,transcriber's ,notes3 ,underscores 80 before and after a word or phrase indicate italics in the original text4 ,equal signs 80 before and after a word or phrase indicate bold in the original text4 ,small capitals have been converted to ,,solid capitals4 ,illustrations have been moved so they do not break up paragraphs4 ,typographical and punctuation errors have been silently corrected4 ,,elementary ,,course ,,in ,,woodwork ,,designed ,,for ,,use ,,in ,,high ,,and ,,technical ,,schools ,,with ,,one ,,hundred ,,and ,,thirty-,,four ,,illustrations ,,by ,,george ,,alexander ,,ross ,,instructor ,,in ,,woodwork ,,and ,,patternmaking ,,lewis ,,institute1 ,,chicago ,,first ,,edition ,a4 ,,flanagan ,,company ,,chicago 33 ,,new ,,york ,,copyright1 #aija ,,by ,a4 ,,flanagan ,,company ,,preface4 ,the character and object of this book is set forth on its title page4 ,it is a manual designed principally for the practical assistance of students in elementary woodwork in the ,lewis ,institute4 ,the author has endeavored to present the subject in such a manner as to make simple the transition from the easier to the more difficult operations2 the exercises have been selected after having had a thorough test covering a period of three years1 and will be found practical in their application to the students in ,high and ,technical ,schools in elementary woodwork and turning4 ,part one1 the bench work1 is intended to cover a period of eight weeks1 two hours per day1 and part two1 wood turning1 four weeks1 two hours per day1 thus making a course which will be found to touch the principal points in elementary work1 at the same time giving practice in the uses of the tools most commonly used in carpentry1 joinery and wood turning4 ,disston ,sons' ,handbook for ,lumbermen has furnished many of the facts presented under 8,care of ,saws40 ,it has been the author's aim in this course to give just enough instruction in the work so that the student might be led to study out the problems for himself2 by this means he is able to study the course of work that follows the second part of this book1 i4 e41 ,pattern ,making4 ,a cursory perusal of the work will disclose many features which the author feels sure will commend themselves to instructors and others interested in this department of school work1 and with the hope that these pages may prove a valuable aid to students and teachers alike1 this work is presented to the public4 ,,george ,a4 ,,ross4 ,lewis ,institute1 ,chicago1 #aija4 ,,table ,,of ,,contents4 ,,page4 ,,care ,,of ,,saws ,,and ,,equipment #g ,,exercise ,,in ,,sawing ,,and ,,planing #ba ,,the ,,halved ,,joint #dg ,,the ,,mortise ,,and ,,tenon ,,joint #ea ,,keyed ,,mortise ,,and ,,tenon ,,with ,,brace #eg ,,exercise ,,with ,,the ,,bench1 ,,bead1 ,,rabbet1 ,,and ,,molding ,,planes #fb ,,blind ,,mortises ,,and ,,tenons ,,with ,,beading ,,and ,,rabbeting #ff ,,dovetail ,,corner ,,joint 7,,common7 #ga ,,glass ,,panel ,,door ,,frame #gi ,,bench ,,hook4 ,,use ,,of ,,shellac #hg ,,box ,,with ,,sliding ,,top #hi ,,problem ,,in ,,truss ,,work #id ,,problem ,,in ,,stair ,,building #ajj ,,problem ,,in ,,stair ,,railing #ajf ,,to ,,prepare ,,shellac #aad ,,to ,,prepare ,,glue ,,and ,,how ,,to ,,use ,,it #aae ,,to ,,true ,,oil ,,stones #aaf ,,care ,,of ,,saws1 ,,and ,,equipment4 ,elementary woodwork can be more readily learned from small pieces of wood than from large2 so the exercises that are here given are of such dimensions that they can be easily handled in working out the problems4 ,since it is by what we study and learn that we are able to do something else1 the student in beginning this work should thoroughly familiarize himself with the tools1 their names and uses1 so that he may more readily understand their application in the work that follows4 ,the equipment for the general use of students in each bench locker is as follows3 #a #bj-;inch ,rip-,saw4 #a #bj-;inch ,cross-,cut ,saw4 #a #aj-;inch ,back-,saw4 #a #h-;inch ,try-,square4 #a #h-;inch ,bevel4 #a #h-;inch ,wing ,dividers4 #a ,marking ,knife4 #a -inch ,hand ,mortising ,chisel4 #a ,bit ,brace4 #a -inch1 -inch1 -inch and -inch ,auger ,bit4 #a ,nail ,set4 #a ,mallet4 #a ,hammer4 #a ,oil ,stone4 #a ,oil ,can4 #a ,screw ,driver4 #a ,dust ,brush4 ,the equipment of tools in drawer and under the care of individual students is as follows3 #a ,number #e ,bailey ,iron ,plane 7,jack-,plane74 #a ,number #d ,bailey ,iron ,plane 7,smooth-,plane74 #a ,marking ,gauge4 #a -inch1 -inch1 -inch1 and #a-;inch ,bevel ,edge ,paring ,chisel4 #a -inch and -inch ,skew ,turning ,chisel4 #a -inch and -inch ,turning ,gouge4 ,tools1 such as molding1 beading1 rabbeting1 and plow planes are found in the tool room1 and are issued to students on check when required4 ,illustration3 ,,fig4 #a4 ,fig4 #a shows the double bench equipped with rack1 cam and quick acting vises1 with the locker for the general tools and four drawers on each side of the bench with tools for the use of the individual student4 ,carpenters' benches are usually about #cc inches high1 while cabinet and pattern makers' benches are from #b inches to #d inches higher4 ,the careful workman as a rule takes great pride in the condition in which his bench is kept2 so the beginner should see that his immediate surroundings are kept in a neat1 workmanlike manner1 and with everything in proper place4 ,care should be taken to protect the top of the bench from injury2 it should never be marked by the chisel or cut by the saw4 ,if chiseling has to be done on the bench1 place the work on the bench hook or on a board1 and in sawing use a bench hook such as is shown in ,fig4 #b1 that has a side lip that will protect the bench top4 ,illustration3 ,,fig4 #b4 ,the bench hook is made by students as an exercise1 and is used to replace those hooks that have become worn out4 ,the material1 which is delivered from the lumber yard in boards or planks1 has to be cut up into lengths and widths suitable for the work to be done4 ,the tools used for doing this cutting are the rip-saw and the cross-cut saw4 ,now1 a great amount of time can be lost in this work by the student1 for the reason of his trying to do work with one tool when another should be used1 and especially is this so in regard to saws4 ,a saw will cut faster than a chisel in some places1 and sometimes make the work as good if not better2 so the student should learn to file and to keep a saw in just as good order as any other tool used4 ,we devote considerable space here to the saw1 for we feel that the saw as one of the principal tools is often neglected1 and is not used by students in their work as much as it should be4 ,by a judicious use of this tool much time can be saved and a greater amount of ground covered than by trying to use a chisel or a jack knife in its stead4 ,saws are either reciprocating or continuous in action2 the first being a flat blade and a practically straight edge1 making a plane cut1 as in mill1 jig1 and sash saws2 the latter either a circular or rotating disc1 cutting in a plane at right angles to its axis 7see buzz-saw in shop7 or a continuous ribbon or band running on two pulleys1 making a plane or curved cut with a straight edge parallel to their axis of rotation 7see band-saw in shop74 ,practically speaking1 the teeth are a series of knives set on a circular or straight line1 each tooth cutting out its proportion of wood1 and kept from cutting more by the teeth on either side of it4 ,each tooth should cut the same amount and carry out the chips or dust1 dropping it to the side or below the material being sawed4 ,different kinds of woods require teeth different in number1 angle or pitch1 and style of filing4 ,the perfect saw is one that cuts the fastest and smoothest with the least expenditure of power2 to do this it is evident that each tooth should be so constructed and dressed as to do an equal proportion of the work1 for if any of the teeth are out of line or shape they are not only useless themselves but a disadvantage to the others4 ,a saw tooth has two functions--paring and scraping4 ,a slitting or rip saw for wood should have its cutting edge at about right angles to the fibre of the wood1 severing it in one place1 the throat of the tooth wedging out the piece4 ,illustration3 ,,fig4 #c4 ,the rip-saw1 ,fig4 #c1 should be filed square across1 and the front or rake of tooth should be at about right angles to the edge of the saw4 ,after jointing and setting1 file one half the teeth from each side1 which will give to the cutting edge of the tooth the slight bevel it should have for soft wood2 for medium hard woods use a finer toothed saw1 and file in the same manner2 for the very hard1 tough and cross-grained woods1 use a saw still finer with the teeth filed slightly beveling1 as ripping cross-grained stuff partakes a little of the nature of cross-cutting4 ,in all cases where ripping is done1 the thrust of a saw should be on an angle of about #de degrees to the material being cut1 as shown in ,fig4 #d4 ,this makes a shearing cut1 an advantage that can be quickly demonstrated with an ordinary pocket knife1 cutting any piece of soft wood4 ,saws are designated by the number of points or teeth per inch1 and the selection of a saw depends upon the character of wood to be worked4 ,a rip-saw should have from #d to #aj teeth per inch1 the cross-cut saw from #f to #af teeth per inch4 ,this includes the back-saw1 it being filed the same as a regular cross-cut saw4 ,illustration3 ,,fig4 #d4 ,illustration3 ,,fig4 #e4 ,the harder the wood1 the greater the number of teeth the saw should have4 ,we will now consider the cross-cut saw tooth in regard to rake or pitch2 this being one of the most important features1 too much care cannot be taken to have the correct amount of pitch for the duty required4 ,to illustrate this4 ,fig4 #e represents a board1 across which we wish to make a deep mark or score with the point of a knife4 ,suppose we hold the knife nearly perpendicular as at ,b2 it is evident that it will push harder and will not cut as smoothly as if it were inclined forward as at ,a4 ,it follows then that the cutting edge of a cross-cut saw should incline forward as at ,c1 ,fig4 #f1 rather than stand perpendicular as at ,d1 ,fig4 #g4 ,illustration3 ,,fig4 #f4 ,illustration3 ,,fig4 #g4 ,too much hook or pitch and too heavy a set are very common faults1 not only detrimental to good work but ruinous to the saw2 in the first case1 by having a large amount of pitch1 the saw takes hold so keenly that frequently it 8hangs up0 suddenly in the thrust--the result1 a kinked or broken blade2 in the second1 by having too much set1 the strain caused by the additional and unnecessary amount of set is out of proportion to the strength of the blade1 and it is broken in the same manner4 ,the most general value of pitch used is #fj degrees1 though this may be varied a little1 more or less1 to advantage1 as occasion may demand4 ,in all cases the size of tooth depends largely upon the duty required2 a long tooth has the demerit of being weak and liable to spring1 but the merit of giving a greater clearance to the saw-dust4 ,the throat space in front of each tooth must be large enough to contain the dust of that tooth from one stroke2 the greater the feed the deeper the dust chamber required1 or the more teeth4 ,where the teeth are fine the shape of the throat is of special interest4 ,the teeth of a hand-saw should be filed so true that on holding it up to the eye and looking along its edge1 it will show a central groove down which a fine needle will slide freely the entire length4 ,this groove must be angular in shape and equal on each side1 or the saw is not filed properly and will not run true4 ,illustration3 ,,fig4 #h4 ,illustration3 ,,fig4 #i4 ,illustration3 ,,fig4 #aj4 ,illustration3 ,,fig4 #aa4 ,fig4 #h shows how the groove should appear on looking down the edge of the saw4 ,the action should be such that the bottom of the cut or kerf will present the appearance as shown in ,fig4 #i1 and not as in ,fig4 #aj2 the cutting action is shown in ,fig4 #aa1 the cutting being done with the outside of the tooth2 the fibre of the wood is severed in two places1 and the wood is crumbled out from point to point by the thrust of the saw4 ,the proper amount of bevel is very important1 as is demonstrated by the above figures1 for if too much bevel is given the points will score so deeply that the fibres severed from the main body will not crumble out as severed but will be removed by continued rasping4 ,this is true1 particularly in hard woods1 as they require less bevel1 as well as pitch1 than soft wood4 ,the next point to be considered is the bevel or fleam of the point4 ,in ,fig4 #ab the filer1 as in all cases1 files from the heel to the point2 which is the only correct way4 ,illustration3 ,,fig4 #ab4 ,the file is supposed to be perpendicular to the side of the saw in the vertical plane 7see ,fig4 #ac71 at an angle of about #de degrees in the horizontal plane1 measuring from file line towards heel 7see ,fig4 #ad74 ,illustration3 ,,fig4 #ac4 ,fig4 #ae is a fair representation of many saws that we have seen owned by workmen2 the result of owning such tools is shown in the poor work turned out by them4 ,illustration3 ,,fig4 #ad4 ,as has already been said1 the filing should be done from the heel of the saw toward the point4 ,many practical saw filers contend that this is wrong2 that the filing should be done from the point of the saw toward the handle2 but the only support they offer for this theory is that they do away with the feather edge that the filing from the heel of saws puts on the cutting face of the tooth4 ,the feather edge is no objection1 as the main part of it is removed when the teeth are side-dressed after the saw is set and sharpened4 ,against the correctness of filing from point to handle may be cited the following objections3 ,where a different angle of back is required 7it should be remembered that that angle of face should be the same in nearly all cross-cut hand saws1 and that angle of back governs angle of point7 it will be found very difficult to obtain it without changing the angle of face of the tooth1 and as the cutting duty is on the long side of the face1 any change is1 of course1 of great influence4 ,again1 to file from the point of the saw it is necessary to file with the teeth bent toward the operator4 ,this will cause the saw to vibrate or chatter1 a thing which not only renders good1 clean1 even filing impossible1 but breaks the teeth off the file4 ,illustration3 ,,fig4 #ae4 ,the setting of a saw is an important part of the work in keeping a saw in order1 and should be done ,,after the saw has been ,,jointed1 and before filing4 ,the set should be uniform throughout1 as the good working of a saw depends nearly as much on this as on the filing4 ,one great mistake is often made in setting a saw1 and that is that many try to put the set in the blade instead of in the tooth4 ,the set should not go at the most lower than half the length of the tooth2 by going lower it is liable to spring the body of the saw1 if not break the tooth out4 ,two methods may be given for setting saws4 ,the first1 or old method 7employed before saw-sets were invented1 and still used by old mechanics7 is to take a hardwood block1 lay the saw on it1 and with a nail set and hammer set every other tooth on the side1 then turn the blade over and repeat the operation on the teeth missed from the first side4 ,it is needless to make any comment on this method when saw sets can be bought that are absolutely reliable in their operation4 ,the second method is to use the saw-set4 ,saw-sets are made in many styles1 and can be bought at any hardware store4 ,illustration3 ,,fig4 #af4 ,illustration3 ,,fig4 #ag4 ,figs4 #af and #ag show two styles of saw-sets2 much might be said in favor of each4 ,saw clamps or vises used to hold the saw when filing can be bought 7see ,fig4 #ah71 but a simple homemade vise can be put together by means of two pieces of board1 one #c feet #f inches long and #f inches wide1 and one #b feet #d inches long and #f inches wide4 ,by fastening a piece #b inches thick about #aj inches from the top of each1 to act as a fulcrum1 and fastening a piece on each board at the top to act as jaws1 and using a wedge at the bottom to tighten it up1 a very serviceable vise is obtained 7see ,fig4 #ai74 ,illustration3 ,,fig4 #ah4 ,illustration3 ,,fig4 #ai4 ,to assist those not skilled in the art of filing1 there is made a saw-filing clamp with a guide1 of which a cut is here shown in ,fig4 #bj4 ,a few general rules may be observed in saw-filing3 ,see that the file is held at the same angle throughout the operation4 ,file every other tooth on one side1 and when filed1 reverse the saw and file the other teeth from the other side4 ,for rip saws1 place the file at right angles with the saw1 and file the rake of tooth at right angles to the edge4 ,after a saw is properly set and filed1 lay it on a flat board and rub over the points of the teeth on the sides with an oil stone2 this will regulate the set and insure smooth cutting1 making the filing last longer4 ,should the saw not run true take another cut with the oil stone over the side toward which it leads4 ,illustration3 ,,fig4 #bj4 ,a fast cutting cross-cut saw should have deep teeth4 ,much useful information on saws can be obtained from a small book published and issued by ,disston ,sons1 ,philadelphia1 entitled 8,hand ,book for ,lumbermen10 which1 ,i believe1 can be obtained on application4 ,the other tools used in this course will be taken up in order as they are used in the work4 ,,exercise ,,no4 #a4 ,the following operations are designed to give the student a ,,training in the use and care of the most commonly used carpenters' and joiners' tools4 ,it is not intended that the student will be able to finish each exercise in one trial1 as mistakes will be very common at the beginning1 and it is advised that at least two or three trials may be given for the practice and training involved4 ,in ,fig4 #ba is shown the working drawing 7mechanical drawing7 of a rectangular block of wood1 and before we proceed to do the work required to finish this1 we will study the drawing4 ,in order to represent solid figures with their three dimensions1 length1 breadth1 and thickness1 on a plane surface1 i4e41 a sheet of paper1 we must have at least two drawings 7projections71 but to simplify the reading still further a third drawing is given1 sometimes with additional drawings in the form of cross-sections4 ,to understand fully the principle upon which a working drawing is made1 we will suppose that two transparent planes cross each other at right angles1 making four right angles as shown in ,fig4 #bb1 7these angles to be known as the #ast1 #bnd1 #crd1 and #dth angle of the co-ordinate planes71 and respectively called the ,horizontal and the ,vertical planes4 ,illustration3 ,,fig4 #ba4 ,two of these angles are used in practice1 the #ast and the #crd2 the most modern practice is to use the #crd1 although the #ast is still used in some manufacturing establishments and by some teachers4 ,illustration3 ,,fig4 #bb4 ,we will take1 first1 the #ast angle1 and compare it with the results obtained from the #crd angle4 ,we place the solid 7exercise #a7 in space in the #ast angle1 and also place a similar one in the #crd angle 7see ,figs4 #bc and #bd74 ,illustration3 ,,fig4 #bc4 ,illustration3 ,,fig4 #bd4 ,by projecting the lines back on the vertical1 and down on the horizontal plane1 we obtain two views which are respectively the elevation on the vertical and the plan on the horizontal plane2 to obtain the third view or end elevation1 we have another plane placed perpendicular to planes ,h and ,v1 as shown in ,figs4 #bc and #bd1 and the lines projected back from the left end2 by opening or revolving these planes into one plane1 as shown in ,fig4 #be1 we have a working drawing made in the #ast angle4 ,illustration3 ,,fig4 #be4 ,referring to ,fig4 #bd1 where we placed the solid in the #crd angle1 we project the lines up on the horizontal and to the front on the vertical plane1 and by placing another plane at the end1 perpendicular to the ,h and ,v planes1 we obtain the third projection4 ,revolving the planes into one plane 7i4 e41 a sheet of paper7 ,fig4 #bf1 we have the working drawing in the third angle4 ,compare the results obtained1 and note the difference in the reading of the drawing4 ,in the first angle we see the plan is below the elevation1 and in the third angle the plan is above2 the pieces cut out of the exercise may also be noted in the end projection by the lines passing through the center of the exercise2 in the first angle the line comes out full1 the end being exposed1 and in the third angle the surface is behind the full end and shows a dotted line4 ,lines that are seen are shown as full lines4 ,illustration3 ,,fig4 #bf4 ,lines that are below a surface and are required in the reading of a drawing are shown as dotted lines4 ,the drawing1 ,fig4 #ba1 calls for a piece that is #h inches at its longest1 #b inches at its widest1 and #a inch at its thickest point1 and that may be designated thus3 piece #h inches #b inches #a inch finished4 ,for measuring1 a standard rule #b feet long that can be folded up is preferred4 ,the rule is divided into feet1 inches1 inches1 inches1 inches1 _/ inches1 etc4 ,on some rules will be found scales that can be used in measuring drawings that are drawn to scale4 ,the drawing may be of any scale1 using 1 1 #a1 #a1 #c1 or #f inches to the foot4 ,illustration3 ,,fig4 #bg4 ,the first thing to be done toward carrying out the work is to saw out a piece from the plank that is laid on the saw trestles 7,fig4 #bg74 ,mark with a pencil the lines to be sawed2 holding the rule in the left hand1 and the pencil in the right1 and placing the index finger of the left hand against the edge of the plank1 as shown in ,fig4 #bh1 draw both hands toward the body1 thus marking out the piece lengthwise2 then measure the length required and place the try-square 7,fig4 #bi7 against the edge of the plank1 and draw a line along the blade through the point marked4 ,the piece should be marked out larger than the finished exercise so that there will be stock enough in the piece to perform the operations required1 say #h inches #b inches1 the plank being thick enough to provide for the work on the sides4 ,illustration3 ,,fig4 #bh4 ,having 8laid out0 the piece on the plank1 take the rip-saw and hold it as shown in ,fig4 #cj3 saw down the line1 taking care that the 8kerf0 is square to the side of the plank2 then take the cross-cut saw1 and saw across the line marked4 ,hold the cross-cut saw as in ,fig4 #cj4 ,after having cut the piece from the plank take the jack-plane and put it in good condition for work4 ,a sectional view of the ,bailey ,iron ,plane is shown in ,fig4 #ca1 and the parts are as follows3 ,a--,plane-,iron4 ,b--,cap ,iron4 ,c--,the ,iron ,lever4 ,d--,thumb piece and ,cam4 ,e--,screw which acts as a fulcrum when the thumb piece is pushed into position4 ,f--,thumb screw by which the ,plane-,iron ,a is regulated for any thickness of shaving4 ,g--,lever which is in contact with ,plane-,iron4 ,h--,screw which holds the iron bed piece in place4 ,i--,bed piece4 ,k--,lever4 ,illustration3 ,,fig4 #bi4 ,the plane-iron should be ground on the grindstone if nicked or rounded4 ,to grind the plane-iron it should be held in the hand as shown in ,fig4 #cb4 ,illustration3 ,,fig4 #cj4 ,illustration3 ,,fig4 #ca4 ,apply the iron to the stone1 as indicated by dotted line ,a1 ,fig4 #cc2 then raise it until the proper angle is reached1 a position indicated by full lines ,b4 ,illustration3 ,,fig4 #cb4 ,move the tool gradually from one side of the stone to the other4 ,see that there is plenty of water on the stone4 ,the tool should be held during the operation so that it revolves toward the person grinding4 ,the tool thus held is not so liable to have a 8wire edge0 as it is if held on the stone while it is revolving away from the operator4 ,illustration3 ,,fig4 #cc4 ,the 8whetted0 edge should never be ground away unless the plane-iron is in very poor condition4 ,the grinding is complete when the bevel reaches the cutting edge1--a condition which can readily be determined by holding the finger along the flat side of the iron and having the light fall in the proper direction2 a thin bright line will be seen which will determine whether the iron is ground enough4 ,the plane-iron is shown before it is ground in ,fig4 #cd1 and ,fig4 #ce shows it after it is ground4 ,illustration3 ,,fig4 #cd4 ,illustration3 ,,fig4 #ce4 ,illustration3 ,,fig4 #cf4 ,to whet or sharpen the iron an oil stone is used4 ,oil stones are of different grades2 a stone of medium hardness is best1 as it will cut a little faster and leave a fairly smooth edge2 whereas if the stone be hard much time is required to whet the iron1 but it leaves a smoother edge4 ,a coarse stone leaves a rough edge4 ,use oil that will not become gummy on the stone4 ,several good artificial stones have lately come on the market which give good service4 ,to sharpen the iron1 apply it as shown in ,fig4 #cf1 #a and #b1 and move it back and forth as indicated in ,fig4 #cg4 ,illustration3 ,,fig4 #cg4 ,many persons sharpen their plane irons as indicated in ,fig4 #ch2 at first thought this may appear to be right1 but many mechanics of long experience sharpen the 8iron0 as indicated in ,fig4 #cf4 ,this method gives a stronger edge1 which is not so liable to get nicked when the iron strikes a knot or a hard spot in the work4 ,illustration3 ,,fig4 #ch4 ,great care should be taken to avoid giving the iron a rocking motion on the oil stone1 as this will round the edge and the iron will not be any sharper than it would be if it were in the form shown in ,fig4 #ci4 ,illustration3 ,,fig4 #ci4 ,illustration3 ,,fig4 #dj4 ,after having whetted the bevel side of the iron sufficiently1 turn the iron so that it will rest perfectly flat on the stone1 as shown at #c1 ,fig4 #cf1 and whet it in this position2 this will remove the 8wire edge40 ,care should be taken to see that the iron is not raised in whetting the flat side2 if raised as in ,fig4 #dj the cutting qualities of the edge will be injured4 ,the iron is now sharpened4 ,replace the cap iron1 keeping it back from _/ to _/ of an inch from the cutting edge2 then place it in position and fasten it2 look down the face of the plane and see that the edge protrudes far enough to cut the required thickness4 ,the adjustments are made by the thumb screw ,f and lever ,k1 ,fig4 #ca4 ,illustration3 ,,fig4 #da4 ,place the block already sawed on the bench against the bench stop1 ,fig4 #da1 and then follow the method here given for planing a piece to the given dimensions4 ,,first4 ,plane one side true and mark 7#j7 for the 8working face40 7,a surface is said to be true when it is perfectly straight across2 straight lengthwise1 and free from twist74 8,side0 here used means one of the wider surfaces in distinction from the narrower surface1 the edge4 ,methods for testing the surface with parallel strips1 etc41 will be shown by the instructor4 ,,second4 ,plane one edge perfectly straight lengthwise1 and square to the face side4 ,mark this edge for the 8working edge02 use the try-square1 ,fig4 #bi1 to test the work4 ,illustration3 ,,fig4 #db4 ,,third4 ,set the gauge1 ,fig4 #db1 to the width given in the drawing1 and gauge a line from the face edge on both sides2 then plane to the gauge lines4 ,illustration3 ,,fig4 #dc4 ,in using the gauge see that it is held as shown in ,fig4 #dc1 and push away from the body1 having the pressure on the gauge as shown by the line ,a1 ,b1 ,fig4 #dd4 ,this will keep the head of the gauge close to the work4 ,do not try to mark a line by holding it as in ,fig4 #de1 with the spur at right angles to the work1 as it will generally follow the fibre of the wood and a crooked1 ragged line will be the result4 ,by holding it as shown in ,fig4 #dc 7and gently letting the spur touch the work1 going over it once or twice until the line is of the desired heaviness to work to7 a clear1 clean-cut line will be obtained4 ,illustration3 ,,fig4 #dd4 ,illustration3 ,,fig4 #de4 ,,fourth4 ,set the gauge to the given thickness 7see drawing for dimension7 and gauge a line on both edges from face side2 then plane to gauge lines4 ,this1 if done correctly1 will finish the four surfaces4 ,it is sometimes necessary that the ends of a piece of work should be finished smooth2 the method of procedure is as follows3 ,mark 7from one end about _/ of an inch7 a knife line all around 7see ,fig4 #df71 placing the head of the try-square against the face edge and the face side only2 then take a small block and put behind the exercise as shown in ,fig4 #dg1 fasten in the vise1 and plane to the knife lines4 ,this block will save the corners from breaking4 ,illustration3 ,,fig4 #df4 ,illustration3 ,,fig4 #dg4 ,to finish the other end measure the length and mark as on the first end4 ,then if the piece is too long to plane1 saw off near the line1 using the back-saw as shown at ,fig4 #ed1 and then finish with the plane to the lines4 ,illustration3 ,,fig4 #dh4 ,in planing care must be taken to see that the plane is held firmly on the work to secure a true surface4 ,a rocking motion must be avoided4 ,in order to get the best results see that the front of the plane is held down with the left hand1 also pressing down and forward with the right hand at the same time1 and at the end of the stroke lift the front of the plane as shown in ,fig4 #dh2 never let it drop as in ,fig4 #di4 ,a proper and an improper position to stand while planing is shown by ,figs4 #ej and #ea4 ,in planing the edge if it is higher on one side than the other1 move the plane over to the high side and plane it down4 ,fig4 #eb shows the position of the plane4 ,illustration3 ,,fig4 #di4 ,illustration3 ,,fig4 #ej4 ,illustration3 ,,fig4 #ea4 ,after the block is planed true and to the correct dimensions1 lay out the lines across the face at the left hand end shown in the drawing and square the lines down the depth on the edges2 then set the gauge and mark around the end and notch on both edges4 ,beginners will find it a little difficult at first to saw a perfectly clean line so as to secure a sharp corner2 by cutting notches with a knife point as shown at ,fig4 #ec1 it will be easy to secure sharp corners4 ,place the back-saw1 ,fig4 #ed1 in the notch1 hold it tightly against the flat side1 and saw down to the desired depth1 removing the portion from the end with the rip saw 7see ,fig4 #ee74 ,illustration3 ,,fig4 #eb4 ,illustration3 ,,fig4 #ec4 ,to remove the portion between the sawed lines take the chisel1 ,fig4 #ef 7the same directions to be used for grinding and sharpening a chisel as are used for the plane-iron71 pare lightly 7about half through the width of the piece71 cut down to the gauge line1 and then turn the piece around and finish from the other side1 leaving a straight surface at the bottom of the notch4 ,be careful not to take too heavy a cut1 for the chisel will be hard to guide if the workman has to exert his whole strength to push it through the wood4 ,the chisel has a tendency to go down into the work if the flat side is not used as a guiding surface2 this side1 if kept in contact with the solid wood1 will insure a straight surface1 and consequently accurate work4 ,illustration3 ,,fig4 #ed4 ,illustration3 ,,fig4 #ee4 ,illustration3 ,,fig4 #ef4 ,the lining on the exercise is made with the gauge for the lines running parallel with the edge1 with the square and the knife for the lines at right angles to the edge1 and with the bevel1 ,fig4 #eg1 and the knife for the oblique lines4 ,figs4 #eh and #ei give methods for finding the angle of #de degrees1 which is the angle that is used for the oblique lines4 ,illustration3 ,,fig4 #eg4 ,too much attention cannot be given to the operations in this exercise1 for in all work that requires material to be prepared1 carelessness in detail and inattention to methods1 etc41 will always appear in the finished work4 ,illustration3 ,,fig4 #eh4 ,illustration3 ,,fig4 #ei4 ,,exercise ,,number #b4 ,,halved ,,joint4 ,illustration3 ,,fig4 #fj4 ,when two pieces of timber of equal thickness cross each other and the joint is to be flush1 i4 e41 the pieces when joined are to form a flat surface1 they are halved together2 or1 to put it in another way1 a piece is taken out of each half its thickness and as broad as the piece which is to cross it1 thus allowing the one to drop into the other1 as shown in ,fig4 #fj4 ,the working drawing is shown in ,fig4 #fa4 ,to make this piece of work1 refer to methods and operations given for the preparation of material in the first exercise4 ,illustration3 ,,fig4 #fa4 ,special results are sought for by specific methods in this exercise4 ,exercises that are not finished 7by the methods given7 as they should be1 are thrown out as not coming up to the requirements and fall short of the object for which they are designed4 ,the drawing shows two pieces of wood of given dimensions crossing each other at right angles and halved together1 making a flush joint4 ,requirements3 ,the pieces to be of the exact length1 breadth1 and thickness called for1 fitted closely on both sides1 each piece to be exactly in the center of the other1 and both sides smoothed off and perfectly flat when finished2 the ends of the pieces to be planed square1 and the ends of the halving to be fitted from the saw4 ,methods3 ,after sawing out a piece 7long enough to make both pieces1 allowing for work on the ends71 plane the piece by the methods given for planing in the first exercise2 then saw it across in the center and proceed to lay out the pieces so that the face side of each piece will come on the same side2 this means that the halving is cut out of the face of one piece and the back of the other 7see ,fig4 #fj74 ,illustration3 ,,fig4 #fb4 ,it will be well to consider this problem of laying out work as a problem in arithmetic4 ,the pieces called for in the drawing are #e inches long1 #a inches wide1 and #a inch thick4 ,the piece that crosses comes exactly in the center4 ,therefore we have a problem like this3 #e -#a #d1 which is the difference between the length of one piece and the breadth of the other2 but the piece comes in the center1 and so we take the difference of the length1 which is #d1 and divide it by #b4 #d_/b #b1 which will give the distance from the end up to the first edge of the cross-piece4 ,as all measurements have a beginning somewhere1 we mark a line near the end of the piece as shown in ,fig4 #fb1 and from this line we lay off the distance to the cross-piece1 marking with a knife point the position of the edge4 ,then we lay off the width of the cross-piece1 which is #a1 leaving the distance to the other end #b1 the same as at the first end4 ,illustration3 ,,fig4 #fc4 ,having found the position of the edges of the cross-piece1 we mark a line across the work 7using a knife and a square72 then mark the lines down the edges4 ,now taking the gauge1 we gauge from the face side of each piece the depth required4 ,then we cut a notch inside the lines with a knife1 as shown at ,fig4 #ec1 place the piece on the bench hook1 saw down to the gauge lines with the back-saw 7position shown in ,fig4 #ed71 and remove the portions to be taken out by the methods given for the notch in the first exercise4 ,then plane the ends of each piece perfectly square to the face side and face edge4 ,an exercise that was made by a careful student and one that was made by a careless student are shown at ,fig4 #fc1 revealing the final results of careful as against careless work4 ,having cut out the center pieces and finished the ends we fit them together1 seeing that the surfaces come flush2 then smooth off the surfaces1 being careful not to cut too much off the ends1 for this will round the surfaces and thus spoil the work4 ,sharp tools are essential to good work4 ,lines drawn in their proper places1 and then cut to1 will give the results sought for in fitting4 ,,exercise ,,number #c4 ,,mortise ,,and ,,tenon4 ,when beams or pieces of wood stand square with each other1 and the strains are also square with the pieces and in the plane of the frame1 the most common junction is the mortise and tenon4 ,a mortise is an opening1 which may be square or oblong1 intended to receive the tenon1 and which may go into the work only a short distance1 or may go all the way through4 ,where it goes only part way through it is called a blind mortise1 and where it passes all the way through1 a through mortise4 ,a tenon is a projection on the end of a piece and fits into the mortise4 ,the tenon usually has two shoulders formed by cutting away the sides1 and should be about one third the thickness of the piece4 ,illustration3 ,,fig4 #fd4 ,there are a number of different styles of this joint and methods of fastening1 which we will consider later in our work4 ,the working drawing shown in ,fig4 #fd gives the dimensions of the pieces1 the material of which is to be worked out in one piece1 as directed in the previous exercise1 and then cut up into lengths suitable for the exercise4 ,the student should commence work on a piece with a full understanding of what is required to be done in order to finish the work as called for1 and not try to make any kind of work do in order to proceed to the next task4 ,notice what is required in this exercise3 #ast4 ,that the pieces be perfectly straight and square4 #bnd4 ,that the tenon piece be exactly in the center of the mortise piece1 and that the angles be right angles or 8square40 #crd4 ,that the work be laid out systematically1 with the lines in their proper places4 #dth4 ,that the tenon be made altogether with the saw4 #eth4 ,that the mortise be cut out with the hand mortising chisel4 #fth4 ,that the tenon fit into the mortise1 and not be squeezed4 #gth4 ,that the joint fit closely1 and that the work be finished off smoothly on the sides1 with all the corners sharp and the end of the pieces sawed square4 ,the following methods if carried out will help the student to finish the work as required4 ,it will be unnecessary to repeat hereafter the method of planing1 as the student by this time should have learned to plane the pieces properly to dimensions4 ,after the material has been planed1 mark the piece to the desired lengths as shown in ,fig4 #fe1 and saw off the pieces square on the ends4 ,use the knife to mark the lines4 ,in sawing1 care must be taken to saw on the right side of the line1 for the saw will cut out its own thickness and reduce the length of the piece that much if the piece is sawed on the wrong side of the line4 ,illustration3 ,,fig4 #fe4 ,leave the tenon piece about inch longer than the drawing calls for so that the tenon will protrude through and be finished off even with the mortise piece4 ,illustration3 ,,fig4 #ff4 ,proceed to lay out the work4 ,take the mortise piece1 which is #f inches long1 and mark the distance from one end 7#f-a #d47 #d_/b _/ _/ or #b2 locate the first point on the face edge2 then measure from this point the width of the tenon piece1 which is #a4 ,through the points just found draw the lines square to the face side4 ,place the square against the face edge and mark 7on the opposite edge on the corner71 a small cut for both lines 7see ,fig4 #ff7 and square from the face side across the edge2 lay the piece aside2 take the tenon piece and point off the distance from the end of the piece to the shoulder1 and mark across the face and back1 using the square and the knife in marking4 ,prepare the shoulder lines for the back-saw1 as shown in ,fig4 #ec1 taking care that the notch is cut on the right side of the line4 ,take the gauge and set it to the distance from the face side to the first side of the mortise1 and gauge the lines for the mortise on both edges2 gauge the lines for the tenon4 7,this is for a single gauge47 ,take the mortise chisel1 ,fig4 #fg1 and make a mark from this line 7see ,fig4 #fh71 which will give the thickness of the tenon and the width of the mortise2 set the gauge out to the width and gauge the rest of the lines4 ,illustration3 ,,fig4 #fg4 ,illustration3 ,,fig4 #fh4 ,take the rip-saw and saw down the outside of the lines on the tenon piece the length required2 cut off the sides with the back-saw4 ,in sawing split the line so that the tenon will be as thick as the mortise is wide4 ,this means that half the line is to be left on the work4 ,fasten the mortise piece in the vise1 putting a piece below to keep it from going down when cutting4 ,place the mortise chisel about the center of the mortise2 hold it vertically1 and with the mallet drive the chisel down into the work2 release the chisel and make a new cut1 keeping the flat side of the chisel towards the end to which the mortise is being cut4 ,fig4 #fi shows how the cutting should be done4 ,having reached the end1 turn the chisel around1 and cut towards the other end in the same manner4 7,where the mortise goes through it will be unnecessary to take the chips from the first side47 ,illustration3 ,,fig4 #fi4 ,illustration3 ,,fig4 #gj4 ,turn the piece over1 and repeat the operation on the other side1 when the chips can be easily removed4 ,proceed to test the work2 see that the mortise is straight on the ends4 ,generally the student will leave the ends rounding as shown in ,fig4 #gj2 this1 if the tenon is driven into the mortise1 will squeeze the edges out of true 7,fig4 #ga7 and leave an opening on the ends of the mortise1 as shown in ,fig4 #gb4 ,illustration3 ,,fig4 #ga4 ,illustration3 ,,fig4 #gb4 ,care should be taken to avoid this fault in this exercise4 7,a mortise gauge such as a joiner uses is shown in ,fig4 #gc2 it has two spurs1 one being adjusted by the thumb screw at the end of the shank4 ,we will use a mortise gauge in our work later on47 ,illustration3 ,,fig4 #gc4 ,after the pieces have been cut1 put them together1 having the face sides together1 and finish smoothly4 ,,exercise ,,number #d4 ,,keyed ,,mortise ,,and ,,tenon1 ,,with ,,brace4 ,this method of joining timbers is sometimes used in heavy frame work1 but can be used to advantage in light frame work that has to be taken apart1 such as curtain frames1 etc4 ,in ,fig4 #gd is shown the assembled and the detailed drawings of this piece of work4 ,the experience gained from the previous exercises can be used to advantage in working this problem4 ,the requirements in this exercise are that all pieces be square and to dimensions4 ,that the upright and cross-pieces when keyed be square to each other4 ,that the brace fit snugly1 and form two angles of #de degrees back at its junction with the upright and cross-piece4 ,that all joints fit closely1 and the whole work be smoothed off and made true4 ,the method of laying out the keyed joint is somewhat similar to that in the third exercise4 ,illustration3 ,,fig4 #gd4 ,on the upright locate the cross-piece 7on the face edge71 which is #a inches from the end to the upper edge1 and measure the width of the piece1 which is #a inches2 draw the lines square to the face side1 deduct the amount of splay or bevel that is given to the mortise and tenon from the lower end of the mortise1 and add to the upper end the width of the key2 draw the lines1 and mark them in some manner so that they will be known as working lines4 ,figs4 #ge and #gf will show how this may be done4 ,from the line which locates the lower edge of the cross-piece 7using the square on the face edge7 mark the position 7on the opposite corner7 of the lower line on the outside edge1 by the method given in the previous exercise 7see ,fig4 #ff71 and square this line across the outside edge2 then measure the width of the tenon1 plus the width of the key1 and square the line across4 ,illustration3 ,,fig4 #ge4 ,illustration3 ,,fig4 #gf4 7,where work is to be finished on the faces1 care should be taken not to mark the work with knife lines1 but if auxiliary lines must be used1 then mark them with a pencil so that they may be cleaned off when the work is being smoothed47 ,having laid out the keyed mortise lay out the brace mortise1 the lower end of which is located #c inches below the lower edge of the cross piece2 the drawing gives all the dimensions for this4 ,take the cross-piece and lay out the tenon in the same way that the tenon in ,exercise ,number #c is prepared1 using the dimensions that are given in the drawing for the work on hand4 ,after marking the shoulders of the cross-piece lay out the brace mortise1 which is #c inches from the shoulder to the farthest end1 and mark the other lines as called for in the drawing4 ,use the single gauge as directed in ,exercise ,number #c to mark the side lines of the mortise and tenon1 and cut the mortise with the mortising chisel1 taking care to cut the ends to the proper angle4 ,saw the tenon as previously directed1 and after the sides have been cut off1 mark the splay on the lower side of the tenon and cut it off with a paring chisel4 ,the method of finding the length of the brace is of importance1 as it will give the student some idea of the application of square root to practical work of this kind4 ,the hypotenuse of a right-angled triangle equals the square root of the sum of the squares of its sides4 ,for example1 take the triangle that is formed by the upright1 the cross-piece1 and the outside of the brace4 ,we have a triangle that has two sides of equal length and wish to obtain the length of the brace on its longest side4 ,we will designate the angle where the cross-piece meets the upright1 ,a1 and the lower point of the brace on the upright1 ,b1 and the outside point of the brace on the cross-piece1 ,c4 ,then we have the side ,,ab1 and the side ,,ac1 which we will square and add together1 then extract the square root of this sum1 which will give us the length of the brace on the longest side1 to which we must add the length of the tenons that go into the upright and the cross-piece4 ,the angles at each end of the brace will be #de degrees1 as the opposite angles of the triangle are equal1 there being #ahj degrees in the sum of the three angles2 one of the angles is a right angle 7#ij degrees71 which we subtract from #ahj degrees2 the remainder divided by two will give the number of degrees contained in the angle at the ends of the brace4 ,the lines at the outside of the tenons on the brace are parallel with the upright and the cross-piece respectively4 ,a method often used by practical men to get the length of short braces is to take a steel framing square and a rule1 and find the length of the brace by applying the rule to the square as shown in ,fig4 #gg4 ,on the short leg of the square will be found a brace measure which gives the length of the sides of the triangle and the length of the brace1 thus1 _/ #gf4ca4 ,illustration3 ,,fig4 #gg4 ,bevels and tapers are found by applying the bevel to the square according to the bevel or the taper required1 such as #a inch on one side and #d inches on the other side of the square2 this would be called a taper of #a inch in #d inches4 ,having cut the pieces to dimensions as called for in the drawing1 put them together1 and finish smooth4 ,,exercise ,,number #e4 ,moldings and beads are sometimes used to ornament work1 but the chief use of the bead is to conceal open joints by the shadow it casts4 ,an example of this may be seen in beaded wainscoting or large surfaces that are finished with matched ceiling4 ,if the boards were put together without a beaded edge1 an unsightly crack would be the result from the shrinking and swelling of the material4 ,moldings are so varied in form that it would be useless to try to describe them here4 ,the molding shown in the drawing is given for practice in the use of the molding plane4 ,illustration3 ,,fig4 #gh4 ,a rabbet is generally a square corner cut out of the edge of a piece so as to lap over1 or to make a place for glass1 etc41 as in window sash1 glass panel doors1 and door frames4 ,the rabbet plane 7see ,fig4 #gh7 is so constructed that the iron comes out flush with both sides1 so that it will cut out a sharp corner or interior angle4 ,to cut the rabbet1 the iron combination plow1 beading1 and rabbeting plane may be used1 an illustration of which is shown in ,fig4 #gi4 ,illustration3 ,,fig4 #gi4 ,this tool can be set up as a rabbet plane or fillister1 having a fence to guide it along the side and a shoe to stop its cutting when the desired depth is reached4 ,the plan and end elevation of this exercise is found in ,fig4 #hj4 ,the bead plane1 ,fig4 #ha1 that is used on the edge of the exercise is known as a single quirked bead1 and has a fence or guide by which it is held in position while the bead is being stuck on the work4 ,illustration3 ,,fig4 #hj4 ,the angle bead is made with the same plane1 but the work must be turned in order to cut the quirk on the other side4 ,the center bead plane 7see ,fig4 #hb7 is a double quirked bead plane1 and requires a piece fastened on the work in order to guide it4 ,illustration3 ,,fig4 #ha4 ,illustration3 ,,fig4 #hb4 ,the guide piece can be held in place by several methods2 one method is to tack it on to the work1 but this leaves the nail holes in the work4 ,another method is to make a piece as shown in ,fig4 #hc2 if the work is long a thin strip with small blocks fastened on the ends1 ,fig4 #hd1 and a wedge driven between one of the blocks and the work will hold it firmly in place4 ,illustration3 ,,fig4 #hc4 ,illustration3 ,,fig4 #hd4 ,after planing the piece to the desired dimensions we would advise the student to follow the following order of work3 ,first1 cut the rabbet4 ,second1 stick the center bead and cluster of beads or reeding4 ,the reeding is done by first sticking one of the beads by means of the guide piece and then letting one of the quirks of the bead plane follow in the quirk of the bead already stuck4 ,third1 cut the edge and angle beads4 ,fourth1 stick the molding4 ,illustration3 ,,fig4 #he4 ,in ,fig4 #he is shown the molding plane held in position for work4 ,on the front end of the plane will be found a line1 which must be kept vertical when the plane is at work4 ,finish the beads with sand paper in order to remove all roughness4 ,bead and molding plane irons are ground on an emery wheel with a rounded edge4 ,the sharpening is done with a slip-stone4 ,a slip-stone used for beads and molding planes is wedge-shaped in the cross section1 with rounded edges 7see ,fig4 #hf74 ,illustration3 ,,fig4 #hf4 ,where sharp corners occur in molding plane irons1 triangular and square slips are used4 ,,exercise ,,number #f4 ,it has already been mentioned that a bead is used in decoration4 ,an application of the bead as a decoration is given in connection with the use of the rabbet in this exercise1 the bead can be applied to door frames where glass panels1 etc41 are to be used4 ,illustration3 ,,fig4 #hg4 ,in ,fig4 #hg is shown the working drawing4 ,the features in this exercise to be specially noticed are the method of joining the bead so as to form a continuous bead around the edge1 the method of laying out and cutting the shoulder so that the opening in the frame will be kept to size2 the mortise and tenon used here is what is called a blind mortise and tenon4 ,having noticed these features1 proceed to prepare the material1 by methods previously given1 to dimensions called for in the drawing4 ,the requirements for this exercise are that all measurements be correct1 that all joints fit closely1 that the angles be right angles1 and that the work be finished in a neat workmanlike manner4 ,the material having been prepared1 proceed to lay the work out4 ,suppose this exercise to be the top of a glass panel door2 the pieces on the sides of a door are called the stiles2 the cross-pieces are called the rails1 and1 according to the position they occupy1 are called respectively the top rail1 the mid-rail1 and the bottom rail4 ,the pieces that stand in the center are known as muntings4 ,to lay out the work1 mark out the mortise on the top of the stile about #a inches from the end4 ,it will be noticed that the mortise is not so long as the top rail is wide2 the piece that is cut out of the tenon is known as a rebate or rabbet4 ,the reason for cutting out this piece and shortening the mortise is to strengthen the joint by leaving a piece of solid wood so that the mortise will not be open on the end4 ,fig4 #hh shows the piece marked out for the stile2 the arrow heads in the figure are known as witness marks and show between what lines the cutting is to be done4 ,illustration3 ,,fig4 #hh4 ,the shoulders on the top rail and on the muntings are to be specially noticed4 ,in laying out the top rail the opening between the munting and the stile is #d inches4 ,the shoulder on the face side of the top rail reaches to the farthest side of the bead so as to form a close fitting joint1 and the shoulder on the back reaches to the bottom of the glass rabbet4 ,in order to keep the opening as called for in the drawing and to miter the bead so as to make it continuous around the edge1 lay out the work in the following manner3 ,locate a line on the edge of the rail that will represent the side of the opening next to the stile1 leaving enough for the tenon2 then lay off the width of the opening2 draw a line which will represent the end of the mortise for the munting2 mark the length of the munting mortise4 ,on the inside of each end of the mortise lay off the width of the bead which is stuck on the munting4 ,return to the first line which represents the opening1 and add to the outside of that the width of the bead and rabbet2 then from those lines mark across the face from the line which will represent the bead1 and across the back from the line which represents the depth of the glass rabbet4 ,illustration3 ,,fig4 #hi4 ,prepare the shoulder lines for the saw as directed in previous work4 ,the lines to be drawn on the edge of the rail are shown in ,fig4 #hi4 ,the shoulders on the munting are prepared in the same way as the rail4 ,in marking the sides of the mortise and tenon use the mortise gauge 7see ,fig4 #gc74 ,cut the mortise and the tenon as directed in previous work1 using a narrow chisel to remove the chips from the mortise4 ,the bead is to be joined so that it will appear continuous2 the method of joining is called mitering4 ,a miter is made by cutting1 at an angle of #de degrees1 the pieces to be joined4 ,the practical man will try many methods of cutting material in order to save time4 ,for instance1 if he is to make frames where the corners are to be mitered1 he will make a miter box4 ,this box 7which is not a box at all7 is three pieces fastened together to form a bottom and two sides1 all of which must be true before being nailed together2 then by cutting across the sides in both directions with the saw at an angle of #de degrees and square to the bottom1 the so-called miter box is made1 an illustration of which is shown in ,fig4 #ij4 ,iron miter boxes are now in general use2 of these ,fig4 #ia is a good representation4 ,illustration3 ,,fig4 #ij4 ,in the mitering of the bead1 a templet1 which can be made by the student1 is of great service4 ,illustration3 ,,fig4 #ia4 ,a templet is a mould or pattern used as an auxiliary4 ,the templet for this work is made in the following manner4 ,take a piece and rabbet out one corner as shown in ,fig4 #ib2 then cut the ends as shown in ,fig4 #ic1 which are at #de degrees4 ,with this templet placed on the work as shown in ,fig4 #id1 with a chisel cut off the bead1 which protrudes beyond the templet4 ,illustration3 ,,fig4 #ib4 ,illustration3 ,,fig4 #ic4 ,illustration3 ,,fig4 #id4 ,illustration3 ,,fig4 #ie4 ,at the mortises remove part of the bead as shown in ,fig4 #ie2 then place the templet in position1 and cut to the angle4 ,care should be taken to see that the mortises are cut square to the edges on the ends1 so that they will not squeeze the tenon when putting the work together4 ,after all cutting and fitting is done glue the work 7see note on glue at the end of the book71 and clamp the pieces together with handscrews4 ,handscrews are of the form as shown in ,fig4 #if4 ,illustration3 ,,fig4 #if4 ,in order further to strengthen this kind of joint1 small iron pins may be driven into the back through the tenon1 but they must not come through the work4 ,the pins may be made by cutting wire brads off to the required length and driving them in and setting them below the surface with a nail set4 ,after the glue is set finish off the work with a smooth plane4 ,,exercise ,,number #g4 ,,dovetailing4 ,one of the most important methods employed by the joiner is that termed dovetailing1 which is of three kinds1 namely1 common1 lap1 and miter4 ,common dovetailing 7see ,fig4 #ig7 shows the form of the pins or projecting parts1 as well as the excavations made to receive them4 ,lap dovetailing is similar to this1 but in that system the ends of the dovetails of the side ,a1 ,fig4 #ih1 are shortened1 and the recesses which are to receive them in ,b are not cut through when joined together2 only the ledge is visible on the return side4 ,illustration3 ,,fig4 #ig4 ,illustration3 ,,fig4 #ih4 ,illustration3 ,,fig4 #ii4 ,illustration3 ,,fig4 #ajj4 ,miter dovetailing 7sometimes also called secret dovetailing7 conceals the dovetails1 and shows only the miter at the edges4 ,the manner in which this joint is made will be understood from ,fig4 #ii1 in which the two parts ,a and ,b are given1 each part being lettered to correspond with the position it is to occupy when the sides are joined4 ,concealed dovetailing is particularly useful where the faces of the boards are intended to form a salient angle2 that is1 one which is on the outside of any piece of work2 but when the faces form a re-entrant angle1 that is1 a joint to be seen from the inside1 common dovetailing will answer best2 for1 first1 it is stronger1 because the dovetails pass entirely instead of only partly through2 secondly1 it is cheaper1 for the dovetails which go through the whole wood take up much less time in working than where a miter has to be left2 and further1 if well executed1 the dovetails are1 by the very nature of the work1 concealed internally4 ,fig4 #ajj shows a variation of the common dovetail1 used in attaching the fronts of drawers to the sides1 and for similar purposes4 ,illustration3 ,,fig4 #aja4 ,in ,fig4 #aja is given the working drawing of the common dovetail1 and ,fig4 #ajb1 ,a-,b shows the details of each piece4 ,the stock can be prepared in one piece 7having it long enough so that if a poor joining is made1 the dovetails can be cut off and new ones cut on this piece74 ,after planing1 cut in two1 square one end of each piece 7the ends to be joined74 ,to lay out the work1 it is advisable to lay out the piece with the pins or tenons first4 ,from the squared end measure in the thickness of the side2 then mark on both sides1 using the knife to draw the lines4 ,illustration3 ,,fig4 #ajb4 ,on the face side 7which is the side that would be toward the inside of a box7 lay off the lines shown for the pins in the detail marked ,a1 ,fig4 #ajb4 ,these lines can be drawn from the working edge with a gauge1 or1 if the ends are perfectly square1 the square can be used 7the lines being parallel with the edge74 ,from these lines will be drawn the oblique lines across the end with the bevel set at a taper of #a inch to #d inches4 ,the bevel can be set by the steel framing square1 by the methods already given4 ,after drawing the lines saw down the required depth on the outside of the line1 and remove the pieces between the pins or tenons by first boring a hole through the piece to be removed1 then cutting from both sides with the chisel4 ,illustration3 ,,fig4 #ajc4 ,illustration3 ,,fig4 #ajd4 7,the boring is done with the brace1 ,fig4 #ajc1 and the bit1 ,fig4 #ajd4 ,bits are of different forms2 ,fig4 #aje shows a number of different styles74 ,it will be necessary only to draw the lines across the end of the piece marked ,b1 ,fig4 #ajb1 as the marking of this piece for the recesses will be made by holding in position the piece already cut1 and scribing or marking the pins or tenons1 then squaring the lines across the end4 ,great care must be taken in sawing the mortises if a perfect fit is desired4 ,this can be done only by sawing on the inside of the line1 cutting the lines in two4 ,the pieces should go together by light driving1 and should be perfectly square on the inside4 ,if the joint is satisfactory take apart and glue together4 ,after the glue is dry the joint can be smoothed and the ends of the pieces cut off and squared to the proper dimensions given in ,fig4 #aja4 ,illustration3 ,,fig4 #aje4 ,,exercise ,,number #h4 ,,door ,,frame ,,for ,,glass ,,panel4 ,the preceding exercises are only a few of the methods employed by the workmen in joining pieces together4 ,the experience gained in their execution will be of great help in the work that follows4 ,fig4 #ajf shows the working drawing for a small frame door for a glass panel2 the details and sections of the pieces required are shown in ,fig4 #ajg4 ,it must be taken into consideration that this door is actually to fit into an opening of a given size1 and a little forethought will be necessary to work the material so that when all cutting and fitting is done the correct size will be the result of the labor expended4 ,study the drawing and make out a bill of lumber1 noting what work must be done in order to proceed intelligently with the work4 ,the outside size of the door is #i inches by #ab inches1 and the width of the stiles is #b inches4 ,the width of the top rail is #a inches1 and the width of the bottom rail is #b inches1 so that 7allowing a little on the length of the rails so that the tenons would project through the stiles about inch1 and the stiles would project beyond the rails about inch1 leaving what is known to workmen as horns7 the bill of lumber would be3 #b pieces #ac in #b in #a in4 ,bill of ,lumber #a piece #i in #b in #a in4 #a piece #i in #a in #a in4 ,illustration3 ,,fig4 #ajf4 ,it must also be taken into consideration that the door must be planed on the edges and the ends when it is all put together2 it will be necessary to allow for this work when the material is being planed2 having the stiles and rails a little over size in width will provide for this4 ,the laying out of this exercise is important1 for there are several things to be considered2 we must first find out the depth of the rabbet and the width of the molding before we proceed to lay out the work4 ,it will be seen from section drawing ,a1 ,fig4 #ajg1 that the molding from the edges of the piece to the quirk is _/ inch1 7this is the depth that the molding plane cuts72 the rabbet is also the same depth2 the opening between the stiles is #e inches2 to this must be added the depth of the molding and rabbet on both sides1 which makes the distance between the shoulders of the rails #e inches4 ,a simple rule to follow in laying out work1 where pieces are in pairs or right and left1 is to place the pieces together with their faces out and their edges up4 ,placing the rails in this position1 lay out the rails4 ,at the end draw a line across the edges4 7,it must be remembered that when the pieces were sawed out1 they were left a little longer than the width of the door1 so that the position of the first line is to be determined by the amount of extra stock left74 ,from this line measure off the width of the door and mark across the other end4 ,from these lines measure in the width of the stiles1 which is #b inches2 this gives the width of the opening4 ,illustration3 ,,fig4 #ajg4 ,we saw from ,a1 ,fig4 #ajg1 that the depth of the molding and the rabbet was _/ inch2 so from the #b inch line we measure back on each end _/ inch2 this gives the lines from which the shoulder lines are to be drawn across the faces and the backs of the pieces4 ,prepare shoulders for back-saw as directed in other work4 ,now1 taking the stiles1 and placing them together by the rule given1 lay out the lines for the extreme length of the door1 and from one end measure in the width of the top rail 7#a inches74 ,from the other end measure in the width of the bottom rail 7#b inches74 ,from these lines measure back the length of the mortises4 ,it will be understood that by measuring is meant that lines are to be drawn4 ,lines are also needed on the back edges of the stiles for the mortises1 as the mortise is cut all the way through4 ,to obtain those lines apply the method given in exercise ,no4 #c2 never mark lines across the outside of the work unless it is absolutely necessary1 and then with pencil only1 so that they may be cleaned off when the work is being finished4 ,the marking of the sides of the mortises and the tenons is done with the mortise gauge set to the dimensions given in the drawing1 the gauge to be applied to the face side4 ,cut out mortises and tenons as in former work1 using the inch mortising chisel which is found in the tool room4 7,all gauging for mortises and tenons having been done from the face side1 and all cutting having been done to the lines1 it necessarily follows that the face side of the door will be flush4 ,this is absolutely necessary for the molding and the rabbet to match47 ,take the combination plow and set it to cut the rabbet1 applying the fence to the face side and cutting the rabbets out of the corners opposite to where the plow is placed4 ,see that the shoe is set to stop the plane cutting when the desired depth is reached4 ,illustration3 ,,fig4 #ajh4 ,fig4 #ajh shows how this may be done4 ,after cutting the rabbet1 stick the molding 7which in this case is called a ,gothic or ,scotia molding74 ,prepare the stiles as shown in ,fig4 #ajg1 ,b4 ,the joining of the molding is to be what is known as coping4 ,this is done in the following manner3 ,the molding is left projecting beyond the inside end of the mortises1 as shown in ,fig4 #ajg1 ,b4 ,the molding on the rails is to be cut at an angle of #de degrees4 ,this is done by taking the templet used in ,exercise ,no4 #f and placing it on the rail as shown in ,fig4 #ajg1 ,c1 and cutting the molding with a chisel down to the tenons4 ,this will give the line by which the coping is to be cut4 ,the cutting is done by using the gouge1 ,fig4 #aji1 one that is ground on the inside preferred2 cut the coping deep enough to receive the molding which projects beyond the mortise1 ,fig4 #ajg1 ,b4 ,the line which will show at the joining of the molding on the face of the exercise will look like a miter joint4 ,this joint has the advantage of always being close1 for no amount of shrinking or swelling will open it4 ,illustration3 ,,fig4 #aji4 ,after all cutting is done1 put together and see if all joints fit2 having tenons cut as shown in ,fig4 #ajg1 ,c4 ,this allows room for wedges4 ,the wedges are cut with a back-saw out of a piece of board of the same thickness as the tenons4 ,fig4 #aaj shows how this is to be done4 ,if the joints are all satisfactory open them enough to allow the glue brush to go between the shoulders and the stiles2 put a little glue on both sides of the tenons and drive together1 putting clamps or large handscrews on to bring the joints up close2 dip the points of the wedges in glue and drive them between the ends of the mortise and the edges of the tenon2 remove the clamps and let the glue set before smoothing the sides of the work4 ,the door1 when the wedges are driven and clamps removed1 will look as shown in ,fig4 #aaa4 ,illustration3 ,,fig4 #aaj4 ,illustration3 ,,fig4 #aaa4 ,the ends of the tenons and horns are sawed off and the edges planed4 ,the gouge1 7,fig4 #aji71 has a blade that is curved in its section the whole length2 gouges are of different sweeps4 ,the bevel which is ground on the cutting edge may be on the concave or the convex side2 and according to this grinding the tools are known as inside and outside gouges4 ,the sharpening is done with a slip-stone4 ,after the glue is hard enough1 smooth the surface with the smooth plane1 and then take sand paper and finish the work4 ,put the sand paper on a block1 being careful not to round the surfaces when using it4 ,,exercise ,,number #i4 ,,bench ,,hook4 7,this exercise may be omitted at the option of instructor47 ,it will not be necessary to give many directions for this exercise1 as the student by this time should have learned the sequence of operations in preparing material4 ,the special points to be noticed in the working out of this exercise are that the sides are cut out with the rip-saw2 the ends cut with the back-saw2 the sides to be finished with the plane1 using the rabbet plane to plane the corners at the stops at the ends1 and the jack-plane for the rest of the surfaces4 ,surfaces are to be finished with sand paper and shellaced4 ,in ,fig4 #aab will be seen the working drawing4 ,the thickness of stock required is #a inches4 ,the angle at which to set the bevel for the ends is inch in #d inches4 ,all the other dimensions are found on the drawing4 ,after the piece is cut out and finished with sand paper1 give it a coat of shellac varnish and let it dry from #h to #aj hours4 ,then with ,no4 #jj sand paper smooth the shellac 7but do not cut through74 ,after which give another coat4 ,to obtain a glossy surface the pores of the wood must be filled with the varnish2 by repeating the operation with the sand paper and giving another coat of shellac1 a very good surface will be obtained4 ,illustration3 ,,fig4 #aab4 ,care must be taken in putting on the shellac varnish not to put it on too thick1 as it sets or dries quickly and an uneven coat of varnish is unsightly4 ,spread it quickly2 see that plenty of shellac is on the brush2 do not go over it after it has once been spread evenly1 as it will roll up in small lumps which will have to be left to dry before anything can be done to it1 and then it will take a great amount of labor to smooth it4 ,this is one method of finishing with shellac varnish4 ,to prepare shellac varnish see note4 ,,exercise ,,number #aj4 ,,box ,,with ,,sliding ,,top4 ,there are so many ways in which a box may be made that it would be out of place here to enumerate them all4 ,the joints used here are known as butt joints4 ,fig4 #aac is the working drawing2 the details of the work are shown in ,fig4 #aad4 ,the first step to be taken in making this exercise is to make out a bill of lumber4 ,by the drawing we find the length of the box to be #ab inches1 the width to be #g inches1 and the height to be #e inches1 allowing inch on each end of the sides for finishing4 ,the side pieces would be #ab inches4 ,the thickness of the sides is inch and the ends are let into the sides inch as shown in ,fig4 #aad1 ,a2 this would make the length of the ends #f inches finished2 one end being inch narrower than the other to let the top slide over it in the groove on the sides4 ,the width of one end would be #e inches1 and of the other #d inches4 ,the bottom is to be let into the sides and ends in a groove which is inch deep4 ,this would make the bottom #aa inches long1 #f inches wide1 and inch thick4 ,the top slides in the groove shown in the section at ,b1 ,fig4 #aad1 which is inch deep1 and the end of the top goes into the groove in the end of the box1 which is inch deep4 ,this would make the length of the top #aa inches1 the width #f inches1 and the thickness inch4 ,the bill of lumber would be as follows3 ,bill of ,sides1 #b pieces #ab in in4 ,lumber ,top1 #a piece #aa in #f in in4 ,finished ,cherry or ,end1 #a piece #f in #e in in4 ,birch ,end1 #a piece #f in #d in in4 ,size4 ,bottom1 #a piece #aa in #f in in4 ,illustration3 ,,fig4 #aac4 ,illustration3 ,,fig4 #aad4 ,the material used in this exercise will be planed nearly to the thickness by the planing machine1 enough being left to smooth the work4 ,select and lay out on a board the pieces required 7allowing enough for the work on the edges74 ,saw out the pieces2 then plane the edges by the methods given1 omitting the planing of the face side and the back1 but select and mark the sides for the working faces4 ,the extremities of the end pieces are to be planed perfectly square to insure a close fit against the sides4 ,the method of planing the ends is to plane half way through from the edge1 then plane from the other edge1 being careful not to let the plane go all the way across1 as the corner will be liable to break off4 ,it will not be necessary to plane the ends of the sides until the box is glued together1 when they can be finished off even with the end4 ,to lay out and prepare the sides1 place the pieces together1 faces out and edges up1 draw a line across the edges at the ends for the full length of the box1 then measure back the thickness of the ends4 ,from these lines mark across the faces of each piece4 ,it will be noticed that one end of each side can be sawed across1 but the other end where the top enters the grooves will have to be cut partly with a saw and the rest of the way with a chisel4 ,prepare the ends the same as the shoulders of the tenon1 being careful not to cut the groove all the way across where the top enters4 ,gauge the depth to which the ends go into the sides1 and after sawing across remove the pieces from the corners with a chisel4 ,it will be necessary only to have the end pieces the correct length1 as there will be no lines to be drawn on them4 ,take the plow plane and put a inch iron into it1 and set it for the grooves that are cut out of the sides and the ends4 ,the grooves are all the same distance in from the edges and are all the same depth4 ,to protect the bench while using the plow1 get a piece of board and on it fasten pieces to hold the work while running the groove4 ,this is done by sawing out three or four pieces as shown in ,fig4 #aae1 and fastening them to the board as shown in ,fig4 #aaf4 ,illustration3 ,,fig4 #aae4 ,illustration3 ,,fig4 #aaf4 ,illustration3 ,,fig4 #aag4 ,the tongue on the edges of the top and the bottom can be made with the plow by fastening the pieces in the vise and rabbeting out the corners as shown in ,c1 ,fig4 #aad4 ,after all cutting and fitting has been done smooth the inside of each piece with the plane2 then take the steel scraper 7shown in ,fig4 #aag71 and scrape the surfaces2 then finish with sand paper2 glue the corners2 put the bottom in place and fasten together with hand screws and let dry4 ,there are no nails used in the construction of this exercise4 ,finish the outside of the box in the same way that the inside was done4 ,after finishing the outside and the top1 use filler or stain to color the wood4 ,the filler is a mixture of fine whiting and linseed oil with a little turpentine to act as a dryer1 colored with any of the pigments desired4 ,a little experience is necessary in using the colors to obtain the desired shade4 ,the filler comes already prepared1 of a cream color1 and must be colored as required4 ,apply the filler with a brush1 and let it stand on the wood for a short time2 then rub it off with cotton waste or a rag2 then set the work aside until the surfaces are perfectly hard2 then give a coat of shellac varnish and let it dry4 ,repeat the operation two or three times1 using sand paper to smooth each coat of varnish4 ,after the varnish is thoroughly hard1 take powdered pumice and oil or water1 using a soft rag1 and rub the surfaces until they are smooth2 then take rotten stone and oil and rub until it has a fairly bright gloss4 ,rub with a soft dry cloth1 then finish with the palm of the hand until a bright glossy surface is obtained4 ,for polishing see note4 ,,problem ,,in ,,truss ,,work4 ,the preceding work is what might be termed joiner work2 the carpenter also is called upon to join timbers1 and uses to a great extent the same joints that the joiner does1 but the joiner's work is usually where it must bear inspection1 whereas the carpenter's work is generally covered over either by plaster or casings4 ,a single mechanic may be able to perform every kind of work that is required in the construction of a building2 thus the two trades are usually spoken of as one1 i4 e41 carpenter work4 ,illustration3 ,,fig4 #aah4 ,in ,fig4 #aah is shown a method that is sometimes used in the construction of trusses4 ,a truss is that part of a roof which supports the purlines1 rafters and sheathing4 ,a roof is the covering or upper enclosure of a building with the frame work by which it is supported4 ,it may be of almost any shape4 ,a light roof is usually of moderate span1 without trusses1 the rafters being supported by the walls or partitions of the building4 ,a heavy roof is employed for wider spans1 and the rafters are then supported by the purlines and trusses4 ,a truss is usually required for spans of more than #bj feet4,a ,a ,definitions from ,ricker's ,trussed ,roofs4 ,the span of a roof is the horizontal distance between the external surfaces of the walls of the building2 its rise is a vertical let fall from its ridge to a horizontal line joining the intersections of the external surfaces of the walls and the roof surfaces4 ,the inclination of a roof equals the angles between its surface and a horizontal4 ,the span of a truss is the horizontal distance between the centers of its end joints1 and is usually the same as that between the centers of the walls1 which support the truss4 ,its rise is the vertical connecting its span line and the center of the joint at the apex or highest point of the truss4 ,a member of a truss is any straight or curved piece which connects two adjacent joints of the truss4 ,the upper chord is composed of the members which form the upper edge or margin of the truss4 ,each half of the upper chord of a triangular truss is often called a principal4 ,the lower chord is composed of the members forming the lower edge of the truss4 ,if straight1 this is termed the tie-beam or tie-rod2 the first being a wooden timber2 the second1 one or more rods of iron4 ,the web members connect the joints of one chord with those of the other1 and may be radials in case of curved trusses1 diagonals1 or verticals4 ,they are commonly called struts where they resist compression1 ties where they resist tension1 and strut-ties where they resist compression and tension4 ,a joint is the connection of two or more members whose center lines must intersect at a common point if possible1 this common point being the center of the joint4 ,the rafters of light roofs are not trussed1 but rest directly on the walls1 and support the sheathing and covering of the roof4 ,heavy roofs are supported by trusses resting on the side walls4 ,the sheathing is supported by rafters which rest on the purlines1 these being supported by the trusses4 ,the drawing1 ,fig4 #aah1 shows the half of a truss2 the members are the upper chord1 the lower chord1 and a strut4 ,although carpenter work is usually of a rough character1 the joints of a truss should fit snugly so that there will be no room to give when loaded2 so1 for the practice1 the student will plane the stock either to the sizes given in the drawing or double the sizes1 making the whole truss as time and circumstances permit4 7,this to be determined by the instructor47 ,illustration3 ,,fig4 #aai4 ,fig4 #aai shows what is termed a truss diagram2 the distance from point ,a1 to ,b1 is the distance between the center of the walls1 and the angle ,a1 ,c1 ,d1 is the inclination or pitch of the roof4 ,the pitch of the roof is determined by the distance the peak of the roof rises above the walls2 thus if a roof has a quarter pitch1 the peak would rise above the walls one quarter the width of the building2 if half pitch the peak would rise one half the width of the building1 etc4 ,for simplicity in laying out this problem we will make the pitch one half4 ,the points ,a1 ,b1 represent the span of the walls2 also the lines ,a1 ,c1 and ,b1 ,c1 show the outside margin of the upper chord of the truss4 ,by bisecting ,a1 ,b1 and erecting a perpendicular at ,d1 to ,c1 we divide1 the triangle ,a1 ,b1 ,c1 into two triangles1 ,a1 ,d1 ,c1 and ,b1 ,d1 ,c4 ,now1 the line ,a1 ,c1 is the hypotenuse of the right-angled triangle ,a1 ,d1 ,c4 ,we had one example of finding the length of the hypotenuse of a right-angled triangle in ,exercise ,no4 #d4 ,the workman who lays out rafters or trusses rarely takes time to calculate the hypotenuse of the triangle1 but uses the steel framing square in the following manner4 ,he obtains the horizontal distance at the bottom of the rafters1 and the pitch4 ,take for example a truss that is #cj feet across from point to point1 and a pitch of one half2 then the distance the peak would rise would be #ae feet4 ,take the framing square and lay it on the chord1 taking #ab inches on the blade and #ab inches on the tongue and mark off #ae triangles as shown in ,fig4 #abj1 which is half the width of the building4 ,the rise was also #ae feet2 so by using the square as shown1 we obtain the rise and the run of the rafter4 ,the line on one side of the square gives the angle at which the chord or rafter is to be cut at the peak4 ,the line at the other end of the chord gives the line from which to measure the distance the tenon and shoulders go down into the tie-beam4 ,the strut shown in the drawing1 ,fig4 #aah1 has one joint square1 and the other at an angle of #de degrees4 ,where the pitch is one half1 the angles are #de degrees and right angles4 ,illustration3 ,,fig4 #abj4 ,the line ,e1 ,d1 on the diagram represents a tie-rod1 which by the construction of this truss would naturally tend to stiffen the structure by supporting the center of the tie-beam4 ,wire1 nuts1 and washers are supplied 7where the student makes a whole model7 to make the tie-strut4 ,the student in writing out notes will make two sketches of trusses he may have observed on shop visits4 ,the buildings visited almost all have trussed roofs1 either wood or iron4 ,,problem ,,in ,,stair ,,building4 ,two or three students may work together on this problem4 ,read all through before commencing work4 ,the stair and the hand-rail may be considered as one problem1 since the hand-rail forms part of the completed staircase1 but they are separated into two distinct problems for convenience in working them out4 ,in ,fig4 #aba1 is shown the plan and the elevation of the stair1 the dimensions for each piece required are calculated by the student from this drawing4 ,the name of each piece also is found in ,fig4 #aba4 ,the nosing is to be added to the width of the tread4 ,the nosing is the part which projects beyond the front of the riser4 ,the thickness of the stringers is to be inch1 the risers inches1 the treads inches1 and the well-hole is to be built up as in practical work1 as shown in ,fig4 #abb4 ,illustration3 ,,fig4 #aba4 ,,form ,,of ,,bill ,,of ,,lumber4 ,length ,width ,thickness ,wall stringer 8 8 8 ,outside stringer 8 8 8 ,risers 7#e pieces7 8 8 8 ,treads plus nosings 7#d pieces7 8 8 8 ,top tread 7#a piece7 8 8 8 ,well-hole piece 8 8 8 ,illustration3 ,,fig4 #abb4 ,after the material is prepared1 proceed to make the templets4 ,the templets required are shown in ,fig4 #abb4 ,templet ,e1 is used to lay out the brackets for the risers and treads on the wall and outside stringers2 templet ,g1 to lay out the housing for the treads on the wall stringer2 templet ,h1 for the housing for the risers on the wall stringer4 ,now take the piece for the wall stringer1 ,a1 ,fig4 #abb1 and draw the line ,x1 ,y2 proceed to lay it out4 ,commencing at the bottom1 lay templet ,e on the piece as shown at #a ,a1 and draw lines for the riser and the bottom of the tread2 then place the templet as shown by #b ,a1 7remembering that in order to have the bottom step the same height as the others the bottom riser must be the thickness of the tread narrower than the others4 ,this will be seen by looking at the drawing1 ,fig4 #abb1 which shows the height of the risers74 ,then place templet ,e1 in position as indicated by #c ,a1 and draw the line for the riser and the tread1 and so on until all the lines have been drawn which will represent the front of the risers and the bottom side of the treads4 ,after having drawn these lines1 take templet ,g1 and place it on the tread line as shown at ,j1 ,fig4 #abb1 and draw the lines for the top of the steps1 the nosing1 and the wedges2 the thickness of the step is to be measured up from the tread line4 ,now take templet ,h1 place it in position on the riser lines1 ,j1 ,fig4 #abb1 draw lines back of the riser line for the thickness of the risers and the wedges2 then proceed to cut out the housing in the following manner3 ,take a center or auger bit the same size as the thickness of the step and bore the depth that the housing is to be1 as shown at #e ,a1 ,fig4 #abb2 then take a chisel and cut out as shown at #d ,a1 ,fig4 #abb4 ,this will give room to use the back-saw to cut the rest of the lines4 ,now take a chisel and remove the pieces to the depth required1 which1 in this case1 is inch2 cut for the risers and remove in the same manner4 ,in larger work of this kind a router should be used4 ,to lay out the outside stringer take templet ,e1 ,fig4 #abb1 and mark as at ,b1 ,fig4 #abb4 ,the riser is to form a miter with the front of the bracket2 so it will be necessary to begin at the top step and saw the stringer off square to the face2 then take a bevel 7which will be set at an angle of #de degrees7 and mark from the riser line so that it will form a miter4 ,saw down this line2 then saw the next tread line square to the face4 ,repeat with the bevel as before1 and saw the next riser line1 and so on until the bottom is reached4 ,c1 and ,d1 ,fig4 #abb1 show how the risers and the treads are to be cut4 ,the ends of the risers are to be cut at an angle of #de degrees to fit the bracket on the outside stringer4 ,the end of the step is cut as shown in order to receive the return nosing4 ,the dovetails on the end are to receive the baluster which supports the hand-rail4 ,the piece ,f1 which is to form the well-hole1 is built up of pieces1 then planed out with a round bottom plane4 ,the method of fastening this piece to the stringer is to halve the stringer and to cut out the well-hole piece to receive it2 then glue and screw together4 ,i1 ,fig4 #abb1 shows what the top or landing step is to be4 ,the curves that are shown at the bottom and the top of the stringers are known as easings4 ,the student will use his own ingenuity in forming the easing1 remembering that a little glue will fasten pieces together1 and that it is not necessary to take a board the whole width at those points of the stringers to accomplish this4 ,to put the stairs together after all the pieces have been prepared1 place the bottom riser in place and fasten it in with glue and a wedge2 then toe-nail it into the stringer from the back4 ,now fasten the outside stringer to the riser1 bracing it into position2 then fit the second riser and the first tread into place2 then fasten with glue and wedges1 and toe-nail the riser and the tread to the stringer4 ,the treads will be nailed to the risers so as to unite the work firmly together4 ,another method of fastening the riser to the tread is to groove the front edge of the tread and have a tongue on the riser1 an illustration of which is shown in ,fig4 #abc4 ,illustration3 ,,fig4 #abc4 ,to decorate stairways mouldings are used2 generally a cove moulding is fastened under the front and the end of the tread1 an illustration of which is shown at ,fig4 #abd4 ,the hammer is used in this problem2 it is hardly necessary to explain its use4 ,illustration3 ,,fig4 #abd4 ,toe-nailing is the driving of nails obliquely in order to fasten two pieces that may be at an angle to each other1 as illustrated by ,fig4 #abe4 ,illustration3 ,,fig4 #abe4 ,,problem ,,in ,,hand ,,railing4 ,the student1 not having had wood turning as yet1 will not consider the making of the turned balusters1 such work being introduced in the course in wood turning4 ,in commencing work on the hand railing1 notice the several parts that have to be made2 first1 the newel post2 second1 the easing at the bottom of the stairs2 third1 the straight piece of railing2 fourth1 the return or twist at the top4 ,illustration3 ,,fig4 #abf4 ,fig4 #abf shows the working drawing for the newel post1 the explanation of which will be unnecessary4 ,the easing is the bend in the rail before it strikes the newel post4 ,the method of laying out a graceful easing is shown in ,fig4 #abg4 ,the straight piece of rail is worked out with the hollow and the round planes which are to be found in the tool room4 ,the return or twist requires to be developed by descriptive geometry1 and to do this we will refer to drawing ,fig4 #aba in order to find the diameter of the well4 ,it will be noticed that one half of the twist is parallel with the landing and that the curve for that half would be a true quarter circle1 while the other half of the twist1 that part which follows the incline of the stairs1 would be part of an ellipse4 ,to demonstrate this1 take a cylinder and cut it at an angle to its axis2 the section through which the cylinder was cut would be an ellipse1 an illustration of which is shown by ,fig4 #abh4 ,to develop this part of the ellipse lay out1 on a board1 by the following method1 a full sized drawing of the rail required4 ,illustration3 ,,fig4 #abg4 ,illustration3 ,,fig4 #abh4 ,on the board draw a straight line which will be the center line of the well1 and on any convenient point placing the leg of the compass 7which will be set at the required radius71 describe a semi-circle1 which will represent the diameter of the well given in the plan in ,fig4 #aba4 ,now from the semi-circle draw lines parallel to the center line1 which will represent the outside stringer of the stair and the casing on the landing4 ,fig4 #abi shows the development thus far4 ,the rail is to be #a inches wide and the balusters to be inch square4 ,the side of the balusters which come on the outside of the stairs comes even with the stringer1 and the rail is to be placed so that the balusters are on its center4 ,from the line which is already drawn to show the part which is parallel to the landing1 draw a line for the center of the rail1 and on each side of the center line lay out half the width of the rail4 ,on the other half1 which represents the outside stringer 7the incline of the twist71 draw the center line of the rail for the straight part2 then draw lines for the width of the rail as on the other half4 ,now1 to obtain that part of the ellipse required1 take the pitch-board ,e1 ,fig4 #abb1 and place it on the drawing as shown in ,fig4 #acj2 then draw lines from points ,x1 ,y1 ,z1 perpendicular to the center line4 ,now set the compass to the distance ,a1 ,b1 and mark the distance ,a1 ,b1 on each side of the point ,y4 ,this gives the width of the piece required for the twist on the center line4 ,illustration3 ,,fig4 #abi4 ,describe the ellipse4 ,the major chord would be #b 7,e1 ,f17 for the outside ellipse1 and the minor chord is ,g1 ,h1 for the inside4 ,illustration3 ,,fig4 #acj4 ,there are several methods used in describing an ellipse which the student no doubt has used in studying geometry1 but the practical stair builder uses a trammel and block4 ,the block is grooved through its center as shown in ,fig4 #aca1 and the trammel is a strip of wood2 a pencil is fastened on one end and pins are fixed at points to be found by trial near the middle4 ,fig4 #acb shows how the trammel is made4 ,the pins slide in the grooves of the block1 and the pencil marks the curve required4 ,illustration3 ,,fig4 #aca4 ,illustration3 ,,fig4 #acb4 ,illustration3 ,,fig4 #acc4 ,fig4 #acc gives a very comprehensive idea of the pieces before they are worked down4 ,the pieces at the right and at the top are the moulds1 and the mould for the rail is on the top of the piece which is seen in the front of the figure4 ,after having laid out the lines as directed make the moulds or templets out of thin stuff2 then mark the stock 7out of which the pieces of the rail are to be made71 by the templets1 and saw them out1 either with a compass saw1 or with the band-saw where it is convenient to do so4 ,it will be noticed that the piece out of which the curved or twisted piece is made is thicker than the piece which is parallel with the landing4 ,after the pieces are sawed out1 proceed to lay out the lines by which the rail is to be worked out4 ,the templet ,e1 ,fig4 #abb1 is used to obtain the perpendicular and the horizontal lines1 from which is drawn the rectangle that is seen on the end of the rail1 7in ,fig4 #acc17 and the templet seen on the right 7in ,fig4 #acc7 is used to obtain the curved lines on the top4 ,work off the surplus stock on each side of the rectangle with the draw knife and the spokeshave1 then work off the top and the bottom1 taking care to make a graceful curve on the top and the bottom4 ,then mark the shape of the rail on the end and work out4 ,in ,fig4 #acd is seen the finished twist developed from the pieces shown at ,fig4 #acc4 ,illustration3 ,,fig4 #acd4 ,,notes4 ,,to ,,dissolve ,,shellac4 ,put gum shellac into a glass or earthen vessel 7a wooden box coated inside with glue makes a very good vessel in which to dissolve shellac71 and pour over it alcohol enough to cover the shellac2 keep stirring it until no lumps remain4 ,this will take from two to three hours1 according to quantity4 ,if left in a tin can the shellac becomes very dark4 ,to clear it when dark add a little oxalic acid and stir until cleared4 ,,to ,,polish ,,with ,,shellac4 ,dissolve shellac in #ij per cent alcohol4 ,stir for two hours1 though not continually2 do not allow it to stand long enough for lumps to settle4 ,after the shellac is dissolved the polish is ready for use4 ,now take a piece of old soft woolen material1 and form it into a ball about the size of an egg in a way to permit the lower side to remain smooth4 ,on the latter pour about from one half to one thimbleful of the polish4 ,around the whole put a four-cornered piece of old linen about #aj #ac inches1 and fold it around the ball just as you have done with the woolen cloth but in such a way that you can hold it by the end of the goods4 ,on the smooth side put a few drops of linseed oil1 and then begin to polish the surface with a light and even pressure in a circular movement from one side to the other1 forward and backward1 until the entire surface receives a slight covering of polish4 ,when the work becomes more difficult the ball requires moistening by a few drops of oil2 at the same time put a few drops of oil on the plate1 and the ball will move easily again4 ,you must observe the work constantly4 ,if everything is in order the plate as well as the ball will keep clean1 but if the ball sticks to the plate and gets smeary then you will know that the polish is too thick and must be thinned with alcohol1 which you are to put on the woolen cloth1 previously removing the linen and putting it back on the other side2 that is1 turn the linen rag before putting it back on the ball4 ,after having polished it sufficiently so that all the pores of the wood are filled and the surface has a nice gloss1 put another soft linen rag around the ball1 and moisten it with a few drops of alcohol2 again polish as before until the flat surface has a high grade of smoothness and gloss and all the greasy appearance has disappeared4 ,you must be very careful1 however1 to apply but a few drops of alcohol and to press these into the ball as well as possible2 otherwise the strength of it may dissolve the polish in some places entirely4 ,when at last the ball leaves but weak traces1 then polish fast with strong strokes forward and backward until the ball is completely dry and the surface of the wood very glossy4 ,if you polish the finished surface once more after ten days the gloss will be nicer1 as the surface gets harder with age4 ,if you want the polish to be colored use ,curcuma for yellow1 ,sandal for red1 and ,spanish green for green4 ,the color is to be put in a thin coat between two linen rags1 over which should be put a woolen rag4 ,while polishing some of the coloring will stick to the polish4 ,it is not to be expected that by working according to these directions you will learn how to polish perfectly1 as there are always some unlooked-for difficulties1 but generally you can tell what to do in any emergency4 ,,glue4 ,how to dissolve and how to use4 ,glue1 which one workman finds all right and from which he obtains excellent results1 may1 in the hands of another workman1 prove a failure from many causes1 some of which may be that the glue is too thick1 or it may have been chilled before the pieces were clamped together1 or the glue is too thin4 ,the workman has to know from experience just how thick the glue has to be for the work he has on hand4 ,a hardwood piece of work requires a thinner glue than soft wood4 ,the average consistency of glue should be about like that of thin syrup1 and should be applied hot to the work4 ,sometimes in cold weather the glue 8sets0 quickly2 then the pieces to be glued should be heated so that the glue may be kept soft4 ,when the pieces are put together clamp them up quickly or rub them together1 forcing out the surplus glue from the joint4 ,when work is glued together it should stand from eight to twelve hours before being handled4 ,when the end grain of wood has to be glued1 it should first be sized1 that is1 it should be given a coat of glue and let dry4 ,this fills the pores of the wood so that when the joint is made it will hold4 ,there are two kinds of glue1 animal and fish glue4 ,animal glue is made from the refuse of slaughter houses and tanneries1 and the number of grades and colors are innumerable4 ,fish glue is made chiefly from the entrails and skin of fish1 and is mostly in liquid form4 ,to prepare glue1 put as much as is needed in the glue pot and cover over with cold water2 then let it soak from six to ten hours1 according to the quantity2 after this place the glue pot in the water kettle or glue heater1 and apply heat in any convenient way to the water1 which in turn heats the glue4 ,the use of the two vessels is to prevent the glue from burning4 ,glue should always be used as freshly as possible1 for then it holds better than when it is old4 ,it can be made to stand the weather by adding boiled linseed oil4 ,add the linseed oil to the glue slowly1 stirring it all the time1 the proportion of oil to glue being two ounces of oil to sixteen ounces of glue4 ,another method of preparing glue to stand the weather1 is to use skimmed milk instead of water when preparing it4 ,,to ,,true ,,oilstones4 ,oilstones by their continuous use by students become hollow at the center and must be trued up so that plane irons and chisels can be sharpened properly on them4 ,there are a number of methods that can be employed to accomplish this2 any of them1 if tried1 will give good results3 #ast ,method4 ,take a piece of flagstone or any kind of stone that has a flat surface1 and on it place sharp sand and wet it with water4 ,take the oilstone1 and with a circular motion rub on the sand until a flat surface is obtained4 ,the sand should be kept moist during the operation4 #bnd ,method4 ,take a flat board and on it place a sheet of number one and one half sand paper2 moisten slightly and rub the oilstone on it until the desired results are obtained4 ,emery cloth is also good4 #crd ,method4 ,we have obtained the best and quickest results from this method1 which is to have an iron plate finely corrugated and sprinkle ,no4 #cj or ,no4 #dj emery on it2 rub the oilstone over the plate1 sprinkling a little emery from time to time as the work advances4 ,use the emery dry4 ,an oilstone in very poor condition can be trued up by this method in from three to five minutes4 ,a mixture to apply to a hard oilstone to make it 8cut0 when sharpening a plane-iron or a chisel1 is to take glycerine one part and alcohol one part4 ,this mixture will not become gummy1 and an oilstone that is sometimes considered worthless while using common oils1 will be found to give good satisfaction4 ,,tools ,,for ,,schools ,,whittling ,,trays1 ,,with ,,outfits4 ,,sloyd ,,knives4 ,,venetian ,,iron and ,,tools4 ,,wood ,,carving ,,tools4 ,,clay ,,modeling ,,tools4 ,,plaster ,,carving ,,tools4 ,,all ,,the ,,standard ,,goods1 ,,including ,,hammers1 ,,saws1 ,,squares1 ,,chisels1 ,,gouges1 ,,bits1 ,,braces1 ,,gauges1 c41 c41 c4 ,,and ,,the ,,standard ,,benches ,,for ,,one1 ,,two ,,or ,,more ,,pupils4 ,,send ,,for ,,special ,,catalogue4 ,illustration ,,hammacher1 ,,schlemmer ,,co4 #bji ,,bowery1 ,,new ,,york1 ,,since #ahdh4 ,,the ,,brand ,,disston ,,on ,,saws1 ,,etc4 ,,is ,a ,,guarantee ,,of ,,superior ,,quality and ,,workmanship4 ,d #ajj ,a ,,perfectly ,,proportioned ,,beautifully ,,finished ,,saw4 ,illustration ,,send ,,for ,,our ,,handbook4 ,a ,treatise on the care and use of ,,saws4 ,,mailed ,,free4 ,,files ,manufactured from our own make of ,crucible ,steel1 carefully ,forged and ,hardened2 correctly shaped ,teeth4 ,they are the most durable ,,files on the market4 ,we manufacture the ,largest ,line of ,saws in the world4 ,circular ,saws1 ,band ,saws1 ,crosscut ,saws1 ,hand ,saws1 ,back ,saws1 ,gauges1 ,plumb ,levels1 ,screwdrivers1 ,try ,squares1 ,saw-sets1 etc4 ,,henry ,,disston ,,sons1 ,inc41 ,,keystone ,,saw1 ,,tool1 ,,steel ,,and ,,file ,,works1 ,,philadelphia1 ,,penn4 ,construction ,work ,,in ,,cardboard ,,and ,,paper1 ,,without ,,the ,,use ,,of ,,tools1 ,,with ,,course ,,in ,,woodwork for ,fifth and ,sixth ,grades ,by ,,robert ,m4 ,,smith ,supervisor of ,manual ,training1 ,chicago ,public ,schools4 ,a complete course in ,manual ,training for the first four grades4 ,the work is definite1 practical1 simple1 and connects the ,kindergarten with the ,grammar grades4 ,the details are complete4 ,the materials are inexpensive4 ,this course is now being used in a number of the ,chicago ,public ,schools4 ,,the ,,only ,,practical ,,book ,,published ,,covering ,,this ,,work4 ,,its ,,completeness ,,of ,,plan ,,and ,,illustration 444 ,,makes ,,it ,,invaluable 444 ,,cloth1 #db ,,full ,,page ,,illustrations1 #ge ,,cents ,a4 ,,flanagan ,,company1 ,publishers #bff ,wabash ,avenue1 ,,chicago ,illustration3 ,no4 #a ,,manual ,,training ,,bench ,length of ,top #ej inches ,width of ,top #ba inches ,height #cb inches ,these benches are made of selected hard maple throughout1 and are fitted with our ,no4 #fj rapid-acting vise4 ,they are shipped knocked down and any boy can set them up4 ,they are extremely strong and rigid1 and with our steel and iron vise make an outfit practically indestructible4 ,we make benches only fitted with our vises1 and can furnish any style desired1 either single or double4 ,cabinetmakers'1 carvers' or special designs made to order4 ,our prices are but little1 if any1 higher than asked for cheaply made benches with wooden vises or cheap cast-iron vises4 ,this is an excellent bench to have about the house1 and is suitable for boys from #f years old to men of #fj4 ,they are superior benches for manual training and have plenty of capacity for the work4 ,manufactured only by ,w4 ,g4 ,,toles ,,co4 ,irving ,park4444,chicago1 ,ill4 ,,send ,,for ,,catalogue4 ,manual ,training ,schools ,should have the very best ,hand ,saws that can be obtained4444 ,illustration ,we make a ,specialty of furnishing the ,right ,kind--with proper shaped handles for youths and children1 and made from our celebrated ,,trade ,,silver ,,steel ,,mark which is the finest steel ever used in saws4 ,atkins ,quality ,stands at the ,head ,,manufactured ,,only ,,by ,e4 ,c4 ,atkins ,co41 ,inc'p'd4 ,,factories ,indianapolis1 ,ind4 ,,branch ,,houses3 ,memphis1 ,tenn4 ,minneapolis1 ,minn4 ,atlanta1 ,ga4 ,portland1 ,or41 ,new ,york ,city4 ,,our ,,motto3 8,atkins ,always ,ahead0 ,,six6 ,,six6 ,,bright ,,new ,,books ,,in ,,the ,,misty ,,realm ,,of ,,fable ,by ,,emma ,,robinson ,,kleckner 8,the book contains all that is best in ,mythology1 and what it presents is made the most of in the way it is told40--,,wm4 ,,hawley ,,smith1 ,author and ,lecturer4 ,this book is admirably adapted as a ,supplementary ,header for fourth and fifth grades4 ,second ,edition4 ,cloth4 ,eight full page illustrations4 ,many smaller ones4 #afj pages1 handsome cover1 list #ej cents4 ,,turning ,,points ,,in ,,teaching ,by ,d4 ,c4 ,,murphy1 ,,ph4 ,d4 ,superintendent ,training ,department of ,slippery ,rock 7,pa47 ,state ,normal ,school4 ,dr4 ,murphy is a practical teacher2 he knows the needs of teachers and has given them a book full of ,new ,methods1 ,ideas1 ,anecdotes and ,helps4 ,some of the chapters are3 ,the ,first ,day of ,school2 ,critical ,moments in the ,school ,room2 ,managing the ,bad ,boy2 ,managing the ,bad ,girl2 ,blue ,monday4 ,cloth1 #add pages1 #ej cents2 paper1 #be cents4 ,,the ,,student',s ,,guide ,,to ,,music ,by ,j4 ,n4 ,,whybark ,in the ,student's ,guide to ,music we find just what its name indicates2 all the necessary rudiments of music2 talks on ,voice ,culture1 ,breathing and ,theory2 nearly #ajj ,exercises in ,sight ,singing for classes in unison2 a ,complete ,dictionary of musical terms4 ,manila binding1 #fj pages1 #be cents4 ,,norton',s ,,practical ,,studies ,,in ,,grammar ,theory and ,practice are combined2 principles and definitions given from the outset1 but with little formality2 abundance of easy examples for illustrations2 varied selections from standard literature for grammatical and literary study4 ,large type2 several full page and half page illustrations4 ,cloth1 #bae pages1 price #dj cents4 ,if the book is adopted the amount paid for the first copy will be refunded4 ,,miss ,,hauck',s ,,new ,,reproduction ,,stories ,,for ,,primary ,,grades #aej original and rewritten stories4 ,they embrace all subjects1 as ,little ,stories about ,nature1 ,stories about ,animals1 ,children1 ,flowers1 ,trees1 ,birds1 ,leaves1 etc4 ,price #ae4 ,a ,,new ,,help ,,in ,,united ,,states ,,history ,by ,o4 ,h ,,marsh1 ,county ,supt41 ,mills ,county1 ,ia4 ,this is not purposed as a patent method for teaching history1 but is the result of long experience in the school room and in normal institutes4 ,the ,outlines are full1 the ,notes interesting1 the ,questions suggestive4 ,send #be cents for a copy and if not fully up to expectations1 return same4 ,are ,you in the ,dark as to where certain articles in your work may be found8 ,write us for ,helps in ,school ,entertainments1 ,general ,work1 ,school ,blanks1 ,text ,books1 ,school ,supplies1 ,pictures1 ,supplementary ,reading1 ,etc4 ,a4 ,,flanagan ,,co4 ,,chicago ,,the ,,new ,,arithmetics ,,the ,,new ,,practical ,,arithmetic ,by ,a4 ,w4 ,,rich1 ,professor of ,mathematics in the ,iowa ,state ,normal ,school4 ,this book is the result of practical work in the class room1 and furnishes a complete course for all ordinary purposes4 ,among the ,features of ,special ,note are3 #a4 ,a set of tables and drills for mental work4 ,these cover the essential operations of arithmetic and are designed to make the pupil proficient in the shortest time possible4 #b4 ,a presentation of the necessary definitions1 principles1 and rules in compact form so as to indicate clearly the arithmetical elements and relations4 #c4 ,a great number of model problem solutions4 ,the scope1 the varied character1 and the helpfulness of these emphasize the thought side1 and are of the highest value in developing the reasoning powers4 #d4 ,a large variety of ,drill ,tables1 ,test ,problems1 and other means of testing the pupil's power as well as giving him mastery over the subject4 ,cloth1 #e #g inches4 #bbb pages4 ,price1 #ej cents4 ,,the ,,new ,,higher ,,arithmetic ,the need of a good1 practical1 and suggestive higher text in arithmetic has long been felt4 ,not a book of catch problems1 or a book filled with curious or obsolete matter is here presented2 but a helpful1 inspiring1 useful text-book4 ,a ,special ,feature ,may be ,mentioned3 ,the ,model ,solution found so valuable in the ,new ,practical ,arithmetic1 has been carried forward in this work4 ,to this has been added a feature known as 8indicated work10 inventional in its nature1 by which the pupil is taught to formulate his problems and to express them in clear and definite language4 ,this work is regarded as of high value in enabling a pupil to determine promptly the conditions of a problem1 and to see the end from the beginning and then proceed by logical steps from the beginning to the end4 ,cloth1 #e #g inches4 #cbj pages4 ,price1 #ge cents4 ,a copy of both books for #a4jj4 ,if adopted or returned money will be refunded4 ,liberal ,terms for ,introduction and ,exchange4 ,a4 ,,flanagan ,,co4 ,,chicago4