with all the imaginary faults which could occur from bad construction4 ,the best way to do this is to delineate what he 7the student7 knows to be a faulty escapement1 as1 for instance1 a cylinder in which too much of the half shell is cut away2 but in every instance let the tooth be of the correct form4 ,then delineate an escapement in which the cylinder is correct but the teeth faulty2 also change the thickness of the cylinder shell1 so as to make the teeth too short4 ,this sort of practice makes the pupil think and study and he will acquire a knowledge which will never be forgotten1 but always be present to aid him in the puzzles to which the practical watchmaker is every day subject4 ,the ability to solve these perplexing problems determines in a great degree the worth of a man to his employer1 in addition to establishing his reputation as a skilled workman4 ,the question is frequently asked1 ,how can ,i profitably employ myself in spare time8 ,it would seem that a watchmaker could do no better than to carefully study matters horological1 striving constantly to attain a greater degree of perfection1 for by so doing his earning capacity will undoubtedly be increased4 ,,chapter ,,iii4 ,,the ,,chronometer ,,escapement4 ,undoubtedly the detent1 or1 as it is usually termed1 the chronometer escapement1 is the most perfect of any of our portable time measurers4 ,although the marine chronometer is in a sense a portable timepiece1 still it is not1 like a pocket watch1 capable of being adjusted to positions4 ,as we are all aware1 the detent escapement is used in fine pocket watches1 still the general feeling of manufacturers is not favorable to it4 ,much of this feeling no doubt is owing to the mechanical difficulties presented in repairing the chronometer escapements when the detent is broken1 and the fact that the spring detent could not be adjusted to position4 ,we shall have occasion to speak of position adjustments as relate to the chronometer escapement later on4 ,,advantages ,,of ,,the ,,chronometer4 ,we will proceed now to consider briefly the advantages the detent escapement has over all others4 ,it was soon discovered in constructing portable timepieces1 that to obtain the best results the vibrations of the balance should be as free as possible from any control or influence except at such times as it received the necessary impulse to maintain the vibrations at a constant arc4 ,this want undoubtedly led to the invention of the detent escapement4 ,the early escapements were all frictional escapements1 i4e41 the balance staff was never free from the influence of the train4 ,the verge escapement1 which was undoubtedly the first employed1 was constantly in contact with the escape wheel1 and was what is known as a recoiling beat1 that is1 the contact of the pallets actually caused the escape wheel to recoil or turn back4 ,such escapements were too much influenced by the train1 and any increase in power caused the timepiece to gain4 ,the first attempt to correct this imperfection led to the invention and introduction of the fusee1 which enabled the watchmaker to obtain from a coiled spring nearly equal power during the entire period of action4 ,the next step in advance was the dead-beat escapement1 which included the cylinder and duplex4 ,in these frictional escapements the balance staff locked the train while the balance performed its arc of vibration4 ,,frictional ,,escapements ,,in ,,high ,,favor4 ,these frictional escapements held favor with many eminent watchmakers even after the introduction of the detached escapements4 ,it is no more than natural we should inquire1 why8 ,the idea with the advocates of the frictional rest escapements was1 the friction of the tooth acted as a corrective1 and led no doubt to the introduction of going-barrel watches4 ,to illustrate1 suppose in a cylinder watch we increase the motive power1 such increase of power would not1 as in the verge escapement1 increase the rapidity of the vibrations2 it might1 in fact1 cause the timepiece to run slower from the increased friction of the escape-wheel tooth on the cylinder2 also1 in the duplex escapement the friction of the locking tooth on the staff retards the vibrations4 ,dr4 ,hooke1 the inventor of the balance spring1 soon discovered it could be manipulated to isochronism1 i4e41 so arcs of different extent would be formed in equal time4 ,of course1 the friction-rest escapement requiring a spring to possess different properties from one which would be isochronal with a perfectly detached escapement1 these two frictional escapements also differing1 the duplex requiring other properties from what would isochronize a spring for a cylinder escapement4 ,although pocket watches with duplex and cylinder escapements having balances compensated for heat and cold and balance springs adjusted to isochronism gave very good results1 careful makers were satisfied that an escapement in which the balance was detached and free to act during the greater proportion of the arc of vibration and uncontrolled by any cause1 would do still better1 and this led to the detent escapement4 ,,faults ,,in ,,the ,,detent ,,escapement4 ,as stated previously1 the detent escapement having pronounced faults in positions which held it back1 it is probable it would never have been employed in pocket watches to any extent if it had not acquired such a high reputation in marine chronometers4 ,let us now analyze the influences which surround the detent escapement in a marine chronometer and take account of the causes which are combined to make it an accurate time measurer1 and also take cognizance of other interfering causes which have a tendency to prevent desired results4 ,first1 we will imagine a balance with its spring such as we find in fine marine chronometers4 ,it has small pivots running in highly-polished jewels2 such pivots are perfectly cylindrical1 and no larger than are absolutely necessary to endure the task imposed upon them--of carrying the weight of the balance and endure careful handling4 ,to afford the necessary vibrations a spring is fitted1 usually of a helical form1 so disposed as to cause the balance to vibrate in arcs back and forth in equal time1 provided these arcs are of equal extent4 ,it is now to be taken note of that we have it at our disposal and option to make these arcs equal in time duration1 i4e41 to make the long or short arcs the quickest or to synchronize them4 ,we can readily comprehend we have now established a very perfect measure of short intervals of time4 ,we can also see if we provide the means of maintaining these vibrations and counting them we should possess the means of counting the flights of time with great accuracy4 ,the conditions which surround our balance are very constant1 the small pivots turning in fine hard jewels lubricated with an oil on which exposure to the action of the air has little effect1 leaves but few influences which can interfere with the regular action of our balance4 ,we add to the influences an adjustable correction for the disturbances of heat and cold1 and we are convinced that but little could be added4 ,,antagonistic ,,influences4 ,in this combination we have pitted two antagonistic forces against each other1 viz41 the elasticity of the spring and the weight and inertia of the balance2 both forces are theoretically constant and should produce constant results4 ,the mechanical part of the problem is simply to afford these two forces perfect facilities to act on each other and compel each to realize its full effect4 ,we must also devise mechanical means to record the duration of each conflict1 that is1 the time length of each vibration4 ,many years have been spent in experimenting to arrive at the best propositions to employ for the several parts to obtain the best practical results4 ,consequently1 in designing a chronometer escapement we must not only draw the parts to a certain form1 but consider the quality and weight of material to employ4 ,to illustrate what we have just said1 suppose1 in drawing an escape wheel1 we must not only delineate the proper angle for the acting face of the tooth1 but must also take cognizance of the thickness of the tooth4 ,by thickness we mean the measurement of extent of the tooth in the direction of the axis of the escape wheel4 ,an escape-wheel tooth might be of the best form to act in conveying power to the balance and yet by being too thin soon wear or produce excessive friction4 ,how thick an escape wheel should be to produce best results1 is one of the many matters settled only by actual workshop experience4 ,,factors ,,that ,,must ,,be ,,considered4 ,even this experience is in every instance modified by other influences4 ,to illustrate3 ,let us suppose in the ordinary to-day marine chronometer the escape-wheel teeth exerted a given average force1 which we set down as so many grains4 ,now1 if we should employ other material than hammer-hardened brass for an escape wheel it would modify the thickness2 also1 if we should decrease the motive power and increase the arc of impulse4 ,or1 if we should diminish the extent of the impulse arc and add to the motive force1 every change would have a controlling influence4 ,in the designs we shall employ1 it is our purpose to follow such proportions as have been adopted by our best makers1 in all respects1 including form1 size and material4 ,we would say1 however1 there has been but little deviation with our principal manufacturers of marine chronometers for the last twenty years as regards the general principle on which they were constructed1 the chief aim being to excel in the perfection of the several parts and the care taken in the several adjustments4 ,before we proceed to take up the details of constructing a chronometer escapement we had better master the names for the several parts4 ,we show at ,fig4 #acf a complete plan of a chronometer escapement as if seen from the back1 which is in reality the front or dial side of the top plate4 ,the chronometer escapement consists of four chief or principal parts1 viz43 ,the escape wheel1 a portion of which is shown at ,a2 the impulse roller ,b2 unlocking or discharging roller ,c1 and the detent ,d4 ,these principal parts are made up of sub-parts3 thus1 the escape wheel is composed of arms1 teeth1 recess and collet1 the recess being the portion of the escape wheel sunk1 to enable us to get wide teeth actions on the impulse pallet4 ,the collet is a brass bush on which the wheel is set to afford better support to the escape wheel than could be obtained by the thinned wheel if driven directly on the pinion arbor4 ,the impulse roller is composed of a cylindrical steel collet ,b1 the impulse pallet d 7some call it the impulse stone71 the safety recess b b4 ,the diameter of the impulse collet is usually one-half that of the escape wheel4 ,this impulse roller is staked directly on the balance staff1 and its perfection of position assured by resting against the foot of the shoulder to which the balance is secured4 ,this will be understood by inspecting ,fig4 #acg1 which is a vertical longitudinal section of a chronometer balance staff1 the lower side of the impulse roller being cupped out at c with a ball grinder and finished a ball polish4 ,illustration3 ,fig4 #acf ,illustration3 ,fig4 #acg ,it will be seen the impulse roller is staked flat against the hub ,e of the balance staff4 ,the unlocking roller1 or1 as it is also called1 the discharging roller1 ,c1 is usually thinner than the impulse roller and has a jewel similar to the impulse jewel a shown at f4 ,this roller is fitted by friction to the lower part of the balance staff and for additional security has a pipe or short socket e which embraces the balance staff at g4 ,the pipe e is usually flattened on opposite sides to admit of employing a special wrench for turning the discharging roller in adjusting the jewel for opening the escapement at the proper instant to permit the escape wheel to act on the impulse jewel a4 ,the parts which go to make up the detent ,d consist of the detent foot ,f1 the detent spring h1 the detent blade i1 the jewel pipe j1 the locking jewel 7or stone7 s1 the horn of the detent k1 the gold spring 7also called the auxiliary and lifting spring7 m4 ,this lifting or gold spring m should be made as light and thin as possible and stand careful handling4 ,we cannot impress on our readers too much the importance of making a chronometer detent light4 ,very few detents1 even from the hands of our best makers1 are as light as they might be4 ,we should in such construction have very little care for clumsy workmen who may have to repair such mechanism4 ,this feature should not enter into consideration4 ,we should only be influenced by the feeling that we are working for best results1 and it is acting under this influence that we devote so much time to establishing a correct idea of the underlying principles involved in a marine chronometer1 instead of proceeding directly to the drawing of such an escapement and give empirical rules for the length of this or the diameter of that4 ,as1 for instance1 in finishing the detent spring h1 suppose we read in text books the spring should be reduced in thickness1 so that a weight of one pennyweight suspended from the pipe j will deflect the detent 4 ,this is a rule well enough for people employed in a chronometer factory1 but for the horological student such fixed rules 7even if remembered7 would be of small use4 ,what the student requires is sound knowledge of the whys1 in order that he may be able to thoroughly master this escapement4 ,,functions ,,of ,,the ,,detent4 ,we can see1 after a brief analysis of the principles involved1 that the functions required of the detent ,d are to lock the escape wheel ,a and hold it while the balance performs its excursion1 and that the detent or recovering spring h must have sufficient strength and power to perform two functions3 7#a7 ,return the locking stone s back to the proper position to arrest and hold the escape wheel2 7#b7 the spring h must also be able to resist1 without buckling or cockling1 the thrust of the escape wheel1 represented by the arrows p o4 ,now we can readily understand that the lighter we make the parts i j k m1 the weaker the spring h can be4 ,you say1 perhaps1 if we make it too weak it will be liable to buckle under the pressure of the escape wheel2 this1 in turn1 will depend in a great measure on the condition of the spring h4 ,suppose we have it straight when we put it in position1 it will then have no stress to keep it pressed to the holding1 stop or banking screw1 which regulates the lock of the tooth4 ,to obtain this stress we set the foot ,f of the detent around to the position indicated by the dotted lines r and n1 and we get the proper tension on the detent spring to effect the lock1 or rather of the detent in time to lock the escape wheel2 but the spring h1 instead of being perfectly straight1 is bent and consequently not in a condition to stand the thrust of the escape wheel1 indicated by the arrows o p4 ,,obtaining ,,the ,,best ,,conditions4 ,now the true way to obtain the best conditions is to give the spring h a set curvature before we put it in place1 and then when the detent is in the proper position the spring h will have tension enough on it to bring the jewel s against the stop screw1 which regulates the lock1 and still be perfectly straight4 ,this matter is of so much importance that we will give further explanation4 ,suppose we bend the detent spring h so it is curved to the dotted line t1 ,fig4 #acf1 and then the foot ,f would assume the position indicated at the dotted line r4 ,we next imagine the foot ,f to be put in the position shown by the full lines1 the spring h will become straight again and in perfect shape to resist the thrust of the escape wheel4 ,little ways and methods like the above have long been known to the trade1 but for some reason are never mentioned in our text books4 ,a detent spring #b_/ajjj thick and #hj_/ajjj wide will stand the thrust for any well-constructed marine chronometer in existence1 and yet it will not require half a pennyweight to deflect it one-fourth of an inch4 ,it is a good rule to make the length of the detent from the foot ,f to the center of the locking jewel pipe j equal to the diameter of the escape wheel1 and the length of the detent spring h two-sevenths of this distance4 ,the length of the horn k is determined by the graphic plan and can be taken from the plotted plan4 ,the end1 however1 should approach as near to the discharging jewel as possible and not absolutely touch4 ,the discharging 7gold7 spring m is attached to the blade i of the detent with a small screw l cut in a ,no4 #ah hole of a ,swiss plate4 ,while there should be a slight increase in thickness in the detent blade at w1 where the gold spring is attached1 still it should be no more than to separate the gold spring m from the detent blade i4 ,,important ,,considerations4 ,it is important the spring should be absolutely free and not touch the detent except at its point of attachment at w and to rest against the end of the horn k1 and the extreme end of k1 where the gold spring rests1 should only be what we may term a dull or thick edge4 ,the end of the horn k 7shown at y7 is best made1 for convenience of elegant construction1 square--that is1 the part y turns at right angles to k and is made thicker than k and at the same time deeper2 or1 to make a comparison to a clumsy article1 y is like the head of a nail1 which is all on one side4 ,some makers bend the horn k to a curve and allow the end of the horn to arrest or stop the gold spring2 but as it is important the entire detent should be as light as possible1 the square end best answers this purpose4 ,the banking placed at j should arrest the detent as thrown back by the spring h at the point of percussion4 ,this point of percussion is a certain point in a moving mass where the greatest effort is produced and would be somewhere near the point x1 in a bar ,g turning on a pivot at z1 ,fig4 #ach4 ,it will be evident1 on inspection of this figure1 if the bar ,g was turning on the center z it would not give the hardest impact at the end v1 as parts of its force would be expended at the center z4 ,illustration3 ,fig4 #ach ,,decisions ,,arrived ,,at ,,by ,,experience4 ,experience has decided that the impulse roller should be about half the diameter of the escape wheel1 and experience has also decided that an escape wheel of fifteen teeth has the greatest number of advantages2 also1 that the balance should make #ad1djj vibrations in one hour4 ,we will accept these proportions and conditions as best1 from the fact that they are now almost universally adopted by our best chronometer makers4 ,although it would seem as if these proportions should have established themselves earlier among practical men1 we shall in these drawings confine ourselves to the graphic plan1 considering it preferable4 ,in the practical detail drawing we advise the employment of the scale given1 i4e41 delineating an escape wheel #aj in diameter4 ,the drawings which accompany the description are one-fourth of this size1 for the sake of convenience in copying4 ,with an escape wheel of fifteen teeth the impulse arc is exactly twenty-four degrees1 and of course the periphery of the impulse roller must intersect the periphery of the escape wheel for this arc 7#bd74 ,the circles ,a ,b1 ,fig4 #aci1 represent the peripheries of these two mobiles1 and the problem in hand is to locate and define the position of the two centers a c4 ,these1 of course1 are not separated1 the sum of the two radii1 i4e41 #e #b 7in the large drawing71 as these circles intersect1 as shown at d4 ,arithmetically considered1 the problem is quite difficult1 but graphically1 simple enough4 ,after we have swept the circle ,a with a radius of #e1 we draw the radial line a f1 said line extending beyond the circle ,a4 ,,locating ,,the ,,center ,,of ,,the ,,balance ,,staff4 ,somewhere on this line is located the center of the balance staff1 and it is the problem in hand to locate or establish this center4 ,now1 it is known the circles which define the peripheries of the escape wheel and the impulse roller intersect at e e#b4 ,we can establish on our circle ,a where these intersections take place by laying off twelve degrees1 one-half of the impulse arc on each side of the line of centers a f on this circle and establishing the points e e#b4 ,these points e e#b being located at the intersection of the circles ,a and ,b1 must be at the respective distances of #e and #b distance from the center of the circles ,a ,b2 consequently1 if we set our dividers at #b and place one leg at e and sweep the short arc g#b1 and repeat this process when one leg of the dividers is set at e#b1 the intersection of the short arcs g and g#b will locate the center of our balance staff4 ,we have now our two centers established1 whose peripheries are in the relation of #b to #a4 ,to know1 in the chronometer which we are supposed to be constructing1 the exact distance apart at which to plant the hole jewels for our two mobiles1 i4e41 escape wheel and balance staff1 we measure carefully on our drawing the distance from a to c 7the latter we having just established7 and make our statement in the rule of three1 as follows3 ,as 7#aj7 the diameter of drawn escape wheel is to our real escape wheel so is the measured distance on our drawing to the real distance in the chronometer we are constructing4 ,it is well to use great care in the large drawing to obtain great accuracy1 and make said large drawing on a sheet of metal4 ,this course is justified by the degree of perfection to which measuring tools have arrived in this day4 ,it will be found on measurement of the arc of the circle ,b1 embraced between the intersections e e#b1 that it is about forty-eight degrees4 ,how much of this we can utilize in our escapement will depend very much on the perfection and accuracy of construction4 ,illustration3 ,fig4 #aci ,we show at ,fig4 #adj three teeth of an escape wheel1 together with the locking jewel ,e and impulse jewel ,d4 ,now1 while theoretically we could commence the impulse as soon as the impulse jewel ,d was inside of the circle representing the periphery of the escape wheel1 still1 in practical construction1 we must allow for contingencies4 ,before it is safe for the escape wheel to attack the impulse jewel1 said jewel must be safely inside of said escape wheel periphery1 in order that the attacking tooth shall act with certainty and its full effect4 ,a good deal of thought and study can be bestowed to great advantage on the action of a chronometer escapement4 ,let us examine the conditions involved4 ,we show in ,fig4 #adj the impulse jewel ,d just passing inside the circle of the periphery of the escape wheel4 ,now the attendant conditions are these3 ,the escape wheel is locked fast and perfectly dead1 and in the effort of unlocking it has to first turn backward against the effort of the mainspring2 the power of force required for this effort is derived from the balance in which is stored up1 so to speak1 power from impulses imparted to the balance by former efforts of the escape wheel4 ,in actual fact1 the balance at the time the unlocking takes place is moving with nearly its greatest peripheral velocity and1 as stated above1 the escape wheel is at rest4 ,here comes a very delicate problem as regards setting the unlocking or discharging jewel4 ,let us first suppose we set the discharging jewel so the locking jewel frees its tooth at the exact instant the impulse jewel is inside the periphery of the escape wheel4 ,as just stated1 the escape wheel is not only dead but actually moving back at the time the release takes place4 ,now1 it is evident that the escape wheel requires an appreciable time to move forward and attack the impulse jewel1 and during this appreciable time the impulse jewel has been moving forward inside of the arc ,a ,a1 which represents the periphery of the escape wheel4 ,the proper consideration of this problem is of more importance in chronometer making than we might at first thought have imagined1 consequently1 we shall dwell upon it at some length4 ,,how ,,to ,,set ,,the ,,discharging ,,jewel4 ,illustration3 ,fig4 #adj ,theoretically1 the escape-wheel tooth should encounter the impulse jewel at the time--instant--both are moving with the same velocity4 ,it is evident then that there can be no special rule given for this1 i4e41 how to set the discharging jewel so it will free the tooth at exactly the proper instant1 from the fact that one chronometer train may be much slower in getting to move forward from said train being heavy and clumsy in construction4 ,let us make an experiment with a real chronometer in illustration of our problem4 ,to do so we remove our balance spring and place the balance in position4 ,if we start the balance revolving in the direction of the arrow y1 ,fig4 #adj1 it will cause the escapement to be unlocked and the balance to turn rapidly in one direction and with increasing velocity until1 in fact1 the escape wheel has but very little effect on the impulse jewel2 in fact1 we could1 by applying some outside source of power--like blowing with a blow pipe on the balance--cause the impulse jewel to pass in advance of the escape wheel2 that is1 the escape-wheel tooth would not be able to catch the impulse jewel during the entire impulse arc4 ,let us suppose1 now1 we set our unlocking or discharging jewel in advance1 that is1 so the escapement is really unlocked a little before the setting parts are in the positions and relations shown in ,fig4 #ada4 ,under the new conditions the escape wheel would commence to move and get sufficient velocity on it to act on the impulse jewel as soon as it was inside of the periphery of the escape wheel4 ,if the balance was turned slowly now the tooth of the escape wheel would not encounter the impulse jewel at all1 but fall into the passing hollow n2 but if we give the balance a high velocity1 the tooth would again encounter and act upon the jewel in the proper manner4 ,experienced adjusters of chronometers can tell by listening if the escape-wheel tooth attacks the impulse jewel properly1 i4e41 when both are moving with similar velocities4 ,the true sound indicating correct action is only given when the balance has its maximum arc of vibration1 which should be about #a revolutions1 or perform an arc of #bbe degrees on each excursion4 ,fig4 #adb is a side view of ,fig4 #ada seen in the direction of the arrow y4 ,we have mentioned a chariot to which the detent is attached1 but we shall make no attempt to show it in the accompanying drawings1 as it really has no relation to the problem in hand2 i4e41 explaining the action of the chronometer escapement1 as the chariot relates entirely to the convenience of setting and adjusting the relation of the second parts4 ,the size1 or better1 say1 the inside diameter of the pipe at ,c1 ,fig4 #adc1 which holds the locking jewel1 should be about one-third of a tooth space1 and the jewel made to fit perfectly4 ,usually1 jewelmakers have a tendency to make this jewel too frail1 cutting away the jewel back of the releasing angle 7n1 ,fig4 #adc7 too much4 ,a ,,good ,,form ,,of ,,locking ,,stone4 ,a very practical form for a locking stone is shown in transverse section at ,fig4 #adc4 ,in construction it is a piece of ruby1 or1 better1 sapphire cut to coincide to its axis of crystallization1 into first a solid cylinder nicely fitting the pipe ,c and finished with an after-grinding1 cutting away four-tenths of the cylinder1 as shown at ,i1 ,fig4 #adc4 ,here the line m represents the locking face of the jewel and the line o the clearance to free the escaping tooth1 the angle at n being about fifty-four degrees4 ,this angle 7n7 should leave the rounding of the stone intact1 that is1 the rounding of the angle should be left and not made after the flat faces m o are ground and polished4 ,the circular space at ,i is filled with an aluminum pin4 ,the sizes shown are of about the right relative proportions2 but we feel it well to repeat the statement made previously1 to the effect that the detent to a chronometer cannot well be made too light4 ,illustration3 ,fig4 #ada ,illustration3 ,fig4 #adb ,illustration3 ,fig4 #adc ,the so-called gold spring shown at ,h1 ,figs4 #ada and #adb1 should also be as light as is consistent with due strength and can be made of the composite metal used for gold filled goods1 as the only real benefit to be derived from employing gold is to avoid the necessity of applying oil to any part of the escapement4 ,if such gold metal is employed1 after hammering to obtain the greatest possible elasticity to the spring1 the gold is filed away1 except where the spring is acted upon by the discharging jewel h4 ,we have previously mentioned the importance of avoiding wide1 flat contacts between all acting surfaces1 like where the gold spring rests on the horn of the detent at p2 also where the detent banks on the banking screw1 shown at ,g1 ,fig4 #adb4 ,under this principle the impact of the face of the discharging jewel with the end of the gold spring should be confined to as small a surface as is consistent with what will not produce abrasive action4 ,the gold spring is shaped as shown at ,fig4 #adb and loses1 in a measure1 under the pipe of the locking jewel1 a little more than one-half of the pipe below the blade of the detent being cut away1 as shown in ,fig4 #adc1 where the lines r r show the extent of the part of the pipe which banks against the banking screw ,g4 ,in this place even1 only the curved surface of the outside of the pipe touches the screw ,g1 again avoiding contact of broad surfaces4 ,we show the gold spring separate at ,fig4 #add4 ,a slight torsion or twist is given to the gold spring to cause it to bend with a true curvature in the act of allowing the discharging pallet to pass back after unlocking4 ,if the gold spring is filed and stoned to the right flexure1 that is1 the thinnest point properly placed or1 say1 located1 the gold spring will not continue in contact with the discharging pallet any longer time or through a greater arc than during the process of unlocking4 ,to make this statement better understood1 let us suppose the weakest part of the gold spring ,h is opposite the arrow y1 ,fig4 #ada1 it will readily be understood the contact of the discharging stone h would continue longer than if the point of greatest 7or easiest7 flexure was nearer to the pipe ,c4 ,if the end ,d#b of the horn of the detent is as near as it should be to the discharging stone there need be no fear but the escapement will be unlocked4 ,the horn ,d#b of the detent should be bent until five degrees of angular motion of the balance will unlock the escape1 and the contact of discharging jewel h should be made without engaging friction4 ,this condition can be determined by observing if the jewel seems to slide up 7toward the pipe ,c7 on the gold spring after contact4 ,some adjusters set the jewel ,j1 ,figs4 #adc and #ada1 in such a way that the tooth rests close to the base2 such adjusters claiming this course has a tendency to avoid cockling or buckling of the detent spring ,e4 ,such adjusters also set the impulse jewel slightly oblique1 so as to lean on the opposite angle of the tooth4 ,our advice is to set both stones in places corresponding to the axis of the balance staff1 and the escape-wheel mobiles4 ,,the ,,detent ,,spring4 ,illustration3 ,fig4 #add ,it will be noticed we have made the detent spring ,e pretty wide and extended it well above the blade of the detent4 ,by shaping the detent in this way nearly all the tendency of the spring ,e to cockle is annulled4 ,we would beg to add to what we said in regard to setting jewels obliquely4 ,we are unable to understand the advantage of wide-faced stones and deep teeth when we do not take advantage of the wide surfaces which we assert are important4 ,we guarantee that with a detent and spring made as we show1 there will be no tendency to cockle1 or if there is1 it will be too feeble to even display itself4 ,those who have had extended experience with chronometers cannot fail to have noticed a gummy secretion which accumulates on the impulse and discharging stones of a chronometer1 although no oil is ever applied to them4 ,we imagine this coating is derived from the oil applied to the pivots1 which certainly evaporates1 passes into vapor1 or the remaining oil could not become gummy4 ,we would advise1 when setting jewels 7we mean the locking1 impulse and discharging jewels71 to employ no more shellac than is absolutely necessary1 depending chiefly on metallic contact for security4 ,,details ,,of ,,construction4 ,we will now say a few words about the number of beats to the hour for a box or marine chronometer to make to give the best results4 ,experience shows that slow but most perfect construction has settled that #ad1djj1 or four vibrations of the balance to a second1 as the proper number1 the weight of balance1 including balance proper and movable weights1 to be about #e pennyweights1 and the compensating curb about #a-b_/aj in diameter4 ,the escape wheel1 #ee_/ajj in diameter and recessed so as to be as light as possible1 should have sufficient strength to perform its functions properly4 ,the thickness or1 more properly1 the face extent of the tooth1 measured in the direction of the axis of the escape wheel1 should be about #a_/bj4 ,the recessing should extend half way up the radial back of the tooth at t4 ,the curvature of the back of the teeth is produced with the same radii as the impulse roller4 ,to locate the center from which the arc which defines the back of the teeth is swept1 we halve the space between the teeth ,a#b and a#d and establish the point n1 ,fig4 #ada1 and with our dividers set to sweep the circle representing the impulse roller1 we sweep an arc passing the point of the tooth ,a#c and u1 thus locating the center w4 ,from the center k of the escape wheel we sweep a complete circle1 a portion of which is represented by the arc w v4 ,for delineating other teeth we set one leg of our dividers to agree with the point of the tooth and the other leg on the circle w v and produce an arc like z u4 ,,original ,,designing ,,of ,,the ,,escapement4 ,on delineating our chronometer escapement shown at ,fig4 #ada we have followed no text-book authority1 but have drawn it according to such requirements as are essential to obtain the best results4 ,an escapement of any kind is only a machine1 and merely requires in its construction a combination of sound mechanical principles4 ,neither ,saunier nor ,britten1 in their works1 give instructions for drawing this escapement which will bear close analysis4 ,it is not our intention1 however1 to criticise these authors1 except we can present better methods and give correct systems4 ,,tangential ,,lockings4 ,it has been a matter of great contention with makers of chronometer and also lever escapements as to the advantages of tangential lockings4 ,by this term is meant a locking the same as is shown at ,c1 ,fig4 #ada1 and means a detent planted at right angles to a line radial to the escape-wheel axis1 said radial line passing through the point of the escape-wheel tooth resting on the locking jewel4 ,in escapements not set tangential1 the detent is pushed forward in the direction of the arrow x about half a tooth space4 ,britten1 in his ,hand-,book1 gives a drawing of such an escapement4 ,we claim the chief advantage of tangential locking to lie in the action of the escape-wheel teeth1 both on the impulse stone and also on the locking stone of the detent4 ,saunier1 in his ,modern ,horology1 gives the inclination of the front fan of the escape-wheel teeth as being at an angle of twenty-seven degrees to a radial line4 ,britten says twenty degrees1 and also employs a non-tangential locking4 ,our drawing is on an angle of twenty-eight degrees1 which is as low as is safe1 as we shall proceed to demonstrate4 ,for establishing the angle of an escape-wheel tooth we draw the line ,c d1 from the point of the escape-wheel tooth resting on the locking stone shown at ,c at an angle of twenty-eight degrees to radial line ,c k4 ,we have already discussed how to locate and plant the center of the balance staff4 ,we shall not show in this drawing the angular motion of the escape wheel1 but delineate at the radial lines c e and c f of the arc of the balance during the extent of its implication with the periphery of the escape wheel1 which arc is one of about forty-eight degrees4 ,of this angle but forty-three degrees is attempted to be utilized for the purpose of impulse1 five degrees being allowed for the impulse jewel to pass inside of the arc of periphery of the escape wheel before the locking jewel releases the tooth of the escape wheel resting upon it4 ,at this point it is supposed the escape wheel attacks the impulse jewel1 because1 as we just explained1 the locking jewel has released the tooth engaging it4 ,now1 if the train had no weight1 no inertia to overcome1 the escape wheel tooth ,a#b would move forward and attack the impulse pallet instantly2 but1 in fact1 as we have already explained1 there will be an appreciable time elapse before the tooth overtakes the rapidly-moving impulse jewel4 ,it will1 of course1 be understood that the reference letters used herein refer to the illustrations that have appeared on preceding pages4 ,if we reason carefully on the matter1 we will readily comprehend that we can move the locking jewel1 i4e41 set it so the unlocking will take place in reality before the impulse jewel has passed through the entire five degrees of arc embraced between the radial lines c e and c g1 ,fig4 #ada1 and yet have the tooth attack the jewel after the five degrees of arc4 ,in practice it is safe to set the discharging jewel h so the release of the held tooth ,a#a will take place as soon as the tooth ,a#b is inside the principal line of the escape wheel4 ,as we previously explained1 the contact between ,a#b and the impulse jewel i would not in reality occur until the said jewel i had fully passed through the arc 7five degrees7 embraced between the radial lines c e and c g4 ,at this point we will explain why we drew the front fan of the escape-wheel teeth at the angle of twenty-eight degrees4 ,if the fan of impulse jewel i is set radial to the axis of the balance1 the engagement of the tooth ,a#b would be at a disadvantage if it took place prior to this jewel passing through an arc of five degrees inside the periphery of the escape wheel4 ,it will be evident on thought that if an escape-wheel tooth engaged the impulse stone before the five-degrees angle had passed1 the contact would not be on its flat face1 but the tooth would strike the impulse jewel on its outer angle4 ,a continued inspection will also reveal the fact that in order to have the point of the tooth engage the flat surface of the impulse pallet the impulse jewel must coincide with the radial line c g4 ,if we seek to remedy this condition by setting the impulse jewel so the face is not radial1 but inclined backward1 we encounter a bad engaging friction1 because1 during the first part of the impulse action1 the tooth has to slide up the face of the impulse jewel4 ,all things considered1 the best action is obtained with the impulse jewel set so the acting face is radial to the balance staff and the engagement takes place between the tooth and the impulse jewel when both are moving with equal velocities1 i4e41 when the balance is performing with an arc 7or motion7 of #a revolutions or #bbe degrees each way from a point of rest4 ,under such conditions the actual contact will not take place before some little time after the impulse jewel has passed the five-degree arc between the lines c e and c g4 ,,the ,,drop ,,and ,,draw ,,considered4 ,exactly how much drop must be allowed from the time the tooth leaves the impulse jewel before the locking tooth engages the locking jewel will depend in a great measure on the perfection of workmanship1 but should in no instance be more than what is absolutely required to make the escapement safe4 ,the amount of draw given to the locking stone c is usually about twelve degrees to the radial line k a4 ,much of the perfection of the chronometer escapement will always depend on the skill of the escapement adjuster and not on the mechanical perfection of the parts4 ,the jewels all have to be set by hand after they are made1 and the distance to which the impulse jewel protrudes beyond the periphery of the impulse roller is entirely a matter for hand and eye1 but should never exceed #b_/ajjj4 ,after the locking jewel c is set1 we can set the foot ,f of the detent ,d forward or back1 to perfect and correct the engagement of the escape-wheel teeth with the impulse roller ,b4 ,if we set this too far forward1 the tooth ,a#c will encounter the roller while the tooth ,a#b will be free4 ,we would beg to say here there is no escape wheel made which requires the same extreme accuracy as the chronometer1 as the tooth spaces and the equal radial extent of each tooth should be only limited by our powers toward perfection4 ,it is usual to give the detent a locking of about two degrees2 that is1 it requires about two degrees to open it1 counting the center of fluxion of the detent spring ,e and five degrees of balance arc4 ,,fitting ,,up ,,of ,,the ,,foot4 ,several attempts have been made by chronometer makers to have the foot ,f adjustable2 that is1 so it could be moved back and forth with a screw1 but we have never known of anything satisfactory being accomplished in this direction4 ,about the best way of fitting up the foot ,f seems to be to provide it with two soft iron steady pins 7shown at j7 with corresponding holes in the chariot1 said holes being conically enlarged so they 7the pins7 can be bent and manipulated so the detent not only stands in the proper position as regards the escape wheel1 but also to give the detent spring ,e the proper elastic force to return in time to afford a secure locking to the arresting tooth of the escape wheel after an impulse has been given4 ,if these pins j are bent properly by the adjuster1 whoever afterwards cleans the chronometer needs only to gently push the foot ,f forward so as to cause the pins j to take the correct positions as determined by the adjuster and set the screw l up to hold the foot ,f when all the other relations are as they should be1 except such as we can control by the screw ,g1 which prevents the locking jewel from entering too deeply into the escape wheel4 ,in addition to being a complete master of the technical part of his business1 it is also desirable that the up-to-date workman should be familiar with the subject from a historical point of view4 ,to aid in such an understanding of the matter we have translated from ,l',almanach de l',horologerie et de la ,bijouterie the matter contained in the following chapter4 ,,chapter ,,iv4 ,,history ,,of ,,escapements4 ,it could not have been long after man first became cognizant of his reasoning faculties that he began to take more or less notice of the flight of time4 ,the motion of the sun by day and of the moon and stars by night served to warn him of the recurring periods of light and darkness4 ,by noting the position of these stellar bodies during his lonely vigils1 he soon became proficient in roughly dividing up the cycle into sections1 which he denominated the hours of the day and of the night4 ,primitive at first1 his methods were simple1 his needs few and his time abundant4 ,increase in numbers1 multiplicity of duties1 and division of occupation began to make it imperative that a more systematic following of these occupations should be instituted1 and with this end in view he contrived1 by means of burning lights or by restricting the flowing of water or the falling of weights1 to subdivide into convenient intervals and in a tolerably satisfactory manner the periods of light4 ,these modest means then were the first steps toward the exact subdivisions of time which we now enjoy4 ,unrest1 progress1 discontent with things that be1 we must acknowledge1 have1 from the appearance of the first clock to the present hour1 been the powers which have driven on the inventive genius of watch and clockmakers to designate some new and more acceptable system for regulating the course of the movement4 ,in consequence of this restless search after the best1 a very considerable number of escapements have been invented and made up1 both for clocks and watches2 only a few1 however1 of the almost numberless systems have survived the test of time and been adopted in the manufacture of the timepiece as we know it now4 ,indeed1 many such inventions never passed the experimental stage1 and yet it would be very interesting to the professional horologist1 the apprentice and even the layman to become more intimately acquainted with the vast variety of inventions made upon this domain since the inception of horological science4 ,undoubtedly1 a complete collection of all the escapements invented would constitute a most instructive work for the progressive watchmaker1 and while we are waiting for a competent author to take such an exhaustive work upon his hands1 we shall endeavor to open the way and trust that a number of voluntary collaborators will come forward and assist us to the extent of their ability in filling up the chinks4 ,,problems ,,to ,,be ,,solved4 ,the problem to be solved by means of the escapement has always been to govern1 within limits precise and perfectly regular1 if it be possible1 the flow of the motive force2 that means the procession of the wheel-work and1 as a consequence1 of the hands thereto attached4 ,at first blush it seems as if a continually-moving governor1 such as is in use on steam engines1 for example1 ought to fulfil the conditions1 and attempts have accordingly been made upon this line with results which have proven entirely unsatisfactory4 ,having thoroughly sifted the many varieties at hand1 it has been finally determined that the only means known to provide the most regular flow of power consists in intermittently interrupting the procession of the wheel-work1 and thereby gaining a periodically uniform movement4 ,whatever may be the system or kind of escapement employed1 the functioning of the mechanism is characterized by the suspension1 at regular intervals1 of the rotation of the last wheel of the train and in transmitting to a regulator1 be it a balance or a pendulum1 the power sent into that wheel4 ,,escapement ,,the ,,most ,,essential ,,part4 ,of all the parts of the timepiece the escapement is then the most essential2 it is the part which assures regularity in the running of the watch or clock1 and that part of parts that endows the piece with real value4 ,the most perfect escapement would be that one which should perform its duty with the least influence upon the time of oscillation or vibration of the regulating organ4 ,the stoppage of the train by the escapement is brought about in different ways1 which may be gathered under three heads or categories4 ,in the two which we shall mention first1 the stop is effected directly upon the axis of the regulator1 or against a piece which forms a part of that axis2 the tooth of the escape wheel at the moment of its disengagement remains supported upon or against that stop4 ,in the first escapement invented and1 indeed1 in some actually employed to-day for certain kinds of timekeepers1 we notice during the locking a retrograde movement of the escape wheel2 to this kind of movement has been given the name of recoil escapement4 ,it was recognized by the fraternity that this recoil was prejudicial to the regularity of the running of the mechanism and1 after the invention of the pendulum and the spiral1 inventive makers succeeded in replacing this sort of escapement with one which we now call the dead-beat escapement4 ,in this latter the wheel1 stopped by the axis of the regulator1 remains immovable up to the instant of its disengagement or unlocking4 ,in the third category have been collected all those forms of escapement wherein the escape wheel is locked by an intermediate piece1 independent of the regulating organ4 ,this latter performs its vibrations of oscillation quite without interference1 and it is only in contact with the train during the very brief moment of impulse which is needful to keep the regulating organ in motion4 ,this category constitutes what is known as the detached escapement class4 ,of the recoil escapement the principal types are3 the verge escapement or crown-wheel escapement for both watches and clocks1 and the recoil anchor escapement for clocks4 ,the cylinder and duplex escapements for watches and the ,graham anchor escapement for clocks are styles of the dead-beat escapement most often employed4 ,among the detached escapements we have the lever and detent or chronometer escapements for watches2 for clocks there is no fixed type of detached lever and it finds no application to-day4 ,,the ,,verge ,,escapement4 ,the verge escapement1 called also the crown-wheel escapement1 is by far the simplest and presents the least difficulty in construction4 ,we regret that the world does not know either the name of its originator nor the date at which the invention made its first appearance1 but it seems to have followed very closely upon the birth of mechanical horology4 ,up to #agej it was employed to the exclusion of almost all the others4 ,in #ahej a very large part of the ordinary commercial watches were still fitted with the verge escapement1 and it is still used under the form of recoil anchor in clocks1 eighty years after the invention of the cylinder escapement1 or in #ahjb4 ,ferdinand ,berthoud1 in his ,history of the ,measurement of ,time1 says of the balance-wheel escapement3 ,since the epoch of its invention an infinite variety of escapements have been constructed1 but the one which is employed in ordinary watches for every-day use is still the best4 ,in referring to our illustrations1 we beg first to call attention to the plates marked ,figs4 #ade and #adf4 ,this plate gives us two views of a verge escapement2 that is1 a balance wheel and a verge formed by its two opposite pallets4 ,the views are intentionally presented in this manner to show that the verge ,v may be disposed either horizontally1 as in ,fig4 #adf1 or vertically1 as in ,fig4 #ade4 ,illustration3 ,figs4 #ade and #adf ,illustration3 ,fig4 #adg ,let us imagine that our drawing is in motion1 then will the tooth d1 of the crown wheel ,r1 be pushing against the pallet ,p1 and just upon the point of slipping by or escaping1 while the opposite tooth e is just about to impinge upon the advancing pallet ,p'4 ,this it does1 and will at first1 through the impulse received from the tooth d be forced back by the momentum of the pallet1 that is1 suffer a recoil2 but on the return journey of the pallet ,p'1 the tooth e will then add its impulse to the receding pallet4 ,the tooth e having thus accomplished its mission1 will now slip by and the tooth c will come in lock with the pallet ,p and1 after the manner just described for e1 continue the escapement4 ,usually these escape wheels are provided with teeth to the number of #aa1 #ac or #ae1 and always uneven4 ,a great advantage possessed by this form of escapement is that it does not require any oil1 and it may be made to work even under very inferior construction4 ,,oldest ,,arrangement ,,of ,a ,,crown-,,wheel ,,escapement4 ,illustration3 ,fig4 #adh ,plate #adg shows us the oldest known arrangement of a crown-wheel escapement in a clock4 ,r is the crown wheel or balance wheel acting upon the pallets ,p and ,p'1 which form part of the verge ,v4 ,this verge is suspended as lightly as possible upon a pliable cord ,c and carries at its upper end two arms1 ,b and ,b1 called adjusters1 forming the balance4 ,two small weights ,d ,d1 adapted to movement along the rules or adjusters serve to regulate the duration of a vibration4 ,in ,fig4 #adh we have the arrangement adopted in small timepieces and watches3 ,b represents the regulator in the form of a circular balance1 but not yet furnished with a spiral regulating spring2 c is the last wheel of the train and called the fourth wheel1 it being that number distant from the great wheel4 ,as will be seen1 the verge provided with its pallets is vertically placed1 as in the preceding plate4 ,illustration3 ,fig4 #adi ,here it will quickly be seen that regarded from the standpoint of regularity of motion1 this arrangement can be productive of but meager results4 ,subjected as it is to the influence of the slightest variation in the motive power and of the least jar or shaking1 a balance wheel escapement improvided with a regulator containing within itself a regulating force1 could not possibly give forth anything else than an unsteady movement4 ,however1 mechanical clocks fitted with this escapement offer indisputable advantages over the ancient clepsydra2 in spite of their imperfections they rendered important services1 especially after the striking movement had been added4 ,for more than three centuries both this crude escapement and the cruder regulator were suffered to continue in this state without a thought of improvement2 even in #afjj1 when ,galileo discovered the law governing the oscillation of the pendulum1 they did not suspect how important this discovery was for the science of time measurement4 ,,galileo',s ,,experiments4 ,illustration3 ,fig4 #aej ,galileo1 himself1 in spite of his genius for investigation1 was so engrossed in his researches that he could not seem to disengage the simple pendulum from the compound pendulums to which he devoted his attention2 besides1 he attributed to the oscillation an absolute generality of isochronism1 which they did not possess2 nor did he know how to apply his famous discovery to the measurement of time4 ,in fact1 it was not till after more than half a century had elapsed1 in #afeg1 to be exact1 that the celebrated ,dutch mathematician and astronomer1 ,huygens1 published his memoirs in which he made known to the world the degree of perfection which would accrue to clocks if the pendulum were adopted to regulate their movement4 ,illustration3 ,fig4 #aea ,an attempt was indeed made to snatch from ,huygens and confer upon ,galileo the glory of having first applied the pendulum to a clock1 but this attempt not having been made until some time after the publication of ,huygens' ,memoirs1 it was impossible to place any faith in the contention4 ,if ,galileo had indeed solved the beautiful problem1 both in the conception and the fact1 the honor of the discovery was lost to him by the laziness and negligence of his pupil1 ,viviani1 upon whom he had placed such high hopes4 ,one thing is certain1 that the right of priority of the discovery and the recognition of the entire world has been incontestably bestowed upon ,huygens4 ,the escapement which ,galileo is supposed to have conceived and to which he applied the pendulum1 is shown in ,fig4 #adi4 ,the wheel ,r is supplied with teeth1 which lock against the piece ,d attached to a lever pivoted at a1 and also with pins calculated to impart impulses to the pendulum through the pallet ,p4 ,the arm ,l serves to disengage or unlock the wheel by lifting the lever ,d upon the return oscillation of the pendulum4 ,illustration3 ,fig4 #aeb ,illustration3 ,fig4 #aec ,a careful study of ,fig4 #aej will discover a simple transposition which it became necessary to make in the clocks1 for the effectual adaptation of the pendulum to their regulation4 ,the verge ,v was set up horizontally and the pendulum ,b1 suspended freely from a flexible cord1 received the impulses through the intermediation of the forked arm ,f1 which formed a part of the verge4 ,at first this forked arm was not thought of1 for the pendulum itself formed a part of the verge4 ,a far-reaching step had been taken1 but it soon became apparent that perfection was still a long way off4 ,the crown-wheel escapement forcibly incited the pendulum to wider oscillations2 these oscillations not being as ,galileo had believed1 of unvaried durations1 but they varied sensibly with the intensity of the motive power4 ,,the ,,attainment ,,of ,,isochronism ,,by ,,huygens4 ,huygens rendered his pendulum isochronous2 that is1 compelled it to make its oscillations of equal duration1 whatever might be the arc described1 by suspending the pendulum between two metallic curves c c'1 each one formed by an arc of a cycloid and against which the suspending cord must lie upon each forward or backward oscillation4 ,we show this device in ,fig4 #aea4 ,in great oscillations1 and by that we mean oscillations under a greater impulse1 the pendulum would thus be shortened and the shortening would correct the time of the oscillation4 ,however1 the application of an exact cycloidal arc was a matter of no little difficulty1 if not an impossibility in practice1 and practical men began to grope about in search of an escapement which would permit the use of shorter arcs of oscillation4 ,at ,london the horologist1 ,g4 ,clement1 solved the problem in #afge with his rack escapement and recoil anchor4 ,in the interval other means were invented1 especially the addition of a second pendulum to correct the irregularities of the first4 ,such an escapement is pictured in ,fig4 #aeb4 ,the verge is again vertical and carries near its upper end two arms ,d ,d1 which are each connected by a cord with a pendulum4 ,the two pendulums oscillate constantly in the inverse sense the one to the other4 ,illustration3 ,fig4 #aed ,illustration3 ,fig4 #aee ,,another ,,two-,,pendulum ,,escapement4 ,we show another escapement with two pendulums in ,fig4 #aec4 ,these are fixed directly upon two axes1 each one carrying a pallet ,p ,p' and a segment of a toothed wheel ,d ,d1 which produces the effect of solidarity between them4 ,the two pendulums oscillate inversely one to the other1 and one after the other receives an impulse4 ,this escapement was constructed by ,jean ,baptiste ,dutertre1 of ,paris4 ,fig4 #aed shows another disposition of a double pendulum4 ,while the pendulum here is double1 it has but one bob2 it receives the impulse by means of a double fork ,f4 ,c ,c represents the cycloidal curves and are placed with a view of correcting the inequality in the duration of the oscillations4 ,in watches the circular balances did not afford any better results than the regulating rods or rules of the clocks1 and the pendulum1 of course1 was out of the question altogether2 it therefore became imperative to invent some other regulating system4 ,illustration3 ,fig4 #aef ,illustration3 ,fig4 #aeg ,it occured to the ,abb d',hautefeuille to form a sort of resilient mechanism by attaching one end of a hog's bristle to the plate and the other to the balance near the axis4 ,though imperfect in results1 this was nevertheless a brilliant idea1 and it was but a short step to replace the bristle with a straight and very flexible spring1 which later was supplanted by one coiled up like a serpent2 but in spite of this advancement1 the watches did not keep much better time4 ,harrison1 the celebrated ,english horologist1 had recourse to two artifices1 of which the one consisted in giving to the pallets of the escapement such a curvature that the balance could be led back with a velocity corresponding to the extension of the oscillation2 the second consisted of an accessory piece1 the resultant action of which was analogous to that of the cycloidal curves in connection with the pendulum4 ,,correcting ,,irregularities ,,in ,,the ,,verge ,,escapement4 ,huygens attempted to correct these irregularities in the verge escapement in watches by amplifying the arc of oscillation of the balance itself4 ,he constructed for that purpose a pirouette escapement shown in ,fig4 #aee1 in which a toothed wheel ,a adjusted upon the verge ,v serves as an intermediary between that and the balance ,b1 upon the axis of which was fixed a pinion ,d4 ,by this method he obtained extended arcs of vibration1 but the vibrations were1 as a consequence1 very slow1 and they still remained subject to all the irregularities arising from the variation in the motive power as well as from shocks4 ,a little later1 but about the same epoch1 a certain ,dr4 ,hook1 of the ,royal ,society of ,london1 contrived another arrangement by means of which he succeeded1 so it appeared to him at least1 in greatly diminishing the influence of shock upon the escapement2 but many other1 perhaps greater1 inconveniences caused his invention to be speedily rejected4 ,we shall give our readers an idea of what ,dr4 ,hook's escapement was like4 ,illustration3 ,fig4 #aeh ,illustration3 ,fig4 #aei ,on looking at ,fig4 #aef we see the escape wheel ,r1 which was flat and in the form of a ratchet2 it was provided with two balances4 ,b ,b engaging each other in teeth1 each one carrying a pallet ,p ,p' upon its axis2 the axes of the three wheels being parallel4 ,now1 in our drawing1 the tooth a of the escape wheel exerts its lift upon the pallet ,p'2 when this tooth escapes the tooth b will fall upon the pallet ,p' on the opposite side1 a recoil will be produced upon the action of the two united balances1 then the tooth b will give its impulse in the contrary direction4 ,considerable analogy exists between this form of escapement and that shown in ,fig4 #aec and intended for clocks4 ,this was the busy era in the watchmaker's line4 ,all the great heads were pondering upon the subject and everyone was on the qui vive for the newest thing in the art4 ,in #afgd ,huygens brought out the first watch having a regulating spring in the form of a spiral2 the merit of this invention was disputed by the ,english savant1 ,dr4 ,hook1 who pretended1 as did ,galileo1 in the application of the pendulum1 to have priority in the idea4 ,huygens1 who had discovered and corrected the irregularities in the oscillations of the pendulum1 did not think of those of the balance with the spiral spring4 ,and it was not until the close of the year #agej that ,pierre ,le ,roy and ,ferdinand ,berthoud studied the conditions of isochronism pertaining to the spiral4 ,,an ,,invention ,,that ,,created ,,much ,,enthusiasm4 ,however that may be1 this magnificent invention1 like the adaptation of the pendulum1 was welcomed with general enthusiasm throughout the scientific world3 without spiral and without pendulum1 no other escapement but the recoil escapement was possible2 a new highway was thus opened to the searchers4 ,the water clocks 7clepsydr7 and the hour glasses disappeared completely1 and the timepieces which had till then only marked the hours1 having been perfected up to the point of keeping more exact time1 were graced with the addition of another hand to tell off the minutes4 ,illustration3 ,fig4 #afj ,illustration3 ,fig4 #afa ,it was not until #afie that the first dead-beat escapement appeared upon the scene2 during the interval of over twenty years all thought had been directed toward the one goal1 viz43 the perfecting of the verge escapement2 but practice demonstrated that no other arrangement of the parts was superior to the original idea4 ,for the benefit of our readers we shall give a few of these attempts at betterment1 and you may see for yourselves wherein the trials failed4 ,fig4 #aeg represents a verge escapement with a ratchet wheel1 the pallets ,p ,p' being carried upon separate axes4 ,the two axes are rigidly connected1 the one to the other1 by means of the arms o o'4 ,one of the axes carries besides the fork ,f1 which transmits the impulse to the pendulum ,b4 ,in the front view1 at the right of the plate1 for the sake of clearness the fork and the pendulum are not shown1 but one may easily see the jointure of the arms o o' and their mode of operation4 ,another very peculiar arrangement of the verge escapement we show at ,fig4 #aeh4 ,in this there are two wheels1 one1 ,r'1 a small one in the form of a ratchet2 the other1 ,r1 somewhat larger1 called the balance wheel1 but being supplied with straight and slender teeth4 ,the verge ,v carrying the two pallets is pivoted in the vertical diameter of the larger wheel4 ,the front view shows the modus operandi of this combination1 which is practically the same as the others4 ,the tooth a of the large wheel exerts its force upon the pallet ,p1 and the tooth b of the ratchet will encounter the pallet ,p'4 ,this pallet1 after suffering its recoil1 will receive the impulse communicated by the tooth b4 ,this escapement surely could not have given much satisfaction1 for it offers no advantage over the others1 besides it is of very difficult construction4 ,illustration3 ,fig4 #afb ,illustration3 ,fig4 #afc ,,ingenious ,,attempts ,,at ,,solution ,,of ,a ,,difficult ,,problem4 ,much ingenuity to a worthy end1 but of little practical value1 is displayed in these various attempts at the solution of a very difficult problem4 ,in ,fig4 #aei we have a mechanism combining two escape wheels engaging each other in gear2 of the two wheels1 ,r ,r'1 one alone is driven directly by the train1 the other being turned in the opposite direction by its comrade4 ,both are furnished with pins c c'1 which act alternately upon the pallets ,p ,p' disposed in the same plane upon the verge ,v and pivoted between the wheels4 ,our drawing represents the escapement at the moment when the pin ,c' delivers its impulse1 and this having been accomplished1 the locking takes place upon the pin ,c of the other wheel upon the pallet ,p'4 ,another system of two escape wheels is shown in ,fig4 #afj1 but in this case the two wheels ,r ,r are driven in a like direction by the last wheel ,a of the train4 ,the operation of the escapement is the same as in ,fig4 #aei4 ,illustration3 ,fig4 #afd ,illustration3 ,fig4 #afe ,in ,fig4 #afa we have a departure from the road ordinarily pursued4 ,here we see an escapement combining two levers1 invented by the ,chevalier de ,bthune and applied by ,m4 ,thiout1 master-horologist1 at ,paris in #agbg4 ,p ,p' are the two levers or pallets separately pivoted4 ,upon the axis ,v1 of the lever ,p1 is fixed a fork which communicates the motion to the pendulum4 ,the two levers are intimately connected by the two arms ,b ,b'1 of which the former carries an adjusting screw1 a well-conceived addition for regulating the opening between the pallets4 ,the counter-weight ,c compels constant contact between the arms ,b ,b'4 ,the function is always the same1 the recoil and the impulsion operate upon the two pallets simultaneously4 ,this escapement enjoyed a certain degree of success1 having been employed by a number of horologists who modified it in various ways4 ,,various ,,modifications ,some of these modifications we shall show4 ,for the first example1 then1 let ,fig4 #afb illustrate4 ,in this arrangement the fork is carried upon the axis of the pallet ,p'1 which effectually does away with the counter-weight ,c1 as shown4 ,somewhat more complicated1 but of the same intrinsic nature1 is the arrangement displayed in ,fig4 #afc4 ,we should not imagine that it enjoyed a very extensive application4 ,here the two levers are completely independent of each other2 they act upon the piece ,b ,b upon the axis ,v of the fork4 ,the counter-weights ,c ,c' maintain the arms carrying the rollers ,d ,d' in contact with the piece ,b ,b' which thus receives the impulse from the wheel ,r4 ,two adjusting screws serve to place the escapement upon the center4 ,by degrees these fantastic constructions were abandoned to make way for the anchor recoil escapement1 which was invented1 as we have said1 in #afge1 by ,g4 ,clement1 a horologist1 of ,london4 ,in ,fig4 #afd we have the disposition of the parts as first arranged by this artist4 ,here the pallets are replaced by the inclines ,a and ,b of the anchor1 which is pivoted at ,v upon an axis to which is fixed also the fork4 ,the tooth a escapes from the incline or lever ,a1 and the tooth b immediately rests upon the lever ,b2 by the action of the pendulum the escape wheel suffers a recoil as in the pallet escapement1 and on the return of the pendulum the tooth c gives out its impulse in the contrary direction4 ,with this new system it became possible to increase the weight of the bob and at the same time lessen the effective motor power4 ,the travel of the pendulum1 or arc of oscillation1 being reduced in a marked degree1 an accuracy of rate was obtained far superior to that of the crown-wheel escapement4 ,however1 this new application of the recoil escapement was not adopted in ,france until #afie4 ,illustration3 ,fig4 #aff ,illustration3 ,fig4 #afg ,the travel of the pendulum1 though greatly reduced1 still surpassed in breadth the arc in which it is isochronous1 and repeated efforts were made to give such shape to the levers as would compel its oscillation within the arc of equal time2 a motion which is1 as was recognized even at that epoch1 the prime requisite to a precise rating4 ,thus1 in #agbj1 ,julien ,leroy occupied himself working out the proper shapes for the inclines to produce this desired isochronism4 ,searching along the same path1 ,ferd4 ,berthoud constructed an escapement represented by the ,fig4 #afe4 ,in it we see the same inclines ,a ,b of the former construction1 but the locking is effected against the slides ,c and ,d1 the curved faces of which produce isochronous oscillations of the pendulum4 ,the tooth b imparts its lift and the tooth c will lock against the face ,c2 after having passed through its recoil motion this tooth c will butt against the incline ,a and work out its lift or impulse upon it4 ,,the ,,gable ,,escapement4 ,illustration3 ,fig4 #afh ,illustration3 ,fig4 #afi ,the gable escapement1 shown in ,fig4 #aff1 allows the use of a heavier pendulum1 at the same time the anchor embraces within its jaws a greater number of the escape-wheel teeth2 an arrangement after this manner leads to the conclusion that with these long levers of the anchor the friction will be considerably increased and the recoil faces will1 as a consequence1 be quickly worn away4 ,without doubt1 this was invented to permit of opening and closing the contact points of the anchor more easily4 ,under the name of the ,english recoil anchor there came into use an escapement with a reduced gable1 which embraced fewer teeth between the pallets or inclines2 we give a representation of this in ,fig4 #afg4 ,this system seems to have been moderately successful4 ,the anchor recoil escapement in use in ,germany to-day is demonstrated in ,fig4 #afh2 this arrangement is also found in the ,american clocks4 ,as we see1 the anchor is composed of a single piece of curved steel bent to the desired curves4 ,clocks provided with this escapement keep reasonably good time2 the resistance of the recoils compensate in a measure for the want of isochronism in the oscillations of the pendulum4 ,ordinary clocks require considerably more power to drive them than finer clocks and1 as a consequence1 their ticking is very noisy4 ,several means have been employed to dampen this noise1 one of which we show in ,fig4 #afi4 ,illustration3 ,fig4 #agj ,here the anchor is composed of two pieces1 ,a ,b1 screwed upon a plate ,h pivoting at ,v4 ,in their arrangement the two pieces represent1 as to distance and curvature1 the counterpart of ,fig4 #afh4 ,at the moment of impact their extreme ends recoil or spring back from the shock of the escape teeth1 but the resiliency of the metal is calculated to be strong enough to return them immediately to the contact studs e e4 ,as a termination to this chapter1 we shall mention the use made at the present day of the recoil lever escapement in repeating watches4 ,we give a diagram of this construction in ,fig4 #agj4 ,the lever here is intended to restrain and regulate the motion of the small striking work4 ,it is pivoted at ,v and is capable of a very rapid oscillatory motion1 the arc of which may1 however1 be fixed by the stud or stop ,d1 which limits the swing of the fly ,c4 ,this fly is of one piece with the lever and1 together with the stud ,d1 determines the angular motion of the lever4 ,if the angle be large that means the path of the fly be long1 then the striking train will move slowly2 but if the teeth of the escape wheel ,r can just pass by without causing the lever to describe a supplementary or extended arc1 the striking work will run off rapidly4 ,,chapter ,v4 ,,putting ,,in ,a ,,new ,,cylinder4 ,putting in a new cylinder is something most watchmakers fancy they can do1 and do well2 but still it is a job very few workmen can do and fulfill all the requirements a job of this kind demands under the ever-varying conditions and circumstances presented in repairs of this kind4 ,it is well to explain somewhat at this point3 ,suppose we have five watches taken in with broken cylinders4 ,out of this number probably two could be pivoted to advantage and make the watches as good as ever4 ,as to the pivoting of a cylinder1 we will deal with this later on4 ,the first thing to do is to make an examination of the cylinder1 not only to see if it is broken1 but also to determine if pivoting is going to bring it out all right4 ,let us imagine that some workman has1 at some previous time1 put in a new cylinder1 and instead of putting in one of the proper size he has put one in too large or too small4 ,now1 in either case he would have to remove a portion of the escape-wheel tooth1 that is1 shorten the tooth3 because1 if the cylinder was too large it would not go in between the teeth1 and consequently the teeth would have to be cut or stoned away4 ,if the cylinder was too small1 again the teeth would have to be cut away to allow them to enter the cylinder4 ,all workmen have traditions1 rules some call them1 that they go by in relation to the right way to dress a cylinder tooth2 some insisting that the toe or point of the tooth is the only place which should be tampered with4 ,other workmen insist that the heel of the tooth is the proper place4 ,now1 with all due consideration1 we would say that in ninety-nine cases out of a hundred the proper thing to do is to let the escape-wheel teeth entirely alone4 ,as we can understand1 after a moment's thought1 that it is impossible to have the teeth of the escape wheel too long and have the watch run at all2 hence1 the idea of stoning a cylinder escape-wheel tooth should not be tolerated4 ,,escape-,,wheel ,,teeth vs4 ,,cylinder4 ,it will not do1 however1 to accept1 and take it for granted that the escape-wheel teeth are all right1 because in many instances they have been stoned away and made too short2 but if we accept this condition as being the case1 that is1 that the escape-wheel teeth are too short1 what is the workman going to do about it8 ,the owner of the watch will not pay for a new escape wheel as well as a new cylinder4 ,the situation can be summed up about in this way1 that we will have to make the best we can out of a bad job1 and pick out and fit a cylinder on a compromise idea4 ,in regard to picking out a new cylinder1 it may not do to select one of the same size as the old one1 from the fact that the old one may not have been of the proper size for the escape wheel1 because1 even in new1 cheap watches1 the workmen who run in the escapement knew very well the cylinder and escape wheel were not adapted for each other1 but they were the best he had4 ,chapter ,,ii1 on the cylinder escapement1 will enable our readers to master the subject and hence be better able to judge of allowances to be made in order to permit imperfect material to be used4 ,in illustration1 let us imagine that we have to put in a new cylinder1 and we have none of precisely the proper size1 but we have them both a mere trifle too large and too small1 and the question is which to use4 ,our advice is to use the smaller one if it does not require the escape-wheel teeth to be dressed1 that is1 made smaller4 ,why we make this choice is based on the fact that the smaller cylinder shell gives less friction1 and the loss from drop--that is1 side play between the escape-wheel teeth and the cylinder--will be the same in both instances except to change the lost motion from inside to outside drop4 ,in devising a system to be applied to selecting a new cylinder1 we meet the same troubles encountered throughout all watchmakers' repair work1 and chief among these are good and convenient measuring tools4 ,but even with perfect measuring tools we would have to exercise good judgment1 as just explained4 ,in ,chapter ,,ii we gave a rule for determining the outside diameter of a cylinder from the diameter of the escape wheel2 but such rules and tables will1 in nine instances out of ten1 have to be modified by attendant circumstances--as1 for instance1 the thickness of the shell of the cylinder1 which should be one-tenth of the outer diameter of the shell1 but the shell is usually thicker4 ,a tolerably safe practical rule and one also depending very much on the workman's good judgment is1 when the escape-wheel teeth have been shortened1 to select a cylinder giving ample clearance inside the shell to the tooth1 but by no means large enough to fill the space between the teeth4 ,after studying carefully the instructions just given we think the workman will have no difficulty in selecting a cylinder of the right diameter4 ,,measuring ,,the ,,heights4 ,the next thing is to get the proper heights4 ,this is much more easily arrived at3 the main measurement being to have the teeth of the escape wheel clear the upper face of the lower plug4 ,in order to talk intelligently we will make a drawing of a cylinder and agree on the proper names for the several parts to be used in this chapter4 ,such drawing is shown at ,fig4 #aga4 ,the names are3 ,the hollow cylinder1 made up of the parts ,a ,a' ,a'' ,a'''1 called the shell--,a is the great shell1 ,a' the half shell1 ,a'' the banking slot1 and ,a''' the small shell4 ,the brass part ,d is called the collet and consists of three parts--the hairspring seat ,d1 the balance seat ,d' and the shoulder ,d''1 against which the balance is riveted4 ,illustration3 ,fig4 #aga ,the first measurement for fitting a new cylinder is to determine the height of the lower plug face1 which corresponds to the line x x1 ,fig4 #aga4 ,the height of this face is such as to permit the escape wheel to pass freely over it4 ,in selecting a new cylinder it is well to choose one which is as wide at the banking slot ,a'' as is consistent with safety4 ,the width of the banking slot is represented by the dotted lines x u4 ,the dotted line v represents the length to which the lower pivot y is to be cut4 ,illustration3 ,fig4 #agb ,illustration3 ,fig4 #agc ,there are several little tools on the market used for making the necessary measurements1 but we will describe a very simple one which can readily be made4 ,to do so1 take about a ,no4 #e sewing needle and1 after annealing1 cut a screw thread on it1 as shown at ,fig1 #agb1 where ,e represents the needle and t t the screw cut upon it4 ,after the screw is cut1 the needle is again hardened and tempered to a spring temper and a long1 thin pivot turned upon it4 ,the needle is now shaped as shown at ,fig4 #agc4 ,the pivot at s should be small enough to go easily through the smallest hole jewel to be found in cylinder watches1 and should be about #a_/af long4 ,the part at r should be about #c_/af long and only reduced in size enough to fully remove the screw threads shown at t4 ,illustration3 ,fig4 #agd ,illustration3 ,fig4 #age ,illustration3 ,fig4 #agf ,illustration3 ,fig4 #agg ,we next provide a sleeve or guard for our gage4 ,to do this we take a piece of hard brass bushing wire about long and1 placing it in a wire chuck1 center and drill it nearly the entire length1 leaving1 say1 #a_/aj at one end to be carried through with a small drill4 ,we show at ,f1 ,fig4 #agd1 a magnified longitudinal section of such a sleeve4 ,the piece ,f is drilled from the end l up to the line q with a drill of such a size that a female screw can be cut in it to fit the screw on the needle1 and ,f is tapped out to fit such a screw from l up to the dotted line p4 ,the sleeve ,f is run on the screw t and now appears as shown at ,fig4 #age1 with the addition of a handle shown at ,g ,g'4 ,it is evident that we can allow the pivot s to protrude from the sleeve ,f any portion of its length1 and regulate such protrusion by the screw t4 ,to employ this tool for getting the proper length to which to cut the pivot y1 ,fig4 #aga1 we remove the lower cap jewel to the cylinder pivot and1 holding1 the movement in the left hand1 pass the pivot s1 ,fig4 #age1 up through the hole jewel1 regulate the length by turning the sleeve ,f until the arm of the escape wheel ,i1 ,fig4 #agf1 will just turn free over it4 ,now the length of the pivot s1 which protrudes beyond the sleeve ,f1 coincides with the length to which we must cut the pivot y1 ,fig4 #aga4 ,to hold a cylinder for reducing the length of the pivot y1 we hold said pivot in a pair of thin-edged cutting pliers1 as shown at ,fig4 #agg1 where ,n ,n' represent the jaws of a pair of cutting pliers and y the pivot to be cut4 ,the measurement is made by putting the pivot s between the jaws ,n ,n' as they hold the pivot4 ,the cutting is done by simply filing back the pivot until of the right length4 ,,turning ,,the ,,pivots4 ,we have now the pivot y of the proper length1 and what remains to be done is to turn it to the right size4 ,we do not think it advisable to try to use a split chuck1 although we have seen workmen drive the shell ,a ,a''' out of the collet ,d and then turn up the pivots y z in said wire chuck4 ,to our judgment there is but one chuck for turning pivots1 and this is the cement chuck provided with all ,american lathes4 ,many workmen object to a cement chuck1 but we think no man should lay claim to the name of watchmaker until he masters the mystery of the cement chuck4 ,it is not such a very difficult matter1 and the skill once acquired would not be parted with cheaply4 ,one thing has served to put the wax or cement chuck into disfavor1 and that is the abominable stuff sold by some material houses for lathe cement4 ,the original cement1 made and patented by ,james ,bottum for his cement chuck1 was made up of a rather complicated mixture2 but all the substances really demanded in such cement are ultramarine blue and a good quality of shellac4 ,these ingredients are compounded in the proportion of #h parts of shellac and #a part of ultramarine--all by weight4 ,,how ,,to ,,use ,a ,,cement ,,chuck4 ,the shellac is melted in an iron vessel1 and the ultramarine added and stirred to incorporate the parts4 ,care should be observed not to burn the shellac4 ,while warm1 the melted mass is poured on to a cold slab of iron or stone1 and while plastic made into sticks about in diameter4 ,illustration3 ,fig4 #agh ,illustration3 ,fig4 #agi ,we show at ,fig4 #agh a side view of the outer end of a cement chuck with a cylinder in position4 ,we commence to turn the lower pivot of a cylinder1 allowing the pivot z to rest at the apex of the hollow cone a1 as shown4 ,there is something of a trick in turning such a hollow cone and leaving no tit or protuberance in the center1 but it is important it should be done4 ,a little practice will soon enable one to master the job4 ,a graver for this purpose should be cut to rather an oblique point1 as shown at ,l1 ,fig4 #agi4 ,the slope of the sides to the recess a1 ,fig4 #agh1 should be to about forty-five degrees1 making the angle at a about ninety degrees4 ,the only way to insure perfect accuracy of centering of a cylinder in a cement chuck is center by the shell1 which is done by cutting a piece of pegwood to a wedge shape and letting it rest on the ,t-rest2 then hold the edge of the pegwood to the cylinder as the lathe revolves and the cement soft and plastic4 ,a cylinder so centered will be absolutely true4 ,the outline curve at c1 ,fig4 #agh1 represents the surface of the cement4 ,the next operation is turning the pivot to the proper size to fit the jewel4 ,this is usually done by trial1 that is1 trying the pivot into the hole in the jewel4 ,a quicker way is to gage the hole jewel and then turn the pivot to the right size1 as measured by micrometer calipers4 ,in some cylinder watches the end stone stands at some distance from the outer surface of the hole jewel2 consequently1 if the measurement for the length of the pivot is taken by the tool shown at ,fig4 #age1 the pivot will apparently be too short4 ,when the lower end stone is removed we should take note if any allowance is to be made for such extra space4 ,the trouble which would ensue from not providing for such extra end shake would be that the lower edge of the half shell1 shown at e1 ,fig4 #aga1 would strike the projection on which the stalk of the tooth is planted4 ,after the lower pivot is turned to fit the jewel the cylinder is to be removed from the cement chuck and the upper part turned4 ,the measurements to be looked to now are1 first1 the entire length of the cylinder1 which is understood to be the entire distance between the inner faces of the two end stones1 and corresponds to the distance between the lines v d1 ,fig4 #aga4 ,this measurement can be got by removing both end stones and taking the distance with a ,boley gage or a douzieme caliper4 ,a ,,convenient ,,tool ,,for ,,length ,,measurement4 ,illustration3 ,fig4 #ahj ,a pair of common pinion calipers slightly modified makes as good a pair of calipers for length measurement as one can desire4 ,this instrument is made by inserting a small screw in one of the blades--the head on the inner side1 as shown at f1 ,fig4 #ahj4 ,the idea of the tool is1 the screw head f rests in the sink of the cap jewel or end stone1 while the other blade rests on the cock over the balance4 ,after the adjusting screw to the caliper is set1 the spring of the blades allows of their removal4 ,the top pivot z of the cylinder is next cut to the proper length1 as indicated by the space between the screwhead f and the other blade of the pinion caliper4 ,the upper pinion z is held in the jaws of the cutting pliers1 as shown in ,fig4 #agg1 the same as the lower one was held1 until the proper length between the lines d v1 ,fig4 #aga1 is secured1 after which the cylinder is put back into the cement chuck1 as shown at ,fig4 #agh1 except this time the top portion of the cylinder is allowed to protrude so that we can turn the top pivot and the balance collet ,d1 ,fig4 #aga4 ,the sizes we have now to look to is to fit the pivot z to the top hole jewel in the cock1 also the hairspring seat ,d and balance seat ,d'4 ,these are turned to diameters1 and are the most readily secured by the use of the micrometer calipers to be had of any large watchmakers' tool and supply house4 ,in addition to the diameters named1 we must get the proper height for the balance1 which is represented by the dotted line b4 ,the measurement for this can usually be obtained from the old cylinder by simply comparing it with the new one as it rests in the cement chuck4 ,the true tool for such measurements is a height gage4 ,we have made no mention of finishing and polishing the pivots1 as these points are generally well understood by the trade4 ,,removing ,,the ,,lathe ,,cement4 ,one point perhaps we might well say a few words on1 and this is in regard to removing the lathe cement4 ,such cement is usually removed by boiling in a copper dish with alcohol4 ,but there are several objections to the practice4 ,in the first place1 it wastes a good deal of alcohol1 and also leaves the work stained4 ,we can accomplish this operation quicker1 and save alcohol1 by putting the cylinder with the wax on it in a very small homeopathic bottle and corking it tight4 ,the bottle is then boiled in water1 and in a few seconds the shellac is dissolved away4 ,the balance to most cylinder watches is of red brass1 and in some instances of low karat gold2 in either case the balance should be repolished4 ,to do this dip in a strong solution of cyanide of potassium dissolved in water2 one-fourth ounce of cyanide in half pint of water is about the proper strength4 ,dip and rinse1 then polish with a chamois buff and rouge4 ,illustration3 ,fig4 #aha ,in staking on the balance1 care should be observed to set the banking pin in the rim so it will come right2 this is usually secured by setting said pin so it stands opposite to the opening in the half shell4 ,the seat of the balance on the collet ,d should be undercut so that there is only an edge to rivet down on the balance4 ,this will be better understood by inspecting ,fig4 #aha1 where we show a vertical section of the collet ,d and cylinder ,a4 ,at g g is shown the undercut edge of the balance seat1 which is folded over as the balance is rivetted fast4 ,about all that remains now to be done is to true up the balance and bring it to poise4 ,the practice frequently adopted to poise a plain balance is to file it with a half-round file on the inside1 in order not to show any detraction when looking at the outer edge of the rim4 ,a better and quicker plan is to place the balance in a split chuck1 and with a diamond or round-pointed tool scoop out a little piece of metal as the balance revolves4 ,in doing this1 the spindle of the lathe is turned by the hand grasping the pulley between the finger and thumb4 ,the so-called diamond and round-pointed tools are shown at o o'1 ,fig4 #ahb4 ,the idea of this plan of reducing the weight of a balance is1 one of the tools o is rested on the ,t-rest and pressed forward until a chip is started and allowed to enter until sufficient metal is engaged1 then1 by swinging down on the handle of the tool1 the chip is taken out4 ,illustration3 ,fig4 #ahb ,illustration3 ,fig4 #ahc ,in placing a balance in a step chuck1 the banking pin is caused to enter one of the three slots in the chuck1 so as not to be bent down on to the rim of the balance4 ,it is seldom the depth between the cylinder and escape wheel will need be changed after putting in a new cylinder2 if such is the case1 however1 move the chariot--we mean the cock attached to the lower plate4 ,do not attempt to change the depth by manipulating the balance cock4 ,fig4 #ahc shows1 at h h1 the form of chip taken out by the tool o o'1 ,fig4 #ahb4 ,,index ,a ,acid frosting1 #df ,action drawings1 #ij ,action of a chronometer escapement1 #adb ,acting surface of entrance lip1 #abg ,actions of cylinder escapement1 #aab ,adhesion of parallel surfaces1 #id ,adjustable pallets1 #ih ,adjusting screw for drawing instruments1 #ba ,analysis of principles involved in detent1 #acg ,analysis of the action of a lever escapement1 #hf ,angle-measuring device1 #fh ,angular extent of shell of cylinder1 #abb ,angular motion1 drawing an escapement to show1 #ia ,how measured1 #fi ,of escape wheel1 #cg ,antagonistic influences1 #acc ,arc of degrees1 #i ,atmospheric disturbances1 #gd ,attainment of isochronism1 #aei ,b ,balance1 how it controls timekeeping1 #gc ,weight and inertia of1 #acc ,balance spring1 inventor of1 #acb ,banking slot of cylinder1 #aab ,bankings1 effect of opening too wide1 #fc ,bar compasses1 #ba ,barometric pressure1 #gd ,basis for close measurements1 #if ,c ,cement chuck1 how to use1 #agc ,chronometer detent1 importance of light construction1 #acf ,chronometer escapement1 #aca1 #aee ,four principal parts of1 #acd ,circular pallets1 #bg ,club-tooth escapement1 #cj1 #cd ,club-tooth lever escapement with circular pallets and tangential lockings1 #hc ,crown-wheel escapement1 #aee ,cylinder1 drawing a1 #abj ,outer diameter of1 #aaf ,putting in a new1 #afi ,cylinder escapement1 #aee ,date of invention1 etc41 #aaa ,forms and proportions of several parts of1 #aaa ,names of various parts1 #aab ,cylinder lips1 proper shape of1 #abd ,d ,dead-beat escapement1 #aca1 #ace ,only one true1 #aab ,depth1 between cylinder and escape wheel1 #abi ,effect of changing1 #agf ,designing a double roller1 #gg ,detached escapement1 #aee ,detent1 functions of the1 #acg ,detent escapement1 #aca1 #aee ,faults in1 #acb ,detent spring dimensions1 #ach ,detent springs1 width of1 #adg ,discharging jewel1 setting the1 #adb ,discharging roller1 #acf ,dividers1 #i ,making1 #aj ,double pendulum1 #afj ,double-roller escapement1 #ge ,draw defined1 #he ,drawing-board1 #aa ,drawing instruments1 #i ,drawings1 advantage of large1 #bi ,drop and draw1 #aej ,duplex escapement1 #aca1 #aee ,e ,elasticity of spring1 #acc ,engaging friction1 #ha ,english recoil anchor1 #afg ,entrance lip of cylinder escapement1 #abe ,escapement angles1 measuring1 #aja ,escapement error1 study of1 #fd ,escapement matching tool1 #ajf ,escapement model1 #dj ,balance1 #db ,balance staff1 #dd ,bridges1 #da1 #db ,escape wheel1 #dc ,extra balance cock1 #de ,frosting1 #df ,hairspring1 #db ,jewel for1 #dc ,lower plate1 #da ,main plate1 #da ,movement for1 #da ,pallet staff1 #db ,pillars1 #dc ,regulator1 #df ,uses of1 #dd ,wood base for1 #da ,escapements compared1 #ajc ,escapement of ,dutertre1 #afj ,escape-wheel action1 #cj ,escape-wheel1 delineating an1 #aa ,escape-wheel teeth vs4 cylinder1 #afi ,escape-wheel tooth in action1 delineating an1 #abf ,exit pallet1 #bf ,experiments of ,galileo1 #aeh ,experiments with a chronometer1 #adb ,extent of angular impulse1 #aah ,f ,fall defined1 #ajf ,faults in the detent escapement1 #acb ,fixed rules1 of little value to student1 #acg ,flexure of gold spring1 #adf ,foot1 fitting up the1 #aea ,fork1 testing the1 #ga ,fork action1 #cj ,theory of1 #ei ,fork and roller action1 #ed ,formulas for delineating cylinder escapement1 #aae ,frictions1 #bd ,frictional escapement1 #aca1 #acb ,frictional surfaces1 #fc ,fusee1 #aca ,g ,gable escapement1 #afg ,gage1 a new1 #agb ,graham anchor escapement1 #aee ,gold spring1 #adf ,guard point1 #gi ,material for1 #gi ,gummy secretion on impulse and discharging stones1 #adg ,h ,heights in cylinders1 how obtained1 #aga ,hole jewels1 distance apart1 #adj ,i ,imaginary faults in cylinders1 #abi ,impulse angle1 #aah ,impulse arc1 extent of1 #acd ,impulse jewel set oblique1 #adg ,impulse planes1 locating outer angle of1 #ci ,impulse roller1 #acf ,incline of teeth1 #abb ,inertia of balance1 #acc ,inventions of ,berthoud1 #afc ,bthune1 #afe ,clement1 #aff ,dr4 ,hook1 #afb ,harrison1 #afa ,hautefeuille1 #afa ,huygens1 #aeh ,leroy1 #afc ,thiout1 #afe ,j ,jewel pin1 determining size1 #eh ,cementing in1 #fg ,settings1 #ff ,jewel-pin setters1 #fg ,l ,lathe cement1 #agc ,removing1 #age ,lever1 proper length of1 #fa ,lever fork1 horn of1 #fa prongs of1 #fj ,lift1 real and apparent1 #aab ,lifting angle1 #aad ,lock1 amount of1 #bh ,defined1 #he ,lock and drop testing1 #fi ,locking jewel1 moving the1 #adi ,locking stone1 good form of1 #add ,lower plate1 circular opening in1 #ef ,m ,marine chronometer1 number of beats to hour1 #adh ,mathematics1 #ie ,measuring tools1 #aga ,metal drawings1 advantages of1 #adj ,motion1 how obtained1 #af ,movement holder1 #aaj ,n ,neutral lockings1 #hd ,o ,original designing1 #adh ,p ,pallet action1 locating the1 #ij ,pallet-and-fork action1 #ab1 #ac1 #ag1 #ah ,pallet stones1 how to set1 #ajd ,pallets1 adjusting to match the fork1 #fe ,paper for drawing1 #aa ,parts1 relations of the1 #cb ,passing hollow1 #fb ,perfected lever escapement1 #hg ,pivots1 turning1 #agb ,point of percussion1 #aci ,points for drawing instruments1 #bj ,polishing materials1 #eb ,power leaks1 #af ,power lost in lever escapement1 #hg ,practical problems in the lever escapement1 #ih ,r ,radial extent of outside of cylinder1 #abe ,ratchet-tooth escape wheel1 #ab ,recoil anchor escapement1 #aee ,recoil escapement1 #aed ,reduced gable escapement1 #afg ,retrograde motion1 #cf ,roller action1 why #cj degrees1 #ee ,of double roller1 #gh ,roller diameter1 determining the1 #ee ,ruling pen1 #i ,s ,safety action1 #ef ,scale of inches1 #i ,screws1 making extra large1 #de ,screwheads1 fancy1 #de ,selecting new cylinder1 #agj ,shaping1 advantages gained in1 #aaf ,sheet steel1 cutting1 #dh ,short fork1 #ajj ,sound as indicator of correct action1 #add ,spring1 elasticity of1 #acc ,staking on a balance1 #age ,steel1 polishing1 #di ,tempering1 #di ,study drawings1 #abd ,systems of measurements1 #aad ,t ,tangential lockings1 #hj1 #adh ,test gage for angular movement1 #fe ,theoretical action of double roller1 #gf ,timekeeping1 controlled by balance1 #gc ,tool for length measurement1 #agd ,tools1 measuring1 #aga ,triangle1 #ah ,t-square1 #i ,u ,unlocking action1 #ef ,unlocking roller1 #acf ,v ,verge escapement1 #aca1 #aee ,w ,weight and inertia of balance1 #acc ,working model of cylinder escapement1 #abc 99 99 99 99 99 99 ,,the ,,watch ,,adjuster',s ,,manual ,illustration ,a ,complete and ,practical ,guide for ,watchmakers in ,adjusting ,watches and ,chronometers for ,isochronism1 ,position1 ,heat and ,cold4 ,,by ,,charles ,,edgar ,,fritts 7,,excelsior71 ,author of ,practical ,hints on ,watch ,repairing1 ,practical ,treatise on ,balance ,spring1 ,electricity and ,magnetism for ,watchmakers1 etc41 etc4 ,this well-known work is now recognized as the standard authority on the adjustments and kindred subjects1 both here and in ,england4 ,it contains an exhaustive consideration of the various theories proposed1 the mechanical principles on which the adjustments are based1 and the different methods followed in actual practice1 giving all that is publicly known in the trade1 with a large amount of entirely new practical matter not to be found elsewhere1 obtained from the best manufacturers and workmen1 as well as from the author's own studies and experiences4 ,sent postpaid to any part of the world on receipt of #b4ej 7#ajs4 #e;d47 ,,the ,,keystone 7,,sole ,,agent71 #ai,,th ,,and ,,brown ,,streets1 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,the ,,art ,,of ,,engraving ,illustration ,a ,complete ,treatise on the ,engraver's ,art1 with ,special ,reference to ,letter and ,monogram ,engraving4 ,specially ,compiled as a ,standard ,text-,book for ,students and a ,reliable ,reference ,book for ,engravers4 ,this work is the only thoroughly reliable and exhaustive treatise published on this important subject4 ,it is an ideal text-book1 beginning with the rudiments and leading the student step by step to a complete and practical mastery of the art4 ,back of the authorship is a long experience as a successful engraver1 also a successful career as an instructor in engraving4 ,these qualifications ensure accuracy and reliability of matter1 and such a course of instruction as is best for the learner and qualified engraver4 ,the most notable feature of the new treatise is the instructive character of the illustrations4 ,there are over #bjj original illustrations by the author4 ,a very complete index facilitates reference to any required topic4 ,bound in ,silk ,cloth--#bjh ,pages and #baf ,illustrations4 ,sent postpaid to any part of the world on receipt of price1 #a4ej 7#fs4 #c;d47 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,the ,,keystone ,,portfolio ,,of ,,monograms ,illustration3 ,c4,b4,r4 ,illustration3 ,a4,o4,u4,w ,illustration3 ,i4,r4,c4 ,illustration3 ,g4,h4,i4 ,this portfolio contains #aba combination designs4 ,these designs were selected from the best of those submitted in a prize competition held by ,the ,keystone1 and will be found of value to every one doing engraving4 ,the designs are conceded to be the best in the market1 excelling in art and novelty of combination and skill in execution4 ,they are printed from steel plates on stiff1 durable paper1 and contain sample monograms in a variety of combinations4 ,the portfolio is a bench requirement that no jeweler can afford to be without4 ,it is a necessary supplement to any text-book on letter engraving4 ,price1 #ej ,cents 7#bs47 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,the ,,optician',s ,,manual ,,vol4 ,i4 ,,by ,c4,h4 ,,brown1 ,m4,d4 ,graduate ,university of ,pennsylvania2 ,professor of ,optics and ,refraction2 formerly ,physician in ,philadelphia ,hospital2 ,member of ,philadelphia ,county1 ,pennsylvania ,state and ,american ,medical ,societies4 ,illustration ,the ,optician's ,manual1 ,vol4 ,i41 has proved to be the most popular work on practical refraction ever published4 ,the knowledge it contains has been more effective in building up the optical profession than any other educational factor4 ,a study of it is essential to an intelligent appreciation of ,vol4 ,,ii41 for it lays the foundation structure of all optical knowledge1 as the titles of its ten chapters show3 ,chapter ,i4--,introductory ,remarks4 ,chapter ,,ii4--,the ,eye ,anatomically4 ,chapter ,,iii4--,the ,eye ,optically2 or1 ,the ,physiology of ,vision4 ,chapter ,,iv4--,optics4 ,chapter ,v4--,lenses4 ,chapter ,,vi4--,numbering of ,lenses4 ,chapter ,,vii4--,the ,use and ,value of ,glasses4 ,chapter ,,viii4--,outfit ,required4 ,chapter ,,ix4--,method of ,examination4 ,chapter ,x4--,presbyopia4 ,the ,optician's ,manual1 ,vol4 ,i41 is complete in itself1 and has been the entire optical education of many successful opticians4 ,for student and teacher it is the best treatise of its kind1 being simple in style1 accurate in statement and comprehensive in its treatment of refractive procedure and problems4 ,it merits the place of honor beside ,vol4 ,,ii4 in every optical library4 ,bound in ,cloth--#dbb pages--colored plates and ,illustrations4 ,sent postpaid on receipt of #b4jj 7#hs4 #d;d47 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,the ,,optician',s ,,manual ,,vol4 ,,ii4 ,,by ,c4,h4 ,,brown1 ,m4,d4 ,graduate ,university of ,pennsylvania2 ,professor of ,optics and ,refraction2 formerly ,physician in ,philadelphia ,hospital2 ,member of ,philadelphia ,county1 ,pennsylvania ,state and ,american ,medical ,societies4 ,illustration ,the ,optician's ,manual1 ,vol4 ,,ii41 is a direct continuation of ,the ,optician's ,manual1 ,vol4 ,i41 being a much more advanced and comprehensive treatise4 ,it covers in minutest detail the four great subdivisions of practical eye refraction1 viz3 ,myopia4 ,hypermetropia4 ,astigmatism4 ,muscular ,anomalies4 ,it contains the most authoritative and complete researches up to date on these subjects1 treated by the master hand of an eminent oculist and optical teacher4 ,it is thoroughly practical1 explicit in statement and accurate as to fact4 ,all refractive errors and complications are clearly explained1 and the methods of correction thoroughly elucidated4 ,this book fills the last great want in higher refractive optics1 and the knowledge contained in it marks the standard of professionalism4 ,bound in ,cloth--#djh pages--with illustrations4 ,sent postpaid on receipt of #b4jj 7#hs4 #d;d47 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,skiascopy ,,and ,,the ,,use ,,of ,,the ,,retinoscope ,illustration ,a ,treatise on the ,shadow ,test in its ,practical ,application to the ,work of ,refraction1 with an ,explanation in ,detail of the ,optical ,principles on which the ,science is ,based4 ,this new work1 the sale of which has already necessitated a second edition1 far excels all previous treatises on the subject in comprehensiveness and practical value to the refractionist4 ,it not only explains the test1 but expounds fully and explicitly the principles underlying it--not only the phenomena revealed by the test1 but the why and wherefore of such phenomena4 ,it contains a full description of skiascopic apparatus1 including the latest and most approved instruments4 ,in depth of research1 wealth of illustration and scientific completeness this work is unique4 ,bound in cloth2 contains #bca pages and #gc illustrations and colored plates4 ,sent postpaid to any part of the world on receipt of #a4jj 7#ds4 #b;d47 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,and ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,physiologic ,,optics ,ocular ,dioptrics--,functions of the ,retina--,ocular ,movements and ,binocular ,vision ,,by ,,dr4 ,m4 ,,tscherning ,adjunct-,director of the ,laboratory of ,ophthalmology at the ,sorbonne1 ,paris ,,authorized ,,translation ,,by ,,carl ,,weiland1 ,m4,d4 ,former ,chief of ,clinic in the ,eye ,department of the ,jefferson ,college ,hospital1 ,philadelphia1 ,pa4 ,this is the crowning work on physiologic optics1 and will mark a new era in optical study4 ,its distinguished author is recognized in the world of science as the greatest living authority on this subject1 and his book embodies not only his own researches1 but those of the several hundred investigators who1 in the past hundred years1 made the eye their specialty and life study4 ,tscherning has sifted the gold of all optical research from the dross1 and his book1 as now published in ,english with many additions1 is the most valuable mine of reliable optical knowledge within reach of ophthalmologists4 ,it contains #chj pages and #bab illustrations1 and its reference list comprises the entire galaxy of scientists who have made the century famous in the world of optics4 ,the chapters on ,ophthalmometry1 ,ophthalmoscopy1 ,accommodation1 ,astigmatism1 ,aberration and ,entoptic ,phenomena1 etc4--in fact1 the entire book contains so much that is new1 practical and necessary that no refractionist can afford to be without it4 ,bound in ,cloth4 #chj ,pages1 #bab ,illustrations4 ,price1 #c4ej 7#ads4 #g;d47 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,ophthalmic ,,lenses ,dioptric ,formul for ,combined ,cylindrical ,lenses1 ,the ,prism-,dioptry and ,other ,original ,papers ,,by ,,charles ,f4 ,,prentice1 ,m4,e4 ,a new and revised edition of all the original papers of this noted author1 combined in one volume4 ,in this revised form1 with the addition of recent research1 these standard papers are of increased value4 ,combined for the first time in one volume1 they are the greatest compilation on the subject of lenses extant4 ,this book of over #bjj pages contains the following papers3 ,ophthalmic ,lenses4 ,dioptric ,formul for ,combined ,cylindrical ,lenses4 ,the ,prism-,dioptry4 ,a ,metric ,system of ,numbering and ,measuring ,prisms4 ,the ,relation of the ,prism-,dioptry to the ,meter ,angle4 ,the ,relation of the ,prism-,dioptry to the ,lens-,dioptry4 ,the ,perfected ,prismometer4 ,the ,prismometric ,scale4 ,on the ,practical ,execution of ,ophthalmic ,prescriptions involving ,prisms4 ,a ,problem in ,cemented ,bi-,focal ,lenses1 ,solved by the ,prism-,dioptry4 ,why ,strong ,contra-,generic ,lenses of ,equal ,power ,fail to ,neutralize ,each ,other4 ,the ,advantages of the ,sphero-,toric ,lens4 ,the ,iris1 as ,diaphragm and ,photostat4 ,the ,typoscope4 ,the ,correction of ,depleted ,dynamic ,refraction 7,presbyopia74 ,press ,notices on the ,original ,edition3 ,,ophthalmic ,,lenses4 ,the work stands alone1 in its present form1 a compendium of the various laws of physics relative to this subject that are so difficult of access in scattered treatises4--,new ,england ,medical ,gazette4 ,it is the most complete and best illustrated book on this special subject ever published4--,horological ,review1 ,new ,york4 ,of all the simple treatises on the properties of lenses that we have seen1 this is incomparably the best4444 ,the teacher of the average medical student will hail this little work as a great boon4--,archives of ,ophthalmology1 edited by ,h4 ,knapp1 ,m4,d4 ,,dioptric ,,formul ,,for ,,combined ,,cylindrical ,,lenses4 ,this little brochure solves the problem of combined cylinders in all its aspects1 and in a manner simple enough for the comprehension of the average student of ophthalmology4 ,the author is to be congratulated upon the success that has crowned his labors1 for nowhere is there to be found so simple and yet so complete an explanation as is contained in these pages4--,archives of ,ophthalmology1 edited by ,h4 ,knapp1 ,m4,d4 ,this exhaustive work of ,mr4 ,prentice is a solution of one of the most difficult problems in ophthalmological optics4 ,thanks are due to ,mr4 ,prentice for the excellent manner in which he has elucidated a subject which has not hitherto been satisfactorily explained4--,the ,ophthalmic ,review1 ,london4 ,the book contains #aaj ,original ,diagrams4 ,bound in cloth4 ,price1 #a4ej 7#fs4 #c;d47 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,optometric ,,record ,,book ,a record book1 wherein to record optometric examinations1 is an indispensable adjunct of an optician's outfit4 ,the ,keystone ,optometric ,record ,book was specially prepared for this purpose4 ,it excels all others in being not only a record book1 but an invaluable guide in examination4 ,the book contains two hundred record forms with printed headings1 suggesting1 in the proper order1 the course of examination that should be pursued to obtain most accurate results4 ,each book has an index1 which enables the optician to refer instantly to the case of any particular patient4 ,the ,keystone ,record ,book diminishes the time and labor required for examinations1 obviates possible oversights from carelessness and assures a systematic and thorough examination of the eye1 as well as furnishes a permanent record of all examinations4 ,sent postpaid on receipt of #a4jj 7#ds4 #b;d47 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,the ,,keystone ,,book ,,of ,,monograms ,this book contains #bdjj designs and over #fjjj different combinations of two and three letters4 ,is an essential to every jeweler's outfit4 ,it is not only necessary for the jeweler's own use and guidance1 but also to enable customers to indicate exactly what they want1 thus saving time and possible dissatisfaction4 ,the ,monograms are purposely left in outline1 in order to show clearly how the letters are intertwined or woven together4 ,this permits such enlargement or reduction of the ,monogram as may be desired1 and as much shading1 ornamentation and artistic finish as the jeweler may wish to add4 ,this comprehensive compilation of ,monograms is especially available as a reference book in busy seasons4 ,its use saves time1 thought and labor1 and ensures quick and satisfactory work4 ,monograms are the fad of the time1 and there's money for the jeweler in ,monogram engraving4 ,the knowledge in this book can be turned into cash4 ,all the various styles of letters are illustrated4 ,price1 #a4jj 7#ds4 #b;d47 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,the ,,keystone ,,record ,,book ,,of ,,watch ,,repairs ,this book is #i #aa inches1 has #abj pages1 and space for recording sixteen hundred jobs in detail4 ,it is made of linen ledger paper1 bound in cloth with leather back and corners4 ,price1 #a4jj 7#ds4 #b;d471 prepaid4 ,no other record book on the market is so complete1 and all cost more4 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4 99 99 99 99 99 ,,the ,,keystone ,,book ,,of ,,guarantees ,,of ,,watch ,,repairs ,this book contains two hundred printed guarantees1 and is handsomely bound4 ,each guarantee is #c #g inches1 and most carefully worded4 ,jewelers have discovered that the use of these guarantees is a most effective way to secure and cultivate public confidence4 ,we sell a book of two hundred for #a4jj 7#ds4 #b;d471 prepaid1 which is one-third less than the price charged by others for a similar book4 ,,published ,,by ,,the ,,keystone1 ,,the ,,organ ,,of ,,the ,,jewelry ,,and ,,optical ,,trades1 #ai,,th ,,brown ,,sts41 ,,philadelphia1 ,u4,s4,a4