,,practical ,,stair ,,building ,,and ,,handrailing ,,practical ,,stair ,,building ,,and ,,handrailing ,,by ,,the ,,square ,,section ,,and ,,falling ,,line ,,system ,,by ,w4 ,h4 ,,wood ,illustration ,london3 ,e4 ,f4 ,n4 ,,spon1 #abe ,,strand ,new ,york3 ,,spon ,,chamberlain1 #ab ,,cortlandt ,,street #ahid ,,preface4 ,the following book has been written to assist those who wish to acquire a knowledge of the most practical and systematic methods adopted in the execution of stair building and handrailing4 ,in compiling this work the author has kept steadily in view the absolute necessity of treating most fully the elementary parts4 ,therefore1 if to some the details should appear tedious1 he begs to say they have been written to assist those who1 being unable to obtain a correct knowledge of the methods adopted1 seldom advance beyond a certain and very unsatisfactory stage4 ,the plates on stairs will be found to contain much useful and valuable information1 all of which the author has practically tested1 some of them many times over1 and can therefore vouch for the accuracy of the various methods shown4 ,the ,plates #ab and #ac should be thoroughly understood before proceeding with the handrailing1 as the diagrams showing problems in solid geometry have been carefully selected1 bearing directly on the subject1 and it should not be left until the 8why0 and 8wherefore0 has been reasoned out4 ,the system of handrailing is somewhat new1 but the author has continually put it to practical test for the last five years1 and he is convinced that it is only required to be known to be appreciated4 ,w4 ,h4 ,,wood4 ,,contents4 ,,stair ,,building4 ,,plate ,,page #a ,,elementary ,,problems #c #b ,,close ,,newelled ,,or ,,dog-,,legged ,,stairs1 ,,the ,,setting ,,out ,,of ,,rods1 ,c4 #e #c ,,the ,,construction ,,of ,,various ,,parts ,,of ,,stairs1 ,,showing ,,the ,,application ,,of ,,the ,,steel ,,square ,,for ,,setting ,,out ,,strings1 ,c4 #g #d ,,plan ,,and ,,elevation ,,of ,,open ,,newel ,,staircase1 ,,with ,,spandril ,,under ,,bottom ,,flight #aa #e ,,details ,,of ,,construction #ac #f ,,details ,,of ,a ,,newel ,,stairs1 ,,starting ,,and ,,landing ,,with ,,winders #ae #g ,,half-,,space ,,landing1 ,,with ,a ,,straight ,,flight ,,above ,,and ,,below1 ,,and ,a ,,continued ,,rail1 ,,starting ,,with ,a ,,side ,,wreath ,,from ,a ,,newel #ag #h ,,details ,,of ,,construction #ai #i ,,details ,,of ,,construction #bc #aj ,,details ,,of ,,construction ,,showing ,,an ,,apparatus ,,for ,,marking ,,the ,,length ,,and ,,cuts ,,of ,,balusters ,,around ,,the ,,circular ,,parts #be #aa ,,details ,,of ,,construction #bi ,,handrailing4 #ab ,,on ,,oblique ,,planes ,,and ,,their ,,traces #cg #ac ,,on ,,projection ,,of ,,oblique ,,planes1 ,c4 #da #ad ,,level ,,landing ,,wreath1 ,,or ,,half ,,twist #dc #ae ,,level ,,landing ,,wreath1 ,,or ,,half ,,twist #de #af ,,level ,,landing ,,wreath1 ,,or ,,half ,,twist #dg #ag ,,half-,,space ,,landing1 ,,with ,,straight ,,flight ,,above ,,and ,,below #di #ah ,,from ,,the ,,level ,,to ,,the ,,rake #ec #ai ,,from ,,the ,,level ,,to ,,the ,,rake #ee #bj ,,half-,,space ,,landing ,,with ,,the ,,risers ,,in ,,the ,,springing #eg #ba ,,winders ,,in ,,the ,,half-,,space ,,and ,,level ,,landing ,,at ,,top #ei #bb ,,winders ,,in ,,the ,,half-,,space1 ,,with ,a ,,straight ,,flight ,,above ,,and ,,below1 ,,wreath ,,to ,,form ,,its ,,own ,,easing #fa #bc ,,quarter-,,space ,,landing1 ,,wreath ,,in ,,one ,,piece #fe #bd ,,quarter-,,space ,,landing1 ,,wreath ,,in ,,two ,,pieces #fg #be ,,quarter-,,space ,,landing1 ,,wreath ,,in ,,one ,,piece1 ,,to ,,form ,,its ,,own ,,easing ,,into ,,the ,,straight ,,rail #fi #bf ,,winders ,,in ,,the ,,quarter-,,space1 ,,wreath ,,in ,,one ,,piece1 ,,to ,,form ,,its ,,own ,,easing ,,into ,,straight ,,rail #ga #bg ,,landing ,,in ,,an ,,obtuse ,,angle1 ,,the ,,wreath ,,to ,,form ,,its ,,own ,,easing ,,into ,,the ,,straight ,,rail #gc #bh ,,half ,,twist ,,starting ,,from ,a ,,scroll1 ,,and ,a ,,side ,,wreath ,,starting ,,from ,a ,,newel #ge #bi ,,winders ,,starting ,,from ,a ,,curtail ,,step #gg #cj ,,winders ,,in ,,the ,,quarter-,,space1 ,,starting ,,from ,a ,,newel #gi #ca ,,the ,,plan ,,of ,,rail ,,forming ,,part ,,of ,,an ,,ellipse1 ,,starting ,,from ,a ,,newel ,,over ,,winders #ha #cb ,,showing ,,the ,,moulding ,,of ,,rails1 ,,and ,a ,,method ,,of ,,proportionately ,,increasing ,,or ,,decreasing ,,the ,,size ,,of ,,them #hc ,,practical ,,stair ,,building ,,and ,,handrailing4 ,,stair ,,building4 ,stairs are a succession of steps leading from one landing to another in a building4 ,each step comprises tread and riser1 the tread being horizontal and the riser vertical4 ,the side pieces supporting the ends of steps are called strings3 that next to the wall1 the wall string2 the other1 the front1 outside1 well1 cut1 open1 or close string4 ,when the steps are narrower one end than the other they are called winders4 ,the landing is a platform between the floors1 and it is sometimes arranged to give access to a door4 ,a succession of steps between each landing is called a flight4 ,it is not often that the stair builder is called upon to say how and where the stairs are to go1 that being the work of the architect2 but the former must do his best to carry out the wishes of the latter1 who will leave to him the placing of risers1 and all details necessarily belonging to the stair builder1 who will make the best possible job1 having all easings and falling lines as graceful as it is possible to make them4 ,an easing that is too long is almost as objectionable as one that is too short4 ,he will take the dimensions off on to his rods1 and from them set out the whole stairs1 showing all doorways1 landings1 headroom1 c41 to #a inch scale if possible4 ,all winders must be set out full size4 ,illustration3 ,,plate #a4 ,,plate ,i4 ,,elementary ,,problems4 ,fig4 #a4 ,draw a straight line1 equal in length to the semicircle ,a ,b ,c4 ,with ,a and ,c as centres1 and for radius ,a ,c1 strike the two arcs to intersect each other in ,s4 ,join ,s ,a and ,s ,c extended1 to cut the line through ,b in ,d and ,e4 ,then1 ,d ,e is the length of the required line1 and if this was bent around the semicircle it would reach from ,a to ,c4 ,this line throughout this work is termed the stretch-out of the semicircle4 ,fig4 #b4 ,given the length ,d ,e1 find the radius to strike a semi-99circle equal in length to it4 ,draw a line from ,e at #fj1 and from ,b at #de to ,d ,e1 to cross each other at ,c4 ,draw from ,b square to ,d ,e1 and from ,c parallel to ,d ,e to meet in ,o2 then ,o ,b will be the required radius4 ,figs4 #c1 #d and #e show how to bisect any given angle4 ,let ,a ,b ,c be the given angle4 ,with ,b as centre1 strike the arc ,d ,d to any radius4 ,with ,d ,d as centres1 and for radius more than half the distance ,d ,d1 describe arcs intersecting in ,e4 ,then1 a line from ,b to ,e will bisect the angle4 ,figs4 #f1 #g and #h show how to ease any given angle1 that is to form a curve that will connect the two straight lines1 from any two given points1 on those lines4 ,let ,a ,b and ,b ,c be the two lines forming the given angle1 and it is required to connect those lines from ,a to ,c4 ,divide ,a ,b and ,b ,c into any number of equal parts1 connect those parts1 and the curve will be formed if ,a ,b and ,b ,c has been divided into a sufficient number of parts4 ,fig4 #i shows a semi-ellipse1 ,a ,b being the semi-major axis1 and ,b ,d the semi-minor axis4 ,let ,a ,b and ,d ,b1 ,fig4 #aj1 equal ,a ,b and ,d ,b1 ,fig4 #i4 ,to strike the curve1 move this rod around1 keeping ,d on the major axis1 and ,a on the minor axis1 and mark off points at the end of the rod all round4 ,fig4 #aa4 ,given a semi-ellipse1 draw a normal tangent4 ,determine the foci of the ellipse ,f ,f4 ,with ,d as centre1 and for radius ,a ,b strike arcs of circles at ,f ,f4 ,at any point on the curve1 say at ,s1 draw lines to ,f ,f and bisect the angle4 ,now draw through ,s1 square to this line that bisects the angle for the required normal tangent4 ,illustration3 ,,plate #b4 ,,plate ,,ii4 ,,close ,,newelled ,,or ,,dog-,,legged ,,stairs1 ,,the ,,setting ,,out ,,of ,,rods1 ,,etc4 ,fig4 #a shows the plan of a dog-legged stair4 ,the first thing to be done is to take off the sizes on a rod4 ,first take the rod1 marked ,fig4 #c4 ,cut this rod in between the brick walls1 taking care to try it between the walls where the two flights come together at risers #ab and #ac4 ,set off on each end of this rod the thickness of plaster2 now set off the face of wall strings so that they will be flush with the face of the skirting4 ,then set back from face of the string half an inch1 the depth of the housing1 this will be the end of the treads and risers4 ,next set off the centre of the rod1 draw the newel and string on the rod1 half their thicknesses on each side of the centre line4 ,then set back towards the centre from each face of the centre string1 half an inch1 the depth of the housing4 ,this gives the length of the treads and risers2 and if ordinary care is taken in setting out this rod1 and working to it1 no mistake can be made4 ,the height rod is seen at ,fig4 #d4 ,set off on this rod the height from the top of the bottom floor to the top of the top floor4 ,now divide this height into as many parts as there are to be risers1 and the distance from one division to another represents the height from the top of one tread to the top of the next4 ,the number of risers and the height of them must be regulated by circumstances4 ,a few hints only can be thrown out here4 ,the rise should not be less than #f inches or more than #g inches1 while the going and the rise added together should not be less than #af inches or more than #ah inches4 ,thus1 it will be seen1 the going should be regulated by the rise4 ,for instance1 say the rise is #g inches1 then the going should not exceed #aj inches2 this would make the going and rise added together #ah inches4 ,now1 the stairs would be easier if the going was only #i1 as this would make the two #ag inches1 which is a better average than #ah inches4 ,these remarks are not laid down as a fixed and unaltered rule1 but are intended as a guide in the setting out of stairs of any description4 ,mark off on the height rod the floors1 joist and ceiling of both landings1 as shown at ,fig4 #d4 ,in putting in the landing1 use the height rod to get the height of the joist1 but care must be taken to take the height from the proper floor level1 in case the floor is not down4 ,fig4 #e shows the going rod4 ,put one end of this rod against the back wall1 and mark on to it all doorways1 trimmer joists1 c4 ,the width of landing and the going must be regulated by circumstances1 but the risers1 newels and all joists must be marked on to the rod as shown4 ,in putting in these trimmers it is always as well to square them1 that is1 put them in square to the side walls1 then should the back wall be out of square the difference will be in the landing4 ,fig4 #f shows the pitch board4 ,these are best made of zinc4 ,make the rise equal the height of one rise on the height rod1 and the going equal the going of one step on the going rod4 ,fig4 #g shows the construction of one step4 ,a plan and elevation of the stairs should always be made to a scale of1 say1 of an inch to the foot1 or1 if possible1 to #a inch to the foot1 and all openings1 headroom1 c41 should be shown4 ,the line ,h ,h1 ,fig4 #b1 is drawn parallel to the line of nosings on the bottom flight1 and at a height above them of #g feet4 ,then the bottom edge of the top landing must be kept above this line to give sufficient headroom4 ,the setting out of the strings and glueing up of the steps1 c41 will be seen on ,plate ,,iii4 ,illustration3 ,,plate #c4 ,,plate ,,iii4 ,,the ,,construction ,,of ,,various ,,parts ,,of ,,stairs1 ,,showing ,,the ,,application ,,of ,,the ,,steel ,,square ,,for ,,setting ,,out ,,strings1 ,,etc4 ,fig4 #a shows a cradle for glueing up the steps4 ,let ,a be a piece of wood about #ah inches long by #f inches wide by #b inches thick1 and ,b should be a piece about #b feet #f inches long by #c inches wide by #b inches thick4 ,put a -inch mortise through ,b and tenon ,a into it4 ,well glue and wedge1 and pin as shown4 ,two of these should be made4 ,it will be noticed that ,e is cut out for the projection of the front edge of the tread past ,d1 which is the face of the riser1 and the mortise in ,b is kept back to ,e4 ,f is cut out to fit over the scotia4 ,the holes in the edges ,c and ,d are for pins to go in1 to wedge against when glueing up the steps4 ,the process of glueing up the steps is as follows3 first cut off treads1 risers1 and scotia about #a inch or #a inch longer than their proper length4 ,now plane up the treads1 and shoot the front edges straight and square2 then plough the under side for the scotia to go in about inch deep2 then plane up the scotia and gauge them to a width and thickness so as to fit tight into the groove4 ,these scotias should next be glued into the grooves and allowed to dry while the risers are being planed up4 ,plane up the face of the risers1 and shoot the edge to go against the tread straight and square4 ,now fix the two cradles on the bench1 by screwing them through ,b into the top of the bench4 ,in fixing these1 try them with one of the treads so as to get them square2 keep them about #f inches from each end4 ,fig4 #b shows one of these cradles with a part of a step glued up4 ,lay the step on the cradle and stick a pin in one of the holes in ,b1 and put in a wedge between the pin and the back edge of the step to keep the step in its place4 ,now glue the tread for the edge of the riser1 also the back of the scotia2 well rub the riser to get the glue rubbed out1 and put in the wedge to keep the riser down1 as shown4 ,then put in two screws and three blocks as shown at ,fig4 #g1 ,plate ,,ii4 ,in putting on the blocks take care to well rub the glue out4 ,fig4 #c shows a part of the outer string housed out for the treads and risers4 ,the steel square is used to get the lines on the strings for the treads and risers1 as shown4 ,get a piece of stuff long enough1 marked ,f1 and let it be about #b inches square2 put a good thick saw cut in each end and slip the square in the cuts as shown4 ,hold the hypothenuse of the pitch board against the fence ,f and set the blade to the going1 and the tongue of the square to the rise of the pitch board4 ,now to mark the string4 ,gauge the hypothenuse line about #b inches from the top edge of string1 and make the distance between ,a ,a on this line equal the hypothenuse of the pitch board4 ,slide the square along from ,a to ,a and mark both treads and risers4 ,to mark the housing on the back side of the treads and risers1 get two pieces of thin stuff and cut wedge-shaped1 allowing them the wedge wider than the thickness of treads to mark the housing for the treads1 and the wedge wider than the thickness of the risers for the housing for the risers4 ,fig4 #d shows a section of the steps with bracketed carriages showing4 ,these carriages are only used in this description of stairs2 they average from #b inches to #c inches thick2 they are put on with the grain running in the same direction as the strings1 they are screwed to the under side of the steps and to each other1 as shown1 and well blocked to treads and risers4 ,they are placed according to the width of the stairs1 three under each flight4 ,fig4 #e shows a part of the wall string1 moulded to match the skirting1 and housed out for treads and risers4 ,in putting stairs of this sort together1 lay the wall string on the ground1 as shown1 taking care to get it straight and solid4 ,then place one end of the steps in the grooves of the wall string1 after all the steps have been placed in position1 then lay the outer string on the ends of steps1 and after the steps have been got into the grooves4 ,well strut from the ceiling or any convenient place on to the outer string1 forcing the steps into all the grooves4 ,then put in the wedges1 glueing them before they are driven in4 ,after they have been screwed up and blocked the struts can be removed4 ,the nosing and scotia are worked after the steps have been glued up2 this is the best method of working in either a machine or a hand shop4 ,fit the nosing and scotia into the strings on the bench before putting together1 also get the rises to a width and number each step where it is to go4 ,fig4 #f shows how the strings are tenoned into the newel2 the dotted lines show the tenons and the haunching1 the tenon being #c inches deep and the haunching inch deep2 this is shown at ,fig4 #g4 ,the housing out of the newels is described later on where there are winders4 ,the thickness of treads1 c41 varies according to the class of work1 but the following may be taken as a good example4 ,treads1 #a inch thick4 ,project over risers1 #a inch4 ,risers1 #a inch thick4 ,scotia1 #a inch by inch4 ,strings1 #a inch4 ,illustration3 ,,plate #d4 ,,plate ,,iv4 ,,plan ,,and ,,elevation ,,of ,,open ,,newel ,,staircase1 ,,with ,,spandril ,,under ,,bottom ,,flight4 ,fig4 #a shows the plan of an open newelled stairs1 starting from a bull-nose step at bottom1 and having a short piece of rail along the top to give sufficient headroom4 ,the dotted lines show the joist4 ,fig4 #b shows the elevation1 with spandril and newels4 ,after having taken the width1 height and going or run on to the rods1 set up an elevation to #a scale1 when the size of strings can be taken off2 newels1 length of rails and spandril can all be set out4 ,draw the line ,h ,h parallel to the line of nosing and #g feet above4 ,keep the bottom of facia crossing over the bottom flight above this line4 ,after having set out the stairs to this scale mark off the rods full size4 ,fig4 #c shows the width rod1 with the two newels marked on it4 ,fig4 #d is the going rod1 with newels1 face of risers1 joist1 c41 all marked on it4 ,fig4 #e shows the height rod4 ,mark on to this rod the two landings4 ,fig4 #f shows the newels on the half-space landing4 ,the newel ,a being the bottom one1 runs right down to the floor1 the bottom square on it being to receive the bottom handrail1 while the short level rail is above this4 ,the newel ,b1 the top square1 is to receive the top handrail1 and the short rail is below it4 ,thus it will be seen the twining on the top newel is shorter than on the bottom one marked ,a4 ,the details will be found on the following plate4 ,illustration3 ,,plate4 #e4 ,,plate ,v4 ,,details ,,of ,,construction4 ,fig4 #a shows the top rail of spandril1 with the tenon cut ready to go together4 ,fig4 #b is the middle rail tenoned and haunched ready to go together to fit into the stile4 ,fig4 #c shows the other end of the same rail ready to go into the top rail4 ,fig4 #d shows the bottom rail tenoned ready to go into the stile against the newel4 ,fig4 #e is the same rail tenoned ready to go into the top rail under the string4 ,fig4 #f shows a part of one panel with the moulding4 ,to cut the moulding in1 bisect the two angles as ,a ,b and ,c ,d2 this was shown on ,plate ,i4 ,make cuts in the mitre1 cut to ,a ,b and ,c ,d1 and cut the mitres to it4 ,in putting the spandril together1 put all muntings1 rails1 panels1 top rail1 bottom and middle rails first1 and the stile against the newel last4 ,fig4 #g shows a part section enlarged of the top rail of spandril1 string of stairs and capping4 ,fig4 #h shows a round-ended step4 ,this is got out in three thicknesses1 as shown at ,fig4 #i4 ,this block is prepared as shown2 the riser is cut to the thickness of a veneer1 it is glued and screwed at the back1 is well glued1 brought around and well wedged and screwed as shown2 the scotia is glued and screwed to the block1 and the tread is well glued and screwed from the bottom4 ,the newel is mortised into the step diagonally1 as shown4 ,fig4 #aj shows the elevation of the trimmer at the top4 ,fig4 #aa shows the plans of the trimmer1 with wedge and method of jointing4 ,fig4 #ab shows the section of newel and a part of door1 frame and spandril4 ,illustration3 ,,plate #f4 ,,plate ,,vi4 ,,details ,,of ,a ,,newel ,,stairs1 ,,starting ,,and ,,landing ,,with ,,winders4 ,in planning stairs of this description several things have to be considered4 ,first take off the height and going on a rod4 ,then decide how many steps there are to be4 ,draw a plan and elevation1 as shown at ,figs4 #a and #b4 ,set off the width of the stairs and draw the two newels4 ,now draw the line of travel #ae inches from the centre of rail4 ,take the centre of newels for centre1 and strike the quarter of circle top and bottom in continuation of this line1 which divide into as many divisions as there are to be steps4 ,in drawing the winders keep the narrow ends as wide as possible1 and for this purpose they can be brought past the newels into the strings2 as we can have no sympathy with the system that crowds all the narrow ends of winders into the newels1 by that means making the stairs unnecessarily dangerous4 ,the dotted lines show the trimmers and joist2 care must be taken to have sufficient headroom4 ,it will be noticed that the wall string is jointed at both ends1 so as to get sufficient width4 ,when these strings are set out like this to a scale1 it is seen at once what there is to joint on4 ,fig4 #c shows the short string at the bottom1 and ,fig4 #d that at the top4 ,these short strings must be made to ease into the long wall string at the same height1 also to ease into the skirting4 ,to fix these stairs proceed as follows3 set the steps #a1 #b and #c at the bottom1 and #ab1 #ac and #ad at the top1 out full size on a board1 with the wall strings and newels4 ,tongue and groove the strings together in the corners1 having the tongue on the long string at the bottom4 ,mark the treads off the board to cut and not try to fit on the job4 ,if the rods have been set out correct in the first place1 and as correct can be worked to1 they can be cut in the shop for the bottom winders1 but for the top ones the lines should be taken off the board out to them1 and cut when fixed4 ,put the flight together1 including step ,no4 #ab at the top and #c at the bottom1 then fix on the bottom newel1 after which step ,no4 #b can be fixed in position4 ,then put the short string in its place1 also step ,no4 #a4 ,now let the stairs go down into their place and do all necessary blocking and screwing4 ,it will be understood that everything has been fitted before this1 also that these bottom winders are glued up4 ,next put on the long newel and glue and pin it2 slip the short string at top into its place1 then fix in the risers #ac1 #ad and #ae1 and treads #ac and #ad and the nosing at top4 ,glue1 screw and block these after they are in4 ,before cutting the treads and risers at the top1 try with a rod to see if the lines on them taken off the board are correct1 and if there is any difference allow for it when cutting them in4 ,fig4 #e shows the plan and ,fig4 #g the elevation of the newel for the bottom1 with part of winders to #a inch scale4 ,in setting out the newels mark the position of risers on to them1 thus1 make #a1 #b1 ,fig4 #g1 equal to #a1 #b1 ,fig4 #e1 and set up the height of a rise1 and square out a line and make #b1 #c equal #b1 #c1 ,fig4 #e2 this riser1 it will be seen1 comes on the edge2 again set up a rise1 as shown by #c1 #c4 ,from #c square out a line and make #c1 #d equal #c1 #d1 ,fig4 #e1 and set up the height of a rise4 ,the same process would be repeated as long as there were any risers striking the newel on plan4 ,of course the newel would be set out full size on the board that the winders were set out on4 ,fig4 #f shows the plan of newel1 and ,fig4 #h the elevation of a part of it4 ,repeat the process described at ,figs4 #e and #g4 ,illustration3 ,,plate #g4 ,,plate ,,vii4 ,,half-,,space ,,landing1 ,,with ,a ,,straight ,,flight ,,above ,,and ,,below1 ,,and ,a ,,continued ,,rail1 ,,starting ,,with ,a ,,side ,,wreath ,,from ,a ,,newel4 ,fig4 #a shows the plan1 and ,fig4 #b the sectional elevation4 ,the previous plates have shown stairs with close strings--that is1 the outside strings are housed out for the treads and risers1 in the same way as the wall string1 and the top of the string is kept above the nosings1 and a capping is fixed on the top of it1 and the balusters are cut on1 or let into this capping1 according to the class of work4 ,but in this case is shown a cut or open string4 ,the treads and risers are housed into the wall string as before1 but the outside strings are cut so as to allow the treads and risers to pass right through1 and the balusters are dovetailed into the ends of treads1 details of which are shown on ,plate ,,viii4 ,the carriages and the landing joist are shown by dotted lines on plan4 ,the carriages fit close up under the bottom edge of treads1 and rough brackets are nailed to the side of them1 and fit close up to the under side of treads1 and glued and blocked4 ,in this description of stairs it is usual to have four iron balusters1 placed as follows1 one each on steps #g1 #ac1 #ah and #bd4 ,there should be a joist1 or good solid block let into them1 immediately under the newel1 so that a bolt can be let up into the centre of newel1 and through this block1 or joist1 and screwed tight from the bottom4 ,the wall string should be well plugged and nailed to the wall4 ,if there is no spandril under the bottom flight1 the carriages should be stiffened by cutting pieces of the same stuff in between each carriage and let into the wall4 ,get a long bolt made to go through all the carriages1 and the pieces between them and into the wall1 with a screw on the outside end to screw them all up tight together4 ,to bore them for the bolts3 ,after the carriages have been fitted in their place1 before they are fixed1 lay them together and bore them2 then bore the short pieces before putting them into their place4 ,fig4 #c shows the width rod4 ,care should always be taken to try this rod at the landing1 where the two flights are connected1 and allow for the stairs to fit in between the walls1 just slack enough to go in their place without any trouble4 ,they want1 in fact1 to drop into their place4 ,mark on each end of the rod the face of the skirting on the landings1 and let this be the face of the wall string4 ,mark the centre1 and set off on each side the centre line of rail1 also the string and brackets4 ,the face brackets will be the outside face of balusters4 ,fig4 #d is the going rod4 ,of course1 the going must be regulated by circumstances1 but this rod must have the face of all the risers marked on it1 also each springing1 as shown by ,s ,s ,s1 and the landings1 doorways1 c4 ,fig4 #e is the height rod1 which must have landings1 c41 marked on it as shown4 ,these rods should be used to put in the landing by4 ,the pitch board will be taken off the rods1 as was before explained4 ,remember1 a little care in setting out and working to these rods is true economy4 ,fig4 #f shows how the carriages may be fastened to the floor4 ,let ,a be a fillet nailed well through the floor into the joist4 ,fig4 #g shows the top and bottom carriages bolted to the trimmers at the landing4 ,the short trimmer is sufficiently long to take the top carriages4 ,the dotted lines show how the bottom end of the top carriages is let into the short trimmer1 and bolted through4 ,the bottom carriages cut against the long trimmer1 and bolted through1 as shown4 ,it sometimes happens the short trimmer has to be blocked out from the long one1 so as to receive the top carriages4 ,in that case it is packed out sufficiently and bolted together4 ,fig4 #h shows the carriages bolted to the trimmer on the top landing4 ,illustration3 ,,plate #h4 ,,plate ,,viii4 ,,details ,,of ,,construction4 ,fig4 #a shows the plan1 and ,fig4 #b the elevation of a part of an open or cut string4 ,it will be seen the risers are cut like a bare face tenon #e_/af inch thick1 the same thickness as the ornamental brackets1 and shouldered to fit against the inside of the string4 ,these brackets are glued and bradded to the outside face of the string1 and mitred to the ends of the risers4 ,that part of the string where the shoulder of the risers fits against1 should be gauged to an exact thickness4 ,the brackets fit close up under the ends of the treads1 which project the thickness of the brackets past the strings1 and mitred on the front edge to receive the return nosing and scotia1 which is mitred and returned into the string1 as shown at ,e1 ,fig4 #a4 ,the best method to adopt is as follows3--,get the risers shouldered and mitred1 then plough the treads for the scotia2 now cut off the ends of the treads as far as the mitre1 which mark and cut in a little way1 finishing the cut after the nosing has been worked and the stairs are together4 ,cut in the dovetails for the balusters1 but not chop them out before the stairs are fixed4 ,now glue in the scotia1 and1 when dry1 put the steps together1 the same as was explained in ,plate ,,iii4 ,then get the length of steps from the width rod1 and cut them off4 ,gauge the risers to a width with a gauge as seen at ,fig4 #d4 ,fit the steps in the wall string1 and cut out for nosing and scotia4 ,to put them together1 lay the wall string on the floor1 having it straight and solid2 put the steps into it1 and lay the outer string on1 and1 with struts from the ceiling or any convenient place1 force the cut string on to the shoulders of the risers1 and the steps into the housing of the wall string4 ,see that the stairs are square before doing all necessary wedging1 blocking1 screwing1 c4 ,then remove the struts and put on the brackets and return nosing1 glueing and bradding the former1 while the latter should only have two brads into the steps1 so that they can be easily removed to fix the balusters when the handrail is fixed1 after which they can be permanently nailed4 ,the iron balusters are screwed to a block fixed for the purpose4 ,this block is marked ,a1 ,figs4 #a and #c4 ,the riser is reduced to allow the block to come forward1 so as to get the screws well into it2 it is stub-tenoned into the under side of the tread1 as shown by the dotted lines1 ,fig4 #c2 it is also screwed into the back of the next tread below1 and well glued and blocked4 ,there will have to be a special baluster turned1 out of pine1 for a pattern1 and turned a little longer to allow for shrinkage in the casting1 which is about inch to each foot4 ,the square parts must be made to draw out of the sand when cast--that is1 they must be a trifle thicker in the middle on the sides shown at ,fig4 #c than they are at the edges1 as they are cast in two halves4 ,they will be drilled and countersunk for the screws after they are cast4 ,fig4 #e shows the side and ,fig4 #f the front elevation of a mitre shoot for shooting the mitres of the ends of risers4 ,the sides are two #i-;inch boards1 set up at #de1 and screwed to the bottom1 marked ,d1 and to the back1 marked ,h4 ,two ledges are screwed on the bottom1 marked ,n4 ,also a longer piece on the top1 in front1 marked ,c1 for the trying plane to slide on when shooting the mitres4 ,a false bottom is put in1 and set up at #de1 marked ,b1 this is screwed or nailed through the sides1 and kept inch above ,c1 as shown4 ,the triangular piece is put in1 and the bottom side ,s ,p is kept the thickness of a bracket above ,b1 and ,s ,p must be the exact size of the thickness of the string where the risers fit against it4 ,the risers are put in with the shoulders against ,s ,r and shot off4 ,the brackets can be mitred in the same way4 ,this box will do for any job by having different triangular pieces4 ,fig4 #g shows how to get out the continuation of the brackets along the top landing1 and finish against the wall4 ,it often happens that the brackets require to be reduced in length for unders or diminished flyers1 or increased for a large well1 or where the risers are farther apart than on the straight flights4 ,figs4 #h and #i show methods of reducing or increasing the length of the brackets1 and each member proportionately4 ,it is only necessary to describe one1 as the method for both is the same4 ,let ,a be the given1 and ,b the required bracket4 ,having drawn the bracket ,a1 set off ,c ,e at any angle1 the required length4 ,join ,d ,e1 draw any number of lines on the bracket ,a1 square to ,c ,d1 draw these lines parallel to ,d ,e1 and from where they cut ,c ,e square outline1 and make them equal corresponding lines on the bracket ,a1 as #c1 #d and #e on ,b will equal #c1 #d and #e on ,a4 ,these brackets for the circular parts may be got out of wood2 in that case the grain should be vertical1 as the brackets are fixed4 ,but for painted work the best are two pieces of linoleum glued together4 ,fig4 #aj shows how the cut string1 which is #ab inches wide1 may be got out of a #i-;inch board4 ,shoot the bottom edge1 then gauge a line on its face to equal ,s ,s1 ,fig4 #b4 ,then with the compasses set off on this line1 the hypothenuse of the pitch board as many times as is required1 as shown by ,n ,r ,s ,h4 ,then with the steel square mark each going and rise1 which cut1 it will be found the board is not wide enough1 but the pieces cut out of the corners can be glued on to make it out as shown by ,a and ,b4 ,in some cases1 where there are no ornamental brackets1 the ends of treads are cut off flush with the outside face of string1 except the mitre for the return nosing1 and the risers are mitred to the string4 ,illustration3 ,,plate #i4 ,,plate ,,ix4 ,,details ,,of ,,construction4 ,fig4 #a is the plan of the well and the steps1 landing and starting1 at the half-space landing4 ,the lines marked ,c ,s are the direction of the cuts to be made through the circular or well string for the risers to mitre to4 ,fig4 #b shows a piece of thin stuff cut to a semicircle to fit the inside of the string4 ,this piece is laid on the plan1 and the position and direction of the cuts for risers is marked on it as seen by ,c ,c4 ,fig4 #c shows a section of a staved well1 the joints being ploughed out and cross tongues put in as shown4 ,each joint must be well glued and rubbed and screwed through the back4 ,it will be noticed it is carried past the springing into the straight on both sides2 this makes a better job1 as a joint made in the springing always has a crippled appearance1 no matter how well the job may be done4 ,fig4 #d shows a falling mould for marking the treads and risers1 also the bottom edge of the well in a continuous line with the bottom edge of the two straight strings4 ,take a thin lath and bend it around ,fig4 #b1 and mark on it the springing and risers1 as shown by ,s ,s and ,r ,r4 ,lay this lath on the piece of stuff the falling mould is to be cut out of1 in a horizontal position1 as shown1 and mark the risers and springing4 ,set up a step above and below the springings1 and set off ,s ,s to equal ,s ,s1 ,fig4 #b1 ,plate ,,viii4 ,then draw the under side of straight strings and continue it across the well1 taking care to have the best possible falling line4 ,h ,h shows the length the pieces forming the well will require to be4 ,this falling mould may be made out of good stiff brown paper1 or any other suitable stuff4 ,now bend it around on the inside of the well1 and mark the treads and risers and the bottom edge4 ,keep the springing lines on the mould to the springing marked on the well4 ,to mark the springing on the well take ,fig4 #b and hold in the well1 and mark the springing top and bottom and finish it with a straight edge4 ,also mark the direction of the cuts as shown by the lines marked ,c4 ,fig4 #e shows how the well is fixed to the straight strings4 ,this must be all fitted in the shop ready to slide up in its place when the stairs are fixed1 when it should be well glued1 wedged and screwed4 ,the circular string for the starting and top landing of ,fig4 #a1 ,plate ,,vii41 may be got out and fixed in the same way4 ,these kind of wells answer the purpose for which they are used1 but they are not so strong as a veneered well1 which is shown on ,plate ,,xi4 ,fig4 #f shows the step starting from the half-space landing4 ,this step is slightly curved at the end to make it the same width on the end as the rest4 ,the risers1 starting and landing are laid down to suit the rail1 as shown in ,plate ,,xvii4 ,fig4 #g shows the return nosing for this step4 ,fig4 #h shows the landing step4 ,this is got out long enough to reach from wall to wall4 ,this step is glued up in the shop with the rest2 the nosing is worked on the solid and returned as far as ,e1 about #b or #c inches on4 ,the scotia is fixed around the circular part after all is fixed4 ,fig4 #i shows the top landing step4 ,this too goes from wall to wall1 and is treated in the same way as ,fig4 #h1 only the nosing is worked from end to end4 ,illustration3 ,,plate #aj4 ,,plate ,x4 ,,details ,,of ,,construction1 ,,showing ,,an ,,apparatus ,,for ,,marking ,,the ,,length ,,and ,,cuts ,,of ,,balusters ,,around ,,the ,,circular ,,parts4 ,fig4 #a shows part plan of stairs for a side wreath starting from a newel4 ,the farther out the newel stands1 within reason1 the better will be the appearance1 provided it does not obstruct the passage in any way4 ,fig4 #b shows the construction of the curved steps4 ,let the pieces marked ,a be in two pieces1 as shown1 glued and screwed together1 with the grain crossing each other as much as possible4 ,the riser is reduced1 as shown1 as far as the work goes1 to within about #c inches of the end1 as shown by ,b4 ,the little piece of straight on the face of riser at ,b can be cleaned off in continuation of the curve after it is glued up4 ,screw through the blocks into the end of riser at ,b1 then bend the veneer around1 put on hand-screws to hold the riser and block together while wedging1 and before removing the hand-screws put in the screws as shown4 ,the scotia is screwed to the under side of the tread1 and holes bored in the bottom edge of riser so as to get a screw-99driver in1 and screw the riser on from the bottom1 the screws going through the scotia into the tread4 ,fig4 #c shows the block for a curtail step4 ,the step is struck from the same centres as the handrail1 which is explained on plate4 ,the block is got out in three thicknesses2 the grain of two pieces can run in the same direction as the riser1 and the middle pieces in the direction of ,s ,s4 ,the balusters will regulate the size of the block1 as shown4 ,this step is constructed on the same principle as ,fig4 #b1 the scotia being in the solid4 ,the nosing will be worked on the tread in the solid and returned at ,r through the string4 ,the piece marked ,h is a piece of -inch iron twisted so as to screw to the under side of the tread and to the inside of the string4 ,the last baluster on the step should be iron1 shouldered to fit on the top of the tread1 and a pin on it to go through the step1 with a thread for a nut to screw it up tight from the bottom4 ,they are sometimes run in with sulphur instead of the nut2 in that case it can be fixed after the step is fixed1 but the nut makes the best job4 ,fig4 #d shows an apparatus for cutting up the balusters around the wreaths4 ,it is a very simple affair1 easily made and easily applied2 it makes a perfect fit1 and the saving of time is very great4 ,the box is made the size of the baluster on the inside1 the back ,c is #a inch thick1 and the sides inch4 ,the pieces marked ,a are cut as shown1 and slotted1 a couple of screws are screwed into the sides with washers on1 for ,a to slide up and down4 ,b is a piece of zinc screwed on to ,a1 as shown1 with the head countersunk flush4 ,b must be about inch narrower than the balusters1 so as to go into the groove of the under side of handrail4 ,the screws in ,b must be so that they can be turned either way with the fingers1 while those in the sides must be so that ,a will slide up and down easy4 ,the box will be about #b feet long1 cut off perfectly square at the bottom end4 ,to mark the balusters1 stand the box on the tread so that the inside of it will be immediately over where the baluster has to go4 ,slide up ,a on either side so that ,b will go into the groove of the under side of the handrail1 then turn ,b on both sides to fit the rail4 ,take it away and lay it down1 and lay the baluster in it1 and mark it top and bottom4 ,the dovetail has of course to be added4 ,the distance between the two pieces of zinc must be the same as the balusters and inside of the box1 and the centre of ,b must be in a line with the centre of the side of inside of box4 ,fig4 #e shows the plan1 and ,fig4 #f the sectional elevation1 of a part of stairs1 with winders in the quarter space1 and a quarter space landing to give access to a doorway4 ,the dotted lines show the carriages and landing4 ,the back edges of the treads are kept inch beyond the back of risers to form a ledge4 ,the cross piece ,g is fixed to receive the carriages1 as shown4 ,the pieces ,f are fixed1 as shown1 let into the wall one end1 and fixed to the back of the well the other4 ,these pieces are fixed under each tread flush with the back edge1 the width depends upon the well string2 they are kept so that the plaster will finish flush with the bottom of the well4 ,the short carriages ,c are cut tight in between ,f and ,f1 and they must be wide enough to notch over the projection of the back edge of the treads1 as shown by ,e1 ,fig4 #f4 ,if these short carriages are cut in tight it makes a good sound job1 and rough brackets can be nailed on them1 and blocked and glued as for the straight parts4 ,the laths will go from ,f to ,f4 ,d is put in to take the laths1 as the distance here from ,f to ,f is too much without them1 and ,e is to take the ends of laths along the wall4 ,the landing will be understood4 ,the joists ,k are put in to receive the floor and laths4 ,fig4 #g shows the joint of the two diagonal joists4 ,fig4 #h shows the joints at the external angle of the landing1 the bolt going through the three1 ,j ,a ,h1 as shown4 ,illustration3 ,,plate #aa4 ,,plate ,,xi4 ,,details ,,of ,,construction4 ,fig4 #a is an enlarged plan of ,fig4 #a1 ,plate ,x4 ,the face of risers must be set off on the centre line of rail to suit the falling line of handrail1 which should be ascertained first4 ,the line of travel is #ae inches from the centre line of rail1 and the winders are divided on this line4 ,fig4 #b shows the development4 ,cut a piece of thin board to fit the face of string around the zinc circle on plan1 as shown by ,fig4 #c4 ,bend a thin lath around it1 and mark the springing on to it and all risers between4 ,lay this lath on ,fig4 #b1 and mark the springing and position of risers1 as shown4 ,the position of risers outside of the springing can of course be taken off the plan4 ,draw one or two full size steps top and bottom1 and a part of the straight strings as shown4 ,continue the bottom edge of string to form a nice easy falling line connecting the straight parts1 as shown by the curved parts1 ,fig4 #b4 ,fig4 #d shows a cylinder made to fit the inside face of the circular string4 ,before the veneer is put on1 glue some paper all over the outside of this cylinder and let it dry4 ,then1 should any glue get between the veneer and cylinder1 it will pull the paper off instead of sticking to the wood1 and perhaps break the veneer2 the paper can be washed off4 ,bend the lath around the cylinder on top of the paper1 and mark the springing1 as shown1 on both sides4 ,do this at both ends1 and mark the springing down the sides with a straight-edge4 ,now get a piece of veneer a full #a_/af inch thick1 the size shown by the straight dotted lines1 ,fig4 #b4 ,cut the bottom edge to the curve ,s ,s4 ,mark the springing and each step on the veneer4 ,it is as well to mark these on both sides4 ,in putting this on the cylinder take care to have it the right hand4 ,fix on one side first with a hand-screw1 so that the springing on the veneer is on the springing on the cylinder1 then bend it around and fasten the other side temporarily4 ,then get two pieces of veneer1 inch thick and about #a inch wide1 cut to the shape of the curves ,s ,s and ,n ,n4 ,now bend the two pieces around on the top of the first piece1 keeping the edge ,s ,s flush with the bottom edge of the large veneer4 ,it will be seen that the three thicknesses of veneer will form the sinking in the string #e_/af inch deep4 ,next get a piece the exact thickness of the sinking #e_/af inch1 and cut it to the shape of the sinking1 as seen at ,fig4 #e4 ,put plenty of saw kerfs in the direction shown1 that is1 parallel to the springing4 ,let the kerfs go past the springing a bit on both ends4 ,now bend this around the cylinder with the kerfs next to it1 and the edge close up to the veneers4 ,now get the staves about #b inches by #b inches1 and bevel the edges to fit each other around the circle and hollow the under side to fit in the veneer1 also cut the ends out to fit over the sinking4 ,start one side first with straight pieces as far as the springing and screw it down1 then work from this piece and go right around1 screwing each piece as it is fitted1 until they are all on4 ,next start in the centre and take off one side1 numbering each piece as it is taken off1 lift up each of the three pieces of veneer and glue between them1 screw the staves on again except the centre one1 take them off on the other side and glue in the same way1 after which screw on all the staves again4 ,to glue the staves1 again start in the centre and take off one1 well glue the bottom next to the veneer and screw it down tight4 ,take off the next one to it and glue the bottom and side going against the one already glued4 ,repeat this process until all are fixed1 but never glue more than one at a time4 ,it may be found necessary to steam the veneer4 ,this is sometimes done in a box made for the purpose1 where there is steam to be had1 but failing that1 boiling in the glue-pot is used4 ,but this is not a good thing to do if it can be avoided1 as the dryer it is put on the better for the job4 ,fig4 #f shows an enlarged section through the joint ,a ,b1 ,fig4 #d4 ,f is a section of ,fig4 #e4 ,fig4 #g shows the well in position4 ,if a -inch bead is used for the bottom edge1 a piece of -inch cane can be bent around the well in continuation of the bead4 ,this work must be all fitted before it leaves the bench1 ready to go into its place when fixed4 ,,handrailing4 ,the handrail is that portion of the fence carried up on the outside of the stairs and supported by the balusters1 which are let into the ends of the treads4 ,while these balusters form protection1 the rail is to assist in the ascent and descent of the stairs4 ,it is very evident the rail should be a uniform height over the line of nosings4 ,this height should be #b feet #h inches1 measured vertically over the face of risers1 from the top side of tread to the top side of rail4 ,and it will be seen that the risers around the circular parts should be placed so as to have the best possible falling line of rail1 while the balusters should be1 if anything1 a trifle longer than on the straight parts4 ,the method adopted in this work is as follows3--,the plan of centre line of rail is first laid down1 and the tangents and face of risers drawn4 ,next the centre line of rail is unfolded1 or developed1 on a board1 with position of risers thereon4 ,then the centre falling line of rail is drawn1 resting on the corners of the full-size steps and continued across the well4 ,and here it is where good taste and judgment is required1 so as to get a good falling4 ,after the falling line has been drawn it will be seen at once if any improvement can be made in the position of the risers4 ,the development of tangents is next drawn to suit the falling line of rail4 ,the face moulds are next got out of some thin stuff4 ,the tangents on the moulds will equal the tangents developed in the elevation4 ,this will be better understood by referring to the succeeding drawings4 ,two face moulds are used1 one for each side of the plank4 ,the tangents and sections are the same on each mould1 but as the width is on the inside of one mould and on the outside of the other1 this gives the wreath the necessary twist4 ,the wreath having been cut out square through the plank and the joints made1 and the tangents squared across the joints1 the face moulds are then tacked on1 with the ends of both moulds flush with the joints1 and the tangents on both face moulds are put to the tangents squared across the joints of wreath1 there being no pushing or sliding the mould in any shape or form4 ,the inside and outside is now sawn off1 the saw always being held in the same direction as the section lines on the face moulds4 ,a bevel is obtained for each section and set off on a board4 ,the width of rail is also drawn on the same board1 and where the bevel cuts the centre of width of rail1 is the centre of plank4 ,now as the face mould gives the height of the centre of plank at each section1 these heights are transferred to the elevation1 which shows at once if the falling line is any1 and how much1 out of the centre of plank4 ,then the sections of rail are drawn on the board above1 or below1 where the bevel cuts the centre of width of rail1 according to what the falling line is out of the centre of plank at each section4 ,this shows what superfluous stuff there is to come off the top side of the wreath at each section1 which is marked on to the wreath before the face moulds are removed4 ,this superfluous stuff is then sawn off1 keeping the saw in the direction of the section lines1 after which the wreath is gauged to a thickness and the superfluous stuff sawn off the bottom4 ,i may say that this system has been put to practical test1 and some of the very best examples of handrailing have been done by it with the very best results4 ,but it was found to be a great advantage to use a machine gig-saw3 they can be bought the same as any other saw1 and if it is fixed into a bow-saw frame1 or a frame made for it1 no difficulty will be experienced in sawing out any wreath shown in this book4 ,the advantages of this system are3-- #a4 ,the tangents are made to conform to the falling line of rail1 instead of the falling line having to conform to the tangents1 as is the case in most systems4 #b4 ,the wreath being sawn out to the section lines instead of vertical1 as is the case with cylindrical wreaths1 saves more than half the time in squaring4 #c4 ,the wreath being straight across on the inside and outside in the direction of the section line1 instead of concave on the inside and convex on the outside1 as is the case with a cylindrical wreath1 is much easier to mould1 and has a much better appearance by far when finished4 #d4 ,it has all the advantages of falling moulds without the trouble of getting them out1 and it can always be ascertained what any part of the falling line is out of the centre of the plank4 #e4 ,it takes the minimum thickness of stuff1 as it can always be seen exactly what thickness will be required4 #f4 ,the system of bevelled joints does away with the short ramps1 and thereby saves both labour and material2 besides there is only one joint instead of three4 ,it will be seen that in no case in this book is extra thickness of stuff required4 ,illustration3 ,,plate #ab4 ,,plate ,,xii4 ,,on ,,oblique ,,planes ,,and ,,their ,,traces4 ,if the surface of a solid is neither horizontal or perpendicular it is oblique4 ,thus1 if we place a box on the table1 the top of the table represents the horizontal plane and the side of the box the vertical plane1 and the intersection of the box and the table is the ground line1 or ,x ,y4 ,draw a line out square from the box on the table1 marked ,n ,n1 ,fig4 #a4 ,hold the end of a book on this line1 with its edge against the side of the box in an inclined position2 mark a line on the side of the box3 this line is the vertical trace1 because the oblique plane has cut the vertical plane on this line4 ,before moving the book mark a line on the table3 this is the horizontal trace1 for the same reason that the oblique plane has cut the horizontal plane on this line4 ,fig4 #b shows the horizontal trace inclined #fj to the vertical plane4 ,draw the dotted line ,n ,n on the table1 making an angle of #fj with the box4 ,place the end of a book on this line1 and while in an inclined position mark the vertical and horizontal traces the same as in ,fig4 #a4 ,to find the true inclination of the oblique plane take ,f for centre1 and for radius ,f ,r1 strike the arc to cut ,x ,y in ,p2 join ,e ,p1 which is the true length and inclination of a line on the oblique plane1 to stand vertically over ,f ,r4 ,all lines on the oblique plane parallel to the horizontal trace will be level1 and all lines square to it will be the true inclination of the surface of the oblique plane4 ,fig4 #c4 ,it is required to cut a block of wood the size of the square ,a ,b ,c ,o1 its side ,a ,b to be #e inches high1 and its top surface inclined #cj to the horizontal plane4 ,on the oblique surface project an ellipse that will stand vertically over the quarter of circle on plan4 ,let ,a ,b ,c ,o be the plan and ,b ,c ,r ,n the elevation4 ,project #g1 #h1 #i on to the oblique surface1 as shown by #a1 #b1 #c4 ,fig4 #d shows a cuneiform sketch of the block4 ,make ,b ,n and ,c ,r equal corresponding letters1 ,fig4 #c2 join ,r ,n2 square out lines from ,n ,r2 make ,n ,a1 ,r ,o equal ,a ,b1 ,fig4 #c4 ,to complete the figure1 make ,a ,a equal ,b ,n1 and ,o ,o equal ,c ,r4 ,to draw the ellipse1 make ,n #a #b #c ,r equal ,n #a #b #c ,r1 ,fig4 #c4 ,make #a #g and #b #h and #c #i equal #d #g and #e #h and #f #i1 ,fig4 #c4 ,trace the curve through ,a #g #h #i ,r as shown4 ,if this block is cut out in a vertical direction to the ellipse on its surface it will stand correctly over the quarter of circle1 its plan4 ,fig4 #e4 ,cut a block of wood so that its edge will stand vertically over ,a ,b ,c ,o4 ,the top of the block to be hard down at ,a4 ,from ,a to ,b rise #c inches1 and from ,b to ,c #d inches more4 ,make ,b ,f equal #c inches and ,c #e1 #g inches4 ,join #e1 ,f extended to cut ,x ,y in ,e4 ,join ,e ,a1 which is the horizontal trace1 and ,e ,f #e1 the vertical trace4 ,f #e will be the inclination of the edge of the block over ,b ,c4 ,to get the length and inclination of the edge over ,a ,b1 take ,b for centre and ,b ,a for radius1 strike an arc to cut ,x ,y in ,h4 ,join ,f ,h for the required edge4 ,the process of getting the lines on the oblique surface of this block1 as shown at ,fig4 #f1 is the same as most of the face moulds as laid down in this book1 and let it be understood that if the problems on this and the following ,plate are properly mastered1 the foundation upon which this system depends has been laid1 and all the plates that follow are purely a matter of detail4 ,let the instructions given here be carried out1 and cut the blocks of wood as described1 when the meaning and intention of every line will be clearly illustrated1 and the way cleared for further progress4 ,make ,e ,f #e equal ,e ,f #e1 ,fig4 #e4 ,take the distance ,f ,h1 ,fig4 #e1 in the compasses1 with ,f1 ,fig4 #f1 as centre1 strike an arc at ,a4 ,with ,e ,a1 ,fig4 #e1 as a radius1 and ,e1 ,fig4 #f1 as centre1 strike an arc to intersect the first one at ,a4 ,join ,e ,a for horizontal trace and ,f ,a for the top edge of the block over ,a ,b4 ,draw from #e parallel to ,f ,a1 and from ,a parallel to ,f #e4 ,then ,o will be the centre of the ellipse1 as it will be vertical over the centre on plan4 ,a line drawn on an oblique plane square to the horizontal trace and passing through its centre is the major axis1 and a line drawn parallel to the ,h ,t and passing through its centre is the minor axis4 ,make #b #c #j #e equal #b #c #j #e1 ,fig4 #e4 ,make #c #f and #j #g equal #h #f and #j #g1 ,fig4 #e1 and trace the curve through ,a #f #g #e4 ,illustration3 ,,plate #ac4 ,,plate ,,xiii4 ,,on ,,projection ,,of ,,oblique ,,planes1 ,,etc4 ,should any part of a plan be a circle1 it will when projected on to an oblique plane be an ellipse4 ,thus1 take any one round piece of wood1 cut one end off square to its side1 this end will be a true circle4 ,cut the other end to any angle1 which will then be an ellipse1 and when the piece is stood on end will be vertical over the circle1 its plan4 ,fig4 #a shows this4 ,and it will be seen1 no matter what angle the oblique plane may be1 the minor axis never changes1 it is always the same length as on plan1 as are all lines parallel to it2 but not so with the major axis1 which always lengthens as the angle increases4 ,fig4 #b shows a quarter of a circle projected on to an oblique plane1 inclined #de to the horizontal plane4 ,fig4 #c shows a plank inclined #de to the horizontal plane1 with a quarter of an ellipse traced on its oblique surface4 ,at any point on the curve draw a section line and a normal tangent4 ,cut the plank square through to the section line4 ,draw a level line on the square cut1 and produce a bevel that will1 when the stock is held to the section line on the oblique surface1 produce with its blade a line across the cut that will be perpendicular to the level line on the square cut4 ,at any point on the curve1 say at ,s1 draw a line square to1 and to cut the major axis in ,p2 draw the level line on the edge to cut the vertical line from the centre ,o in ,n2 draw ,r ,n square to the major axis4 ,join ,r ,s1 which is the section line2 draw the tangent square to it through ,s4 ,cut the plank through to the lines ,s ,r and ,r ,n2 join ,n ,s after the cut is made4 ,to get the bevel1 draw ,a ,a parallel to1 and at a distance away from ,o ,n1 equal to minor axis or radius of circle on plan4 ,take the compasses1 and for centre put one foot at ,o1 and for radius strike an arc just touching the tangent through ,s1 bring it around to cut ,a ,a in ,h1 join ,o ,h for the required bevel4 ,this bevel1 when applied across the cut1 will be square to the level line ,s ,n4 ,illustration3 ,,plate #ad4 ,,plate ,,xiv4 ,,level ,,landing ,,wreath1 ,,or ,,half ,,twist4 ,fig4 #a shows the plan of the rail1 with the top riser placed in the springing and the level rail #d inches above the landing1 so that when the rail is raised to its proper height1 #b feet #h inches above the treads1 measured vertically over the face of the risers to the top of rail1 it will be #c feet from the landing to top of level rail4 ,to get the radius of the centre line of rail1 make ,b ,h1 ,fig4 #c1 equal #d inches2 then ,a ,b will be the required radius4 ,at ,fig4 #b set up one step and landing4 ,draw the centre falling line resting on the corners1 also draw the level rail #d inches above the landing4 ,make ,n ,c equal the stretch-out of the centre line of rail1 ,fig4 #a1 and complete the falling line from ,a to ,c1 as shown4 ,fig4 #d shows the face mould4 ,draw ,a ,b ,c at right angles4 ,make ,a ,s equal ,a ,s1 ,fig4 #b1 and ,a ,b equal ,a ,h1 ,fig4 #c1 and ,b ,c equal ,b ,c1 ,fig4 #a1 and ,c ,p equal ,c ,p1 ,fig4 #b4 ,from ,a draw ,a ,o parallel to ,b ,c1 and from ,c draw ,c ,o parallel to ,a ,b4 ,then ,o will be the centre1 ,a ,o the semi-minor axis1 and ,o ,c the semi-major axis4 ,to get points in the curve and draw section lines1 take ,o ,c1 ,fig4 #a1 for radius and ,c1 ,fig4 #d1 for centre2 strike an arc on the left2 draw ,v ,l through the centre1 and tangent to this arc2 draw from ,c square to ,v ,l4 ,say there are to be two sections marked #e and #f1 ,fig4 #a4 ,make ,c #b #a equal ,c #b #a1 ,fig4 #a4 ,draw from #a and #b parallel to ,v ,l to cut ,o ,c in #c and #d4 ,from #c and #d draw parallel to ,a ,o1 and make #d #e and #c #f equal #a #f and #b #e1 ,fig4 #a2 then #e and #f will be points in the curve4 ,from #c and #d draw square to and cut ,v ,l in #g and #h2 from #g and #h draw square to and cut ,o ,c in #i and #aj2 join #i #e and #f #aj for section lines4 ,to get bevels1 width of mould1 c3--,on a piece of board draw two parallel lines1 at a distance apart equal to radius of centre line of rail1 as shown by the lines ,r ,r1 ,fig4 #e2 also draw the width of rail1 as shown by ,w ,w4 ,for the section at ,c1 make #a #b1 ,fig4 #e1 equal ,o ,c1 ,fig4 #d2 draw section of rail2 draw ,e ,f parallel to #a #b1 to cut the top corner of section of rail4 ,then ,o ,c will be half thickness of plank and ,e ,c ,f the width of mould4 ,for section #e1 with ,o1 ,fig4 #d1 as centre1 strike an arc to just touch the tangent from #e2 make #c1 #d1 ,fig4 #e1 equal this distance4 ,make ,o #e equal half thickness of plank and draw ,r ,n parallel to #c #d1 then ,r #e ,n will be width of mould on this section4 ,the process of getting bevel and width of mould for section #f is the same1 always squaring out the line from the centre of section of rail and setting off half thickness of plank1 and drawing the top or bottom side of plank parallel to the bevel line through the centre of section4 ,to complete the face mould make ,c ,e and ,c ,f equal ,c ,e and ,c ,f1 ,fig4 #e4 ,for section #e make #e ,r and #e ,n equal #e ,r and #e ,n1 ,fig4 #e4 ,for section #f make #f ,s and #f ,p equal #f ,s and #f ,p1 ,fig4 #e4 ,the section on the minor axis requires no bevel1 as was explained in ,plates ,,xii4 and ,,xiii4 ,this line never exceeds its plan1 therefore on this line the face mould never exceeds the width of rail4 ,complete the face mould as shown4 ,illustration3 ,,plate #ae4 ,,plate ,,xv4 ,,level ,,landing ,,wreath1 ,,or ,,half ,,twist--continued4 ,fig4 #a shows the plank from which the wreath is to be cut out4 ,lay the face mould on1 and transfer the tangents on the face of the stuff4 ,mark off each side of the tangent at ,p1 ,o ,h to equal ,c ,h1 ,fig4 #e1 ,plate ,,xiv41 and cut the wreath out square through the plank1 as shown by dotted lines1 taking care to have the wreath cut full on the minor axis at ,a1 and along the shank to ,s1 as this part does not exceed the width of the rail4 ,fig4 #b shows the wreath after being cut out square through the plank4 ,plane one side perfectly true1 then get it to its required thickness4 ,it is very important that the stuff should be got to the same thickness as drawn at the sections1 that is1 twice the thickness of ,o ,c1 ,fig4 #e1 ,plate ,,xiv4 ,now make the joints square to the face of stuff and square to the tangents1 applying the square as shown4 ,so much depends upon the trueness of the joints that too much care cannot be taken with them4 ,fig4 #c shows the face mould for the other side of the stuff4 ,lay the face mould1 ,fig4 #d1 ,plate ,,xiv41 on a thin piece of stuff1 and mark off on to it the tangents ,s ,a ,b ,c ,p and the section lines1 stick a bradawl through #e and #f1 and mark off on the section lines1 on each side of ,c #e and #f1 the width as shown opposite to the first face mould4 ,fig4 #d shows the application of moulds4 ,illustration3 ,,plate #af4 ,,plate ,,xvi4 ,,level ,,landing ,,wreath1 ,,or ,,half ,,twist--continued4 ,fig4 #a shows the same wreath after the inside and outside has been cut off1 so that a straightedge will touch both face moulds all round when held in the direction of the section lines1 as shown marked across the inside4 ,to cut the wreath out get a machine gig-saw and either make a frame for it or fit it into a bow-saw frame3 this saw will be found to be much better than the ordinary bow-saw1 as it is much stiffer and will not bend in the cut1 and being thick on the teeth and thin on its back edge1 works free4 ,every wreath shown in this book can be squared with this saw1 and if care is taken in cutting the superfluous stuff off1 very little cleaning up is required4 ,the saw must always be held in the same direction as the section lines4 ,after the inside and outside has been cut off and cleaned up1 before taking the face moulds off mark down from the top on each section1 inside and out1 the distances as shown by the shaded parts on each section at ,fig4 #e1 ,plate ,,xiv41 and marked ,f ,y1 ,r ,j1 ,s ,k1 c4 ,the shaded part at ,fig4 #a shows this2 the moulds can now be removed and the superfluous stuff cut off to the lines traced through ,e ,j ,k on the inside and ,y ,a ,b on the outside4 ,the bottom can be gauged from the top with an ordinary gauge1 but should be sawn full and jointed to the straight rails before being cleaned up4 ,fig4 #b shows the same wreath1 only the rail is cut out of the top of the plank all round1 instead of the centre1 as at ,fig4 #a4 ,and this wreath has a much better appearance on the inside when finished4 ,the face moulds and their application are the same1 but as the rail is to come out of the top of the plank1 it will throw the level rail too high on the landing4 ,to obviate this the rising landing must be brought out from the springing4 ,make ,a ,b1 ,fig4 #c1 equal ,a ,b1 ,fig4 #d1 draw section of rail at ,h as shown1 draw ,s ,s parallel to ,a ,h1 make ,p ,p equal half thickness of rail1 make ,b ,a ,n1 ,fig4 #d1 equal ,b ,a ,n1 ,fig4 #c1 and draw riser as shown4 ,illustration3 ,,plate #ag4 ,,plate ,,xvii4 ,,half-,,space ,,landing1 ,,with ,,straight ,,flight ,,above ,,and ,,below4 ,fig4 #a shows the plan of rail with the risers landing and starting1 placed half a tread from ,c on each side along the centre line of rail4 ,by this arrangement we get two balusters on the landing the same distance apart as on the steps1 and the centre falling line straight4 ,draw plan of rail and enclose the centre line with tangents ,a ,b ,c ,d ,e4 ,mark off from ,c along centre line of rail on each side half a tread1 and draw face of risers landing and starting4 ,fig4 #b shows the elevation4 ,make ,a ,n equal stretch-out of centre line of rail4 ,set up two steps and landing1 taking care to draw the face of risers as they occur on the centre line of rail1 ,fig4 #a4 ,draw the falling line resting on the corners as shown4 ,for development of tangents make ,f ,d ,s equal ,e ,d ,c1 ,fig4 #a4 ,from ,d1 square up a line to cut the falling line in ,r1 then ,e ,r will be the pitch of the tangent over ,e ,d1 ,fig4 #a2 join ,r ,s for pitch of tangent over ,d ,c1 ,fig4 #a4 ,make ,e ,d ,f1 ,fig4 #a1 equal ,f ,d ,c1 ,fig4 #b1 join ,f ,c1 which is the horizontal trace4 ,fig4 #c shows the face mould4 ,make ,e ,d ,s equal ,e ,r ,c1 ,fig4 #b1 with ,d for centre1 and ,r ,s1 ,fig4 #b1 as radius2 strike an arc at ,c with ,s as a centre1 and ,f ,c1 ,fig4 #a1 as radius2 strike an arc to intersect the first one at ,c1 join ,d ,c4 ,from ,c draw parallel to ,d ,e1 and from ,e draw parallel to ,d ,c2 these lines will meet at the centre ,o4 ,join ,s ,c1 which is the horizontal trace4 ,draw the semi-major axis square to it through the centre and the semi-minor axis parallel4 ,with ,f as centre1 and ,o ,n1 ,fig4 #a1 as radius1 strike an arc at ,h2 draw ,v ,l through the centre and tangent to the arc4 ,say we have one section between the minor axis and ,c marked #a4 ,make ,h ,n equal ,o ,n1 ,fig4 #a4 ,draw ,n ,j parallel to ,v ,l4 ,make ,j ,i equal ,n ,i1 ,fig4 #a4 ,draw ,j ,p square to ,v ,l and ,p ,r square to ,f ,o2 join ,r ,i for section line4 ,for bevels1 width of moulds1 c41 take ,o for centre and for radius open the compasses to touch each tangent2 transfer these distances to ,fig4 #d1 always making the distance between the lines ,n ,r1 ,fig4 #d1 equal the radius of centre line of rail on plan4 ,draw the section of rail on each bevel and set off half thickness of plank1 and complete the sections as shown4 ,for width of mould make ,c ,i ,p and #a #c #d and ,e #f #e on section lines ,fig4 #c equal ,c ,i ,p and #a #c #d and ,e #f #e at sections ,fig4 #d4 ,it will be noticed that1 while at sections ,c and ,i the face mould has less stuff on the inside1 at section ,e1 on the other side of the minor axis1 it has more4 ,fig4 #e shows the face mould for the other side of the plank4 ,to cut the wreath out1 lay either mould on and transfer the tangents on to the stuff1 and mark off on each side of face mould on the minor axis4 ,the stuff should be cut full on this line4 ,mark off on each side of the tangents at the joint ,c the distance ,c ,p as seen at the section1 and on each side of ,e1 ,e ,y as seen at ,fig4 #d4 ,draw around roughly from ,p to the minor axis to ,y4 ,the stuff is cut square through the plank to this line inside and out4 ,plane the stuff true and gauge it to its proper thickness and make the joints square to face of stuff and to the tangents4 ,the application of the face moulds is seen at ,fig4 #f2 the tangents on both face moulds must lie on the tangents marked across both joints of the wreath4 ,now saw the inside and outside off as shown by the shaded parts at ,fig4 #f1 keeping the saw in the direction of the section lines4 ,clean up the wreath both inside and out1 always keeping the straight edge in the direction of the section lines4 ,before removing the moulds mark from the top side #bb1 #cc1 #dd1 #ee1 #ff and #gg1 as shown by the shaded parts of sections at ,fig4 #d4 ,cut the superfluous stuff off the top to these lines1 after which1 gauge to a thickness1 set the gauge full so as to allow the wreaths being cleaned up after the pair are bolted together4 ,before they are bolted and dowelled together at the centre joint them to the straight rails1 and clean off any superfluous stuff there may be on the shanks in a line with the straight rails1 and mark the section of rail on the ends of shanks before removing the straight rail2 now joint the two together4 ,but before cleaning the pair off it would be well to test the correctness of the centre joint4 ,make ,n ,y1 ,fig4 #b1 equal ,s ,y1 ,fig4 #a1 and join ,e ,y2 now if the distance from the centre of the thickness of one wreath to the centre of the thickness of the other on the inside at the sections1 at the springing1 equals ,e ,y1 ,fig4 #b1 the joint will be correct4 ,having proved the joint in this way1 clean them off while together1 then take them apart before glueing up4 ,mark the pattern of rail on the joint and mould them2 use a handrail screw to bolt the joints together with and keep them as near as possible the centre of section of rail4 ,there should be two dowels in each joint to keep them from twisting1 placed according to pattern of rail4 ,in taking the length of straight rails1 take the length of strings from springing to springing and allow for length of shanks of wreaths1 as measured from the joint to springing1 in a line with straight rails4 ,illustration3 ,,plate #ah4 ,,plate ,,xviii4 ,,from ,,the ,,level ,,to ,,the ,,rake4 ,the principal thing to consider in planning stairs of this kind is to place the riser starting1 so as to get a good falling line4 ,fig4 #a shows the plan with the centre line enclosed with tangents ,a ,b ,c ,d ,e4 ,fig4 #b shows the elevation with the centre falling line and development of tangents4 ,make ,r ,n ,s equal stretch-out of centre line of rail1 ,fig4 #a4 ,draw the landing and the level part of falling line #d inches above it to cut the centre line at ,h4 ,draw ,h ,e to pitch of pitch-board and complete the falling line from ,e to ,j2 set up the height of a riser above the landing on the right1 and draw the top of step to cut the line ,h ,e for position of riser4 ,make ,e ,p1 ,fig4 #a1 equal ,s ,p and draw face of riser starting on plan4 ,this riser must be slightly curved1 so as to get it the same width on the end as the others4 ,for development of tangents1 make #a #b #c #d ,e equal ,a ,b ,c ,d ,e1 ,fig4 #a4 ,from #d square down a line to cut ,h ,e in ,d2 from where the falling line cuts the centre line1 square out a level line to cut #c in ,c2 join ,d ,c extended to cut the line #b in ,b2 draw ,a ,b level4 ,then ,a ,b and ,b ,c will be the tangents for the bottom mould1 and ,c ,d and ,d ,e for the top mould2 make ,e ,f1 ,fig4 #a1 equal ,w ,f1 ,fig4 #b1 and join ,f ,c for ,h trace4 ,fig4 #c shows the face mould for the upper wreath4 ,make ,e ,d ,f equal ,e ,d ,f1 ,fig4 #b1 and ,f ,c equal ,f ,c1 ,fig4 #a1 and ,d ,c equal ,d ,c1 ,fig4 #b4 ,draw the major axis through the centre square to ,f ,c4 ,with ,s as centre and ,o ,n1 ,fig4 #a1 as radius1 strike an arc at ,n2 draw ,v ,l through the centre and tangent to the arc4 ,for section marked #c1 make ,n ,h equal ,o ,h1 ,fig4 #a1 draw ,h ,j parallel to ,v ,l1 make ,j #c equal ,h #c1 ,fig4 #a4 ,draw ,j ,p parallel to ,s ,n1 and ,p ,l square to major axis1 join ,l #c for section line4 ,fig4 #d shows the sections1 width of mould1 c4 ,the process of getting the bevels being the same in every case1 it would be useless repetition to describe it every time4 ,the shaded parts of sections show the superfluous stuff to come off the top side of wreath at each section4 ,fig4 #e shows the face mould for the other side of the wreath4 ,in applying these moulds care must be taken to get the twist the right way4 ,fig4 #f shows the face mould for the lower wreath4 ,as this one has only one pitch1 draw ,a ,b ,c at right angles and make ,a ,b and ,b ,c equal ,a ,b and ,b ,c1 ,fig4 #b4 ,with ,a as centre and ,a ,o1 ,fig4 #a1 as radius1 strike an arc1 draw ,v ,l through the centre and tangent to the arc2 make ,h ,s equal ,o ,s1 ,fig4 #a2 draw ,s #d parallel to ,v ,l1 make #d #b equal ,s #b1 ,fig4 #a4 ,draw #d #e parallel to ,a ,h1 and #e #f square to major axis ,a ,o2 join #f #b for section line4 ,fig4 #g shows the sections for this wreath4 ,the section at the joint ,c will be in the centre of plank1 but that at ,a and #b will be below the centre4 ,the difference between ,o ,h1 ,fig4 #f1 and ,y ,j1 ,fig4 #b1 is what the section on shank will be below the centre2 and that between ,o #e1 ,fig4 #f1 and #e #f1 ,fig4 #b1 for section #b4 ,draw the sections below the centre as shown at ,fig4 #g4 ,fig4 #h shows a sketch of the bottom wreath with the inside and outside worked4 ,the shaded parts show the superfluous stuff to come off top and bottom4 ,illustration3 ,,plate #ai4 ,,plate ,,xix4 ,,from ,,the ,,level ,,to ,,the ,,rake--continued4 ,the plan1 elevation and falling line1 and position of risers in this case are the same as in ,plate ,,xvii41 but show a different way of getting out the wreaths4 ,this may not be such a correct method as the former one1 as the centre joint will be vertical instead of square to the tangent across the well as was the case there1 but nothing could be more simple than the method here described4 ,having the plan and elevation drawn1 square out a bevel line from ,c1 to cut the springing in ,r4 ,make ,r ,f equal ,e ,d1 ,fig4 #a2 say the joint is to be at ,s on the right1 join ,s ,f1 draw the joint ,s ,p square to the straight rail1 and draw ,s ,n square to the tangent ,f ,e ,s4 ,fig4 #c shows the face mould4 ,draw ,s ,e ,d ,c at right angles1 make ,s ,e ,d equal ,s ,e ,f1 ,fig4 #b1 and ,c ,d equal ,c ,d1 ,fig4 #a4 ,to complete the mould1 make ,o ,n and ,c ,n equal ,e ,r and ,f ,r1 ,fig4 #b4 ,draw ,v ,l through ,o ,n2 make ,c ,r and ,p ,h equal ,c ,r and ,r ,h1 ,fig4 #a4 ,as will be seen1 the straight rail is not in a line with the tangent1 and as the joint must be square to the straight rail it cannot be square to the face of the plank4 ,therefore1 the face mould for the top side will require to be a trifle longer1 while the mould for the bottom side must be the same distance shorter4 ,to find out how much the joint will require to be bevelled1 mark off along ,s ,n1 ,fig4 #b1 ,s ,j to equal half thickness of plank2 then the distance between the two lines ,s ,p and ,s ,n at ,j is what the joint will be out of square to face of plank through half its thickness4 ,the shank of top face mould must be increased1 and that of the bottom reduced to this amount as shown by the shaded parts4 ,the face mould shown at ,fig4 #c1 being for the under side1 is reduced4 ,fig4 #e shows the application of the face moulds2 as there is no bevel on the shank ,e ,s the joint will only be out of square to face of plank and not to the tangent4 ,fig4 #f shows the bottom half2 this having no twist can be struck with the compasses1 the same as the plan4 ,it must be the distance ,c ,h1 ,fig4 #b1 thicker than the rail4 ,the shaded part shows how the superfluous stuff must be taken off top and bottom4 ,fig4 #g shows the pair in position after being squared4 ,illustration3 ,,plate #bj4 ,,plate ,,xx4 ,,half-,,space ,,landing1 ,,with ,,the ,,risers ,,in ,,the ,,springing4 ,fig4 #a shows the plan of a half-space landing with the centre line of rail struck with a #i-;inch radius1 and the risers starting and landing placed in the springing4 ,as the steps are only #aj inches it is very evident that if the tangents ,a ,b and ,d ,e were the same pitch as the straight rail the tangent across the well would pitch the wrong way1 which of course would not do4 ,to obviate this the tangent ,a ,b must only rise half a riser over ,b1 and the tangent ,d ,e only fall half a riser over ,d1 and the tangent across the well level and the joint on the end of shanks must be bevelled so as to joint square to the straight rail4 ,fig4 #a shows the plan with the risers in the springing4 ,fig4 #b shows the elevation4 ,make ,s ,n equal stretch-out of centre line of rail4 ,set up one step above and below and draw landing2 also draw the centre falling as shown1 this line must pass through the centre at the height of half a riser above the landing1 and make a good easing into the straight rail above and below the springing4 ,for development of tangents make ,f ,b equal ,a ,b1 ,fig4 #a1 and draw from ,b to the joint below the springing2 draw ,r ,p square to the straight rail1 which will be the joint1 and ,r ,n square to the tangent ,a ,b4 ,fig4 #c shows the face moulds4 ,as the tangent ,b ,c is level draw ,a ,b ,c at right angles2 make ,r ,a ,b equal ,r ,a ,b1 ,fig4 #b1 and ,b ,c equal ,b ,c1 ,fig4 #a1 and complete the mould as usual4 ,it will be seen that the sections will be in the centre of the plank at both joints4 ,for section ,p1 make ,f ,h1 ,fig4 #b1 equal ,a ,p1 ,fig4 #a1 and ,h ,j1 ,fig4 #b1 equal ,h ,j1 ,fig4 #c4 ,the difference between ,j and the falling line is what the section is out of the centre of plank as shown at ,fig4 #d4 ,the difference between the tangent ,a ,b and the falling line at the springing shows that the section ,a is out of the centre4 ,the stuff must be thick enough to get this section out as required4 ,make ,r ,y1 ,fig4 #b1 equal half thickness of plank4 ,add ,y ,c to the end of shank of one face mould and reduce the other to the same amount1 as shown by the shaded parts4 ,illustration3 ,,plate #ba4 ,,plate ,,xxi4 ,,winders ,,in ,,the ,,half-,,space ,,and ,,level ,,landing ,,at ,,top4 ,fig4 #a shows the plan with the centre line enclosed with tangents4 ,having laid down the risers on plan1 keeping the narrow ends of winders as near as possible half a step1 then with one baluster on each they will be the same distance apart as on the square steps which have two4 ,this is not intended as a fixed rule but merely as a guide4 ,the risers must be placed so as to get a good falling line1 and this can only be ascertained by developing or unfolding the centre line and tangents on a board4 ,fig4 #b shows the development of centre line and tangents4 ,set up all the treads and risers as they occur on the centre line of rail1 ,fig4 #a4 ,draw the springing through ,a and ,e4 ,draw the centre falling line resting on the corners of square step at bottom and #d inches above the landing at top4 ,it is better for the falling line to be a little higher over the winders1 especially near the top4 ,to develop the tangents make the distance between the lines #a #b #c ,d ,e equal ,a ,b ,c ,d ,e1 ,fig4 #a4 ,draw ,d ,e level4 ,from the centre joint on the falling line square out a line to cut the line #c at ,c1 join ,d ,c extended to cut the line #b in ,b4 ,from where the falling line cut the lower springing1 square out a line to cut the line #a in ,a2 join ,a ,b2 then ,a ,b ,c will be the tangents for the lower wreath and ,c ,d ,e for the top4 ,decide where the joint is to be below the springing1 and draw a line parallel to the tangent ,a ,b1 and tangent to the curve of the falling line where the joint is to be4 ,the joint must be square to this line4 ,it will be necessary to have a ramp here to ease into the straight rail1 this is shown by the dotted lines4 ,in the next plate is shown a method of easing the wreath into the straight rail without the aid of a ramp4 ,fig4 #c shows the bottom face mould4 ,make ,c ,b ,f and ,b ,a equal ,c ,b ,a and ,b ,a1 ,fig4 #b1 and ,f ,a equal ,f ,a1 ,fig4 #a1 and complete the mould as usual4 ,to find what each section is out of the centre of the plank1 make ,w #d #e1 ,fig4 #b1 equal ,c #d #e on the centre line of rail1 ,fig4 #a2 make #d #d and #e #e1 ,fig4 #b1 equal ,n ,o and ,n ,h1 ,fig4 #c4 ,the difference between the falling line and #d is what the section #d on the minor axis is above the centre2 and that between #e and the falling line is what the section #e is out of the centre4 ,the section at both joints is in the centre1 but at the springing ,a the falling line is a little above the centre1 as it cut the springing above the level line ,a ,w1 which is the height of the centre of the plank there4 ,get out the mould for the opposite side of the plank in the usual way1 by laying ,fig4 #c on a thin piece of stuff1 and transfer the tangents and section lines on to it4 ,stick a bradawl through ,a #e #d ,c and mark off out to it ,a #g #e #h and #e #i1 and ,c #aj and ,c #aa1 only on the opposite side4 ,work the inside and outside off first with a gig-saw1 as before described4 ,the shaded parts of sections at ,fig4 #d show the superfluous stuff there is to come off the top side4 ,fig4 #e shows the face mould for the top half4 ,draw ,c ,d ,e at right angles1 and to equal ,c ,d ,e1 ,fig4 #b4 ,to see what the sections are out of the centre1 make ,e #c #b1 ,fig4 #b1 equal ,e #c #b on centre line of rail1 ,fig4 #a4 ,make #b #b and #c #c1 ,fig4 #b1 equal ,s ,r and ,s ,l4 ,the difference between #b and the falling line is what the section #b is below the centre of plank1 and that between #c and the falling line is what the section #c is below the centre4 ,and that between ,e and the falling line is what it is below there4 ,fig4 #f shows the sections1 and the shaded part shows the superfluous stuff there is to come off the top at each section1 after the inside and outside have been cut off4 ,fig4 #g shows the wreath after the inside and outside have been cut off2 the dotted lines show the wreath cut square through the plank4 ,illustration3 ,,plate #bb4 ,,plate ,,xxii4 ,,winders ,,in ,,the ,,half-,,space1 ,,with ,a ,,straight ,,flight ,,above ,,and ,,below1 ,,wreath ,,to ,,form ,,its ,,own ,,easing4 ,fig4 #a shows the plan with face of risers laid down4 ,it will be noticed that the winders commence at the springing at the top1 while they are brought past the springing at the bottom2 this causes the rail to be high at ,e and1 therefore1 safer for any one coming down the stairs with their hand on the rail2 and by bringing the winders below the springing it makes a better easing into the straight rail4 ,this will be understood by referring to ,fig4 #b1 where the centre line and tangents are developed4 ,set up the treads and risers as they occur on the centre line of rail1 ,fig4 #a2 also draw the springing and the centre line ,w4 ,draw the centre falling line resting on the corners of square steps top and bottom1 and continue it up over the winders as shown by the dotted line4 ,to develop the tangents make the distance between #a #b #c #d #e equal ,a ,b ,c ,d ,e1 ,fig4 #a4 ,from where the falling line cuts the centre line square out a level line to cut the line #c at ,c4 ,continue the top tangent down in a line with the straight rail to cut the line #d in ,d4 ,join ,d ,c extended to cut the line #b in ,b4 ,now make the joint below the springing1 as near to it as possible1 so that it will be clear of the easing4 ,there being no ramp on the straight rail1 the joint should be well clear of the easing and into the straight so as to avoid any signs of a cripple when the wreath is jointed to the straight rail1 which there would be if the joint was made in the easing4 ,square out a level line from the joint ,p1 and make ,p ,r equal the distance between the line #a and the springing4 ,join ,r ,b1 this has cut the line #a at ,a4 ,from ,a draw ,a ,w level4 ,from ,r draw the joint square to the straight rail1 and ,r ,p square to the tangent ,a ,b ,r4 ,make ,d ,f1 ,fig4 #a1 equal #d ,f1 ,fig4 #b1 and join ,f ,e for the horizontal trace of the top wreath4 ,make ,b ,s1 ,fig4 #a1 equal #f ,s1 ,fig4 #b1 and join ,s ,a for the horizontal trace of the bottom wreath4 ,fig4 #c shows the face mould for the top wreath4 ,make ,c ,d ,f equal ,c ,d ,f and ,d ,e equal ,d ,e1 ,fig4 #b1 and ,f ,e equal ,f ,e1 ,fig4 #a4 ,draw from ,e parallel to ,d ,c and from ,c parallel to ,d ,e to meet at the centre ,o4 ,draw the major axis square to the horizontal trace ,f ,e4 ,with ,m as centre and ,o ,m1 ,fig4 #a1 as radius strike an arc at ,n2 draw ,v ,l through the centre and tangent to the arc1 and complete the mould as usual2 ,m ,s will equal ,m ,s1 and ,t ,j will equal ,s ,j1 ,fig4 #a4 ,fig4 #d shows the sections4 ,s ,s will equal the radius of centre line of rail1 ,fig4 #a1 and for bevels place one foot of the compasses on the centre ,o1 ,fig4 #c1 and open out to touch each tangent1 then transfer these distances to each section1 ,fig4 #d4 ,to find what each section is out of the centre of the plank1 make ,e ,j ,k1 ,fig4 #b1 equal ,e ,j ,k on the centre line of rail1 ,fig4 #a4 ,make ,j ,j and ,k ,k1 ,fig4 #b1 equal ,n ,h and ,n ,o1 ,fig4 #c4 ,now the difference between ,e and the falling line is what the section is below the centre at the springing1 and that between ,j and the falling line is what the section is below the centre1 and that between ,k and the falling line is what the section on the minor axis ,k is above the centre2 the sections at both joints are in the centre of the plank4 ,fig4 #e shows the bottom face mould4 ,r ,a ,b will equal ,r ,a ,b1 and ,s ,b ,c will equal ,s ,b ,c1 ,fig4 #b1 and ,a ,s will equal ,a ,s1 ,fig4 #a4 ,proceed as usual to get bevels1 sections and width of mould4 ,now1 as the tangent ,a ,b is not in a line with the straight rail1 and the joint being square to the latter1 the end of shank must be bevelled so as to joint correctly to the straight rail4 ,draw ,p ,p1 ,fig4 #g1 to the same bevel as that for the shank marked ,o ,o1 ,fig4 #f4 ,draw ,c ,d1 ,fig4 #g1 square to ,p ,p1 make ,c ,n equal #b #b at section ,a1 ,fig4 #f1 draw the level line through ,n to cut ,p ,p in ,e and ,c ,d in ,d4 ,now1 at ,fig4 #b mark off along ,r ,p1 ,r ,s to equal #b #b or #a #a1 ,fig4 #f4 ,make ,c ,s and ,c ,s1 ,fig4 #g1 equal ,s ,s1 ,fig4 #b1 and join ,s ,e and ,s ,d for bevels ,t and ,s4 ,apply the bevel ,t as shown and ,s as shown at ,fig4 #h4 ,the face mould for the under side will be ,s ,s1 ,fig4 #b1 longer1 and that for the top side the same amount shorter4 ,illustration3 ,,plate #bc4 ,,plate ,,xxiii4 ,,quarter-,,space ,,landing1 ,,wreath ,,in ,,one ,,piece4 ,fig4 #a shows plan of centre line of rail enclosed with tangent ,a ,b ,c4 ,draw risers1 landing1 and starting half a tread from ,b4 ,this will cause the tangents on face moulds to be the same pitch as the straight rail4 ,this arrangement answers very well if the rail is small1 but if the rail is a wide one1 say #d inches or more1 the inside has a crippled and awkward appearance4 ,fig4 #b4 ,make ,r ,s equal stretch-out of the quadrant1 ,fig4 #a4 ,set up one tread and riser above and below1 as they occur on the centre line of rail1 ,fig4 #a4 ,for development of tangents make ,c #b #a equal ,a ,b ,c1 ,fig4 #a4 ,square out a level line from the springing at ,s to cut the line #a at ,a4 ,join ,a ,c for tangents1 which will be the same pitch as the straight rail4 ,fig4 #c shows face mould4 ,make ,c ,b ,s equal ,c ,b ,a and ,b ,c equal ,b ,c1 ,fig4 #b1 and ,s ,c equal the diagonal of the square on plan4 ,draw ,c ,o and ,b ,o parallel to ,a ,b and ,b ,c4 ,draw sine major axis and sine minor through ,o4 ,notice the major axis is parallel to the diagonal from ,a to ,c1 and the minor axis is the other diagonal4 ,both pitches being the same throws the horizontal trace parallel to the diagonal from the centre to ,b4 ,one bevel will do for both shanks1 as the pitches are the same4 ,the falling line will be in the centre of plank at both ends and at the minor axis4 ,fig4 #d shows the section1 which is the same for both ends1 only of course the reverse hand4 ,,side ,,wreath ,,starting ,,from ,a ,,newel4 ,fig4 #f shows the plan of centre line of rail of a side wreath starting from a newel4 ,lay down the tangents ,a ,b and ,b ,c equal in length and to the required angle1 according to circumstances1 the size of the hall1 c4 ,the farther it stands out into the hall the better it will look1 but it must not obstruct the passage or be out of proportion to the size of the stairs4 ,b should be in front of the second riser1 or it will make the rail too high at the newel4 ,a will be the face of the newel4 ,draw from ,a square to ,a ,b1 and from ,c square to ,c ,b to meet in ,o4 ,then ,o ,a will be the radius of the centre line of rail1 which draw4 ,then ,a ,b being level will be the horizontal trace4 ,fig4 #g shows the elevation4 ,set up a tread and risers and draw the springing ,c as it occurs on the plan4 ,make ,c #c equal ,c ,b1 ,fig4 #f1 and draw ,b ,c ,s resting on the corners4 ,fig4 #h shows the face mould4 ,draw the line ,a ,p1 and make ,a ,d ,p equal ,a ,d ,o1 ,fig4 #f4 ,draw ,v ,l through ,p at right angles to ,a ,p4 ,draw ,d #h parallel to ,v ,l1 make ,d #h equal ,b #c1 ,fig4 #g2 join ,a #h extended to cut ,v ,l in ,o2 then ,o will be the centre4 ,make ,a ,b and #h ,c equal ,a ,b and ,d ,c1 ,fig4 #f4 ,the completion of the mould will be understood4 ,the tangent ,c ,b will equal ,c ,b1 ,fig4 #g1 if the drawing is correct4 ,fig4 #i shows the sections which will be in the centre of plank all round4 ,illustration3 ,,plate #bd4 ,,plate ,,xxiv4 ,,quarter-,,space ,,landing1 ,,wreath ,,in ,,two ,,pieces4 ,it was said in a previous case that with a wide rail and the tangents on the same pitch as the straight rail1 the inside of rail has a crippled appearance4 ,this can be remedied by having the wreath in two pieces4 ,fig4 #a shows the plan laid down so as to make the inside falling line of rail a straight line2 and the risers landing and starting placed in the springing4 ,to find the radius of centre line of rail1 ,fig4 #a4 ,make ,s ,n1 ,fig4 #g1 equal one step4 ,from ,n draw ,n ,r at #de with ,s ,n1 and from ,s draw a line at #fj with ,s ,n to meet the line from ,n in ,r1 from ,r draw square to and cut ,s ,n in ,p2 then ,r ,p will be the radius for the inside of the rail on plan4 ,fig4 #b shows the development4 ,make ,h ,r equal stretch-out of centre line of rail on plan4 ,set up one tread and risers above and below1 with the risers in the springing4 ,draw the centre falling line1 resting on the corners and passing through the centre1 at the height of half a riser above the landing4 ,to develop tangents1 make ,c ,s ,r ,fig4 #b1 equal ,c ,b ,a1 ,fig4 #a1 and complete tangents as shown4 ,to draw the horizontal trace at ,fig4 #a1 make ,a ,b ,f1 ,fig4 #a1 equal ,r ,s ,f1 ,fig4 #b4 ,join ,f ,c for the required trace4 ,draw ,n ,o square to it4 ,fig4 #c shows the face mould4 ,make ,a ,b ,f equal ,a ,b ,f and ,b ,c equal ,b ,c1 ,fig4 #b1 and ,f ,c equal ,f ,c1 ,fig4 #a4 ,make ,c ,p equal ,c ,n1 ,fig4 #a4 ,draw the major axis from ,n square to ,n ,c ,f4 ,draw from ,a parallel to ,f ,c ,p to cut major axis in #g4 ,now if the drawing is correct ,a #g will equal ,a ,r1 ,fig4 #a4 ,with ,p as centre and ,n ,r1 ,fig4 #a1 as radius1 strike an arc at ,s2 again1 with #g as centre and ,a ,r1 ,fig4 #b1 as radius1 strike an arc to intersect the first one in ,s4 ,join #g ,s and ,p ,s extended1 and ,p ,n equal ,o ,n1 ,fig4 #a4 ,draw from ,n parallel to #g ,s to cut the major axis in ,o1 then ,o will be the centre4 ,fig4 #d shows the sections and bevels4 ,make ,n ,n equal radius of centre line of rail1 ,fig4 #a1 with ,o as centre1 and for radius just touching each tangent1 which distances transfer to ,fig4 #d4 ,all the sections in this case will be in the centre of the plank4 ,fig4 #e shows the face mould for the other side of the plank4 ,fig4 #f shows the application of the face moulds to the stuff4 ,both joints are square to tangents and face of plank in this case4 ,illustration3 ,,plate #be4 ,,plate ,,xxv4 ,,quarter-,,space ,,landing1 ,,wreath ,,in ,,one ,,piece1 ,,to ,,form ,,its ,,own ,,easing ,,into ,,the ,,straight ,,rail4 ,fig4 #a shows the plan laid down exactly the same as in ,plate ,,xxiii4 ,fig4 #b shows the elevation4 ,make ,y ,y equal the stretch-out of centre line of rail1 ,fig4 #a1 and set up one step above and below as shown4 ,draw the centre falling line resting on the corners and passing through the centre at the height of half a riser above the landing4 ,for development of tangents1 make #a1 #b1 #c equal ,a ,b ,c1 ,fig4 #a4 ,square out a level line from the lower joint ,h1 and make ,h ,r equal the distance between the line #a and the springing2 join ,r ,n2 then ,a ,b ,c will be the tangents of face mould4 ,from ,r draw the joint line square to the straight rail1 and ,r ,p square to the tangents4 ,fig4 #c shows the face mould4 ,make ,r ,a ,b ,s equal ,r ,a ,b ,c1 ,fig4 #b1 and ,s ,c equal the diagonal on plan1 and ,b ,c equal ,b ,c1 ,fig4 #b4 ,draw ,c ,o and ,a ,o parallel to ,a ,b and ,b ,c1 make ,c ,n equal ,c ,n1 ,fig4 #b4 ,the bevel ,a and ,c will be the same1 as both pitches are the same4 ,fig4 #d shows the sections at the two joints1 and the section on the minor axis will be in the centre of the plank4 ,but section ,a will be above1 and that at ,c below the centre4 ,the distance between ,c and the falling line is what the section at ,c will be below1 and ,a above the centre4 ,it will be seen one corner of the rail is cut off at these sections2 this makes no difference so long as the moulding of the rail will work it out4 ,fig4 #e shows the bevels for the joints to be worked off to1 so as to make them joint to the straight rail4 ,draw ,p ,p to the same pitch as ,o ,o1 ,fig4 #d2 draw ,c ,h square to ,p ,p2 make ,c ,n equal #d #d1 ,fig4 #d4 ,at ,fig4 #b mark along ,r ,p1 ,r ,s to equal #d #d1 ,fig4 #d2 make ,c ,s and ,c ,s equal ,s ,s1 ,fig4 #b1 and draw ,s ,e for the bevel ,t to be applied across the end of shank and along the tangent4 ,join ,s ,d for the bevel ,s1 to be applied through the end of shank and along the surface of the stuff2 this bevel must be held parallel to the tangent across the joint1 that is1 square through the plank4 ,notice that in all these bevel joints if the tangent is steeper than the straight rail1 the bevel ,t is applied so that the ends of shank diminish towards the inside1 while if the tangent is flatter1 the end of shank will diminish towards the outside4 ,this will be understood by referring to ,fig4 #c in this plate1 and ,fig4 #e1 ,plate ,,xxi4 ,fig4 #f shows the face mould for the under side2 the shaded part ,n ,s shows the extra length required2 this will equal ,s ,s1 ,fig4 #b1 the other end ,r ,s will be the same amount shorter4 ,this mould is reverse to ,fig4 #c4 ,fig4 #g shows the wreath cut out square through the plank1 before the moulds are put on4 ,the application of the bevels is seen here4 ,illustration3 ,,plate #bf4 ,,plate ,,xxvi4 ,,winders ,,in ,,the ,,quarter-,,space1 ,,wreath ,,in ,,one ,,piece1 ,,to ,,form ,,its ,,own ,,easing ,,into ,,straight ,,rail4 ,fig4 #a shows plan with face of risers laid1 and centre line of rail enclosed with tangents ,a ,b ,c4 ,fig4 #b shows the development4 ,make ,y ,y equal stretch-out of centre of rail1 ,fig4 #a4 ,set up treads and risers1 placing the risers as they occur on the centre line of rail1 ,fig4 #a2 draw the centre falling line as shown4 ,to development tangents make #a #b ,c equal ,a ,b ,c1 ,fig4 #a4 ,continue the tangent ,c ,b in a line with straight rail2 make ,h ,r equal the distance between the line #a and springing2 join ,r ,b extended to cut the level line in ,f4 ,draw the joint line square to the straight rail1 and ,r ,p square to the tangent2 mark off along ,r ,p1 ,r ,s to equal half thickness of plank4 ,fig4 #c shows the face mould for the top side of the plank4 ,make ,r ,a ,b ,f and ,b ,c equal corresponding letters1 ,fig4 #b1 and ,f ,c equal ,f ,c1 ,fig4 #a2 draw ,c ,o and ,a ,o parallel to ,a ,b and ,b ,c2 draw the major axis ,o ,m square to ,f ,c through the centre1 with ,m as centre and ,m ,o1 ,fig4 #a1 as radius strike an arc at ,p2 draw ,v ,l through the centre and tangent to the arc4 ,make ,m ,h equal ,m ,h1 ,fig4 #a2 draw ,y ,j parallel to ,v ,l2 make ,y ,e equal ,h ,e1 ,fig4 #a4 ,draw ,y ,j parallel to ,m ,p1 and ,j ,k square to major axis2 join ,k ,e for section line2 draw the short tangent from ,e square to ,k ,e4 ,fig4 #d shows bevels1 width of mould1 thickness of plank4 ,get the levels by taking ,o1 ,fig4 #c1 as centre1 and for radius open out to touch each tangent2 transfer these distances to ,fig4 #d for each bevel as shown1 and complete the sections as usual2 the section at each joint will be in the centre1 but each of the others will be below4 ,make ,c ,e ,d1 ,fig4 #b1 equal ,c ,e ,d1 ,fig4 #a4 ,make ,e ,e and ,d ,d equal ,p ,j and ,p ,o1 ,fig4 #c4 ,then the difference between ,k ,d ,e and ,c and the falling line1 is what each section will be out of the centre of plank4 ,fig4 #e shows the bevels for the bevelled joint at ,r4 ,draw ,p ,p to the same bevel as the bevel for the shank1 marked ,o ,o1 ,fig4 #d2 draw ,c ,h square to ,p ,p4 ,make ,c ,n equal #a #a1 ,fig4 #d1 make ,c ,s and ,c ,s equal ,s ,s1 ,fig4 #b1 and join ,s ,e and ,s ,p for bevels ,t and ,s4 ,cut the wreath out square through the plank as usual1 except at this joint1 which is worked across the top and bottom to the bevel ,t1 the bevel ,s being for the sides4 ,if the joint is worked true to these bevels1 it will joint correctly to the straight rail4 ,s ,s1 ,fig4 #b1 is what the face mould will require to be longer for the under side2 this is shown by the shaded part on end of shank1 ,fig4 #f1 while ,r ,s on the shank of the top face mould1 ,fig4 #c1 shows the same amount shorter4 ,it is presumed that the method of squaring the wreath is fully understood1 and needs no further explaining here1 as it can only be a repetition of what was described in the first few plates4 ,illustration3 ,,plate #bg4 ,,plate ,,xxvii4 ,,landing ,,in ,,an ,,obtuse ,,angle1 ,,the ,,wreath ,,to ,,form ,,its ,,own ,,easing ,,into ,,the ,,straight ,,rail4 ,fig4 #a is the plan with the risers placed in the springing1 and the rail drawn with a radius so as to make the inside falling line nearly a straight line4 ,draw the centre line of rail to the angle1 and bisect it from ,b4 ,set off on each side half a tread marked #b #b and #c #c4 ,now draw the inside of rail to cut these two lines in #d and #e2 draw through #d and #e square to the centre line of rail to meet in ,o1 then ,o will be the centre and ,a ,o the radius4 ,complete the plan as shown4 ,the elevation is shown at ,fig4 #b4 ,make ,s ,s equal the centre line of rail1 ,fig4 #a1 from ,a to ,c4 ,set up one step above and below and draw the falling line4 ,to develop tangents1 make #a #b ,c equal ,a ,b ,c1 ,fig4 #a4 ,make the joints at ,n and ,h4 ,make ,h ,r equal the distance between the line #a and the springing4 ,join ,r ,n for development of tangents4 ,draw the joint line square to the straight rail1 and ,r ,p square to the tangents4 ,mark off along ,r ,p1 ,r ,s to equal #a #a or #d #d1 ,fig4 #d4 ,make ,b ,f1 ,fig4 #a1 equal #b ,c1 ,fig4 #b1 and join ,f ,c4 ,fig4 #c is the face mould4 ,make ,r ,a ,b ,f equal ,r ,a ,b ,c1 ,fig4 #b1 and ,b ,c equal ,b ,c1 ,fig4 #b1 and ,f ,c equal ,f ,c1 ,fig4 #a4 ,draw the minor axis from ,b parallel to ,f ,c1 and make ,b ,o equal ,b ,o1 ,fig4 #a4 ,draw the major axis square to it4 ,the sections are seen at ,fig4 #d4 ,make ,r ,r equal radius of centre line of rail on plan2 make ,o ,o equal ,o ,o1 ,fig4 #c1 and complete sections as usual4 ,the difference between ,c and the falling line at ,fig4 #b is what the section at ,c will be below the centre1 and that at ,a above2 the sections at the joints and at the minor axis will be in the centre of plank4 ,fig4 #e shows the face mould for the under side of the plank4 ,fig4 #f shows the wreath worked inside and out ready for squaring4 ,fig4 #g shows the bevels for the bevelled joints on both ends of wreath4 ,they will be applied the same as in ,plate ,,xxv4 ,illustration3 ,,plate #bh4 ,,plate ,,xxviii4 ,,half ,,twist ,,starting ,,from ,a ,,scroll1 ,,and ,a ,,side ,,wreath ,,starting ,,from ,a ,,newel4 ,fig4 #a shows the plan of a stair starting with a scroll4 ,make ,d ,e equal about #d times the width of rail1 which divide into #i equal parts2 make ,d ,i equal #e of these parts2 this will be the radius for the largest quadrant of the rail4 ,to find the radius for each of the remaining quadrants1 make ,d #a1 ,fig4 #e1 equal ,d #a1 ,fig4 #a2 make #a #b equal one of the #i parts1 with ,d as centre and ,d #a as radius2 strike an arc from #b2 square up a line to cut the arc in ,a2 join ,a ,d with ,d as centre and ,d #b as radius2 strike an arc to cut ,a ,d in ,b2 from ,b draw ,b #c square to ,d #a4 ,continue the process as far as required to complete the scroll1 ,d #b will strike the second quadrant and ,d #c the third1 and so on4 ,the face mould is seen at ,fig4 #c4 ,draw ,c ,b ,a at right angles and make ,c ,b equal ,c ,b1 ,fig4 #b1 and ,a ,b equal ,a ,b1 ,fig4 #a4 ,make ,a ,r equal radius of centre line of rail ,c #a1 ,fig4 #a1 and complete the mould as usual4 ,the scroll itself will only require to be the thickness of the rail1 as it is level4 ,all the sections in the wreath will be in the centre of the plank4 ,fig4 #f shows the plan1 and ,fig4 #g the elevation of a side wreath starting from a newel4 ,make ,a ,p1 ,fig4 #h1 equal the radius of centre line of rail1 ,fig4 #f1 and draw ,v ,l through ,p square to ,a ,p4 ,make ,a ,e equal ,a ,e1 ,fig4 #f1 draw ,e #h square to ,a ,e1 and make ,e #h equal ,b ,d1 ,fig4 #g4 ,join ,a #h extended to cut ,v ,l in ,o2 then ,o will be the centre and ,a ,o the major axis4 ,make ,a ,b and #h ,c equal ,a ,b and ,e ,c1 ,fig4 #f4 ,join ,c ,b1 which is the tangent1 and if the drawing is correct1 this will equal ,c ,b1 ,fig4 #g4 ,the tangent ,a ,b being level is of course the same length as on plan4 ,all the sections will be in the centre of the plank2 these are seen at ,fig4 #i4 ,the short shank ,a ,n is to let into the newel2 ,a being the face of newel4 ,illustration3 ,,plate #bi4 ,,plate ,,xxix4 ,,winders ,,starting ,,from ,a ,,curtail ,,step4 ,fig4 #a shows the plan of a scroll1 and wreath to stand over the curtail step and winders4 ,divide ,n ,n into #i equal parts4 ,make ,n #a equal #e of these parts and draw the largest quadrant4 ,to draw the remainder make ,n #a1 ,fig4 #g1 equal ,n #a1 ,fig4 #a2 with ,n as centre and ,n #a as radius1 strike the arc4 ,make #a #b equal #a of the #i parts2 from #b erect a perpendicular to cut the arc in #g4 ,join #g ,n4 ,now with ,n as centre and ,n #b as radius1 strike the second arc to cut ,n #g in #h2 draw #h #c parallel to #g #b4 ,again1 with ,n as centre and ,n #c as radius1 strike the arc to cut ,n #g in #i2 draw #i #d parallel to #h #c4 ,this process can be continued as far as required4 ,n #a will strike the largest quadrant1 ,n #b the next1 and ,n #c the next1 and so on until the scroll is completed4 ,the centre and inside lines of rail will be struck from the same centres4 ,make the joint at ,a1 and draw the radius line from #b1 which is the centre of this part of the scroll2 draw the tangent ,a ,b square to it4 ,fig4 #b shows the elevation4 ,set up the treads and risers as they occur on the centre line of rail1 ,fig4 #a1 and draw the centre falling line so that it will finish level1 about on the line ,n ,n1 and at a height of about #a or #b inches above the top of the first step4 ,make #c #g equal the stretch-out of the centre line of rail1 ,fig4 #a from ,a to ,c4 ,draw the level line through the falling line at #g1 and make #c #h and #h ,a equal ,c ,b and ,b ,a1 ,fig4 #a1 and complete the development of tangents as shown4 ,draw the joint at #g square to the tangent ,a ,b4 ,the scroll must be the distance ,s ,s thicker than the thickness of rail1 and the joint worked to the bevel as shown4 ,fig4 #c is the face mould for the top side of the plank4 ,make ,b ,f1 ,fig4 #a1 equal #h ,f1 ,fig4 #b1 and at ,fig4 #c make ,c ,b ,f equal ,c ,b ,f and ,b ,a equal ,b ,a1 ,fig4 #b1 and ,f ,a equal ,f ,a1 ,fig4 #a4 ,draw ,c #aa and ,a #e parallel to the horizontal trace ,f ,a1 and make ,a #e and ,c #aa equal ,a #e and ,c #g1 ,fig4 #a1 and draw the major axis through #e and #aa4 ,with #e as centre and #e #g1 ,fig4 #a1 as radius1 strike an arc at #g2 draw a line through #aa and tangent to the arc4 ,now1 if the drawing is correct1 #g #aa will equal the height #c ,c1 ,fig4 #b4 ,make #e #d #c #a #f #g equal corresponding figures1 ,fig4 #a1 and complete the mould as usual4 ,notice ,o will be the centre for sections ,d ,e ,r and ,c1 and ,s ,s1 ,fig4 #d1 will equal the radius #a ,d1 ,fig4 #a4 ,but for the section at the joint ,a1 #b will be the centre and ,s ,s1 ,fig4 #e1 will equal the radius #b ,a1 ,fig4 #a4 ,the bevels1 c41 are got as usual4 ,make #c #d #e #f #g1 ,fig4 #b1 equal ,c ,r ,e ,d ,a1 ,fig4 #a4 ,make #d #d and #e #e and #f #f1 ,fig4 #b1 equal #a ,s and #a ,o and #a ,w1 ,fig4 #c4 ,now1 the difference between #d #e and #f and the falling line is what each section is out of the centre of plank4 ,fig4 #f is the face mould for the under side of the plank4 ,illustration3 ,,plate #cj4 ,,plate ,,xxx4 ,,winders ,,in ,,the ,,quarter-,,space1 ,,starting ,,from ,a ,,newel4 ,fig4 #a shows the plan4 ,there will be one baluster on the bottom step1 and the remainder placed as shown4 ,in planning stairs of this kind care must be taken not to let the newel obstruct the passage4 ,no fixed rule can be laid down for the position of the newel2 circumstances alone must regulate that2 but the further the newel is brought round the more graceful will be the falling line of rail4 ,fig4 #b is the elevation4 ,make ,c ,a equal the stretch-out of centre line of rail from ,c to ,a1 ,fig4 #a1 and ,c ,d equal ,c ,b1 ,fig4 #a4 ,let ,b be #ab inches above the floor line2 now draw the centre falling line from the joint at ,r at the top1 and to strike the face of the newel level at the height of ,b1 as shown by the dotted lines4 ,join ,r ,b for pitch of tangent ,b ,c4 ,the tangent ,a ,b will be level1 therefore the same length as on plan4 ,draw the joint at ,r square to the straight rail1 and ,r ,p square to the tangent4 ,mark off along ,r ,p1 ,r ,s to equal #e #e1 ,fig4 #d4 ,fig4 #c is the face mould for the top side of the plank4 ,draw the lines ,a ,e and ,n ,e at right angles1 and make ,a ,e equal ,a ,e1 ,fig4 #a1 and ,n ,e equal ,b ,d1 ,fig4 #b2 join ,a ,n1 which is the major axis2 make ,c ,r equal ,c ,r above the springing at ,fig4 #b2 add ,s ,s1 ,fig4 #b1 on to the end of shank1 as shown by shaded part4 ,the completion of the face mould will be understood4 ,fig4 #d shows the sections4 ,it will be noticed that the sections ,s and ,r are above the centre of plank4 ,make ,f ,s ,r1 ,fig4 #b1 equal ,a ,s ,r on the centre line of rail1 ,fig4 #a1 and make ,s ,s and ,r ,r below the falling at ,fig4 #b equal ,r ,f and ,r ,o1 ,fig4 #c4 ,the difference between ,s and the falling line is what the section at ,s is above the centre of plank1 while that between ,r and the falling line is what the section at ,r on the minor axis is above the centre of plank4 ,fig4 #e shows the bevels for the bevelled joint at ,r4 ,draw ,h ,h to the same pitch as the bevel for the section ,c and draw ,c ,e square to ,h ,h and ,c ,n vertical2 draw ,e ,d level through ,n2 make ,c ,s and ,c ,s equal ,s ,s1 ,fig4 #b1 and join ,s ,d and ,s ,e for bevels ,t and ,s4 ,to cut out the wreath1 lay the face mould on the stuff1 transfer the tangents on to it1 mark off on each side of the tangent at ,a ,a #a1 and on each side of the tangent at ,c ,c ,n1 and on each side of ,r on the minor axis1 of an inch more than half width of rail1 marked ,p ,p1 ,fig4 #d4 ,trace around through ,i ,p ,n inside and outside4 ,cut the wreath out square through the plank4 ,before bevelling the wreath1 work the joint to the bevels ,t and ,s4 ,the bevel ,t to be applied across the top and bottom1 while the bevel ,s will be applied on the sides4 ,s ,s is the extra length of stuff required on end of shank1 as shown by shaded part on end of face mould4 ,to get out the face mould for the under side1 lay ,fig4 #c on a thin piece of stuff and transfer the tangents and section lines on to it1 and stick a bradawl through ,a ,s ,r ,c and mark off on each section the width of mould on the opposite side to ,fig4 #c4 ,the shank will be the same amount shorter that ,fig4 #c is longer4 ,illustration3 ,,plate #ca4 ,,plate ,,xxxi4 ,,the ,,plan ,,of ,,rail ,,forming ,,part ,,of ,,an ,,ellipse1 ,,starting ,,from ,a ,,newel ,,over ,,winders4 ,fig4 #a shows the plan of rail with the risers in position4 ,the line ,o ,c is the minor axis1 and ,o ,d the major axis of the ellipse on plan2 and as the tangent ,a ,b is level1 it is of course the ,h ,t4 ,from the foci ,p ,p draw to ,a1 and bisect the angle1 as shown by ,a ,y2 this will be the face of the newel on plan4 ,draw the tangent ,a ,b square to it4 ,draw ,f ,s through the centre ,o ,v square to ,a ,b4 ,draw ,o ,e parallel to ,a ,b2 this line will be the minor axis on the face mould4 ,fig4 #b shows the elevation4 ,a ,s will equal the stretch-out of the centre line of rail from ,a to ,c1 ,fig4 #a2 and ,s ,b will equal ,c ,b1 ,fig4 #a4 ,draw the falling line as shown so as to strike the face of newel level1 at a height of #ab inches above the floor4 ,square out ,a ,b from ,a and join ,b ,r for pitch of tangent4 ,draw the joint line square to the straight rail and ,r ,p square to the tangent4 ,fig4 #c shows the face mould for the under side4 ,draw ,f ,s and ,s ,p at right angles1 and make ,f ,s equal ,f ,s1 ,fig4 #a2 and ,s ,p equal the height ,s ,c1 ,fig4 #b4 ,join ,f ,p for the major axis of face mould4 ,make ,f ,r equal ,f ,o1 ,fig4 #a4 ,draw ,r ,o parallel to ,s ,p4 ,draw ,o ,e square to the major axis ,f ,p2 then ,o ,e is the minor axis1 and ,o ,r is the same line as is marked ,v ,l in previous plates4 ,make ,o #e ,e #f equal ,o #e ,e #f1 ,fig4 #a4 ,make ,f ,n equal ,f ,n1 ,fig4 #a1 and draw ,n ,y parallel to ,r ,o1 and ,y ,d square to major axis4 ,make ,y ,d equal ,n ,d1 ,fig4 #a1 and complete the section as usual4 ,also make ,p ,c equal ,s ,c1 and ,f ,a ,b equal ,f ,a ,b1 ,fig4 #a4 ,join ,c ,b extended1 and make ,c ,r equal ,c ,r1 ,fig4 #b4 ,now if the drawing is correct ,c ,b will equal ,c ,b1 ,fig4 #b4 ,fig4 #d shows the bevel and section ,a4 ,make ,a ,b equal ,o ,f1 ,fig4 #a2 and ,b ,c equal ,o ,f1 ,fig4 #c4 ,draw the section of rail1 and draw ,a #b to cut the top corner parallel to ,b ,c4 ,then ,a ,o will be half thickness of plank and ,a #b width of mould here4 ,fig4 #e shows bevel and section ,d4 ,make ,a ,b equal ,o ,d1 ,fig4 #a4 ,with ,o as centre for radius1 open out the compasses to touch the tangent from ,d2 transfer this distance to ,fig4 #e1 as shown by ,b ,c4 ,now make ,a ,d ,e ,s1 ,fig4 #b1 equal ,a ,d ,e ,s on the centre line of rail1 ,fig4 #a4 ,make ,d ,n and ,e ,h1 ,fig4 #b1 equal ,n ,y and ,r ,o1 ,fig4 #c4 ,the difference between ,n and the falling line shows that the latter is nearly in the centre of plank at the section ,d4 ,make ,d #c and ,d #d1 ,fig4 #c1 equal ,d #c and ,d #d at the section4 ,fig4 #f shows the section on the minor axis1 which of course requires no bevel4 ,the difference between #d and the falling line at ,fig4 #b shows what this section is out of the centre of the plank4 ,fig4 #g shows bevel and section ,c4 ,make ,a ,b equal ,o ,c1 ,fig4 #a1 and with ,o as centre1 and for radius a distance to just touch the tangent1 ,c ,b1 ,fig4 #c4 ,transfer this to ,fig4 #g as shown by ,b ,d1 and complete the section as usual4 ,fig4 #h shows the bevels for the bevelled joint at ,r4 ,the method of getting them and their application will be understood4 ,fig4 #i shows the face mould for the top side4 ,the difference between this mould and ,fig4 #c is that ,a #b and ,d #d and ,c #g is on the inside of ,a ,d and ,c1 instead of the outside1 as at ,fig4 #c4 ,in sawing around on the inside1 leave the stuff full on the section ,d1 and gauge to a width after the moulds have been removed4 ,illustration3 ,,plate #cb4 ,,plate ,,xxxii4 ,,showing ,,the ,,moulding ,,of ,,rails1 ,,and ,a ,,method ,,of ,,proportionately ,,increasing ,,or ,,decreasing ,,the ,,size ,,of ,,them4 ,figs4 #a and #b show pattern of rails full size1 both of which look well when finished1 and nice to handle4 ,the shaded parts at ,fig4 #a show how the rail should be worked out before it is moulded4 ,it will be seen that ,fig4 #a has three dowels1 while ,fig4 #b has two4 ,at ,fig4 #b is seen a method by which a rail may be proportionately increased or decreased to any size4 ,let ,s be the given rail and ,r the required one4 ,make ,a ,b equal the width of ,s1 and ,a ,e the thickness of ,r2 from ,e draw square to ,a ,b1 and make ,e ,f equal the thickness of ,s2 join ,a ,b4 ,from ,a square out a line and make ,a ,d equal the width of the required rail ,r4 ,from ,b and ,d square out lines to meet in ,c2 join ,a ,c4 ,from each member in ,s draw ordinates to cut ,a ,c and ,a ,f1 and where these meet again in ,r will be the same member in the required rail4 ,fig4 #c shows a handrail screw1 ,a being a round nut1 a section of which is seen at ,fig4 #d1 and ,b a square one2 ,w is a round washer4 ,these screws are let into about the centre of the section of rail at the joints4 ,a hole is cut in the under side of each piece for the nuts to go in1 and a small bent chisel1 made for the purpose1 is used to turn the nut ,a4 ,,london3 ,,printed ,,by ,,william ,,clowes ,,and ,,sons1 ,,limited1 ,,stamford ,,street ,,and ,,charing ,,cross4 ,transcriber's ,notes ,punctuation and spelling were made consistent when a predominant preference was found in this book2 otherwise they were not changed4 ,simple typographical errors were corrected2 occasional unbalanced quotation marks retained4 ,ambiguous hyphens at the ends of lines were retained2 occurrences of inconsistent hyphenation have not been changed4 ,each 8,figure0 reference is to a portion of the ,plate illustration immediately preceding the text4 ,the captions of all illustrations included this credit line3 ,thos4 ,kell ,son1 ,lith4 which have been omitted in this e,book4 ,the right-side edges of several illustrations were missing or illegible4 ,page #dc3 ,two occurrences of 8sime0 were changed to 8semi-0 to conform with the rest of the book4