Langley, Batty, 1696-1751 / The city and country builder's and workman's treasury of designs, or, The art of drawing and working the ornamental parts of architecture
Chap. 1. Of the manner of proportioning the five orders of columns in architecture, pp. -16
~f the TtYSCAN 4 PRO B. IV. ro deiermiw the Pr~je~ioiz~ of :ke Dade, Ba/i, and Cwe ~f the TU(CSLi i'ad$EJ, Fig. it. Plate L (i.) DivideQN eqothgh~ofthe Bafe in ~ Parts, and the upjer i * ~Nm~ Make z 0 the Proje&ion of the Dds, u~aial to 4Partsand+. (2.) The Prc~je&ion~(die Plinth (qp) is equal to (r f) the Height of the Mouldings on the Plinth, as a1h is the Projeaioa of the Cornice, from the Upright of the Dado, in every Order. Draw xy at Pleafure, at any and againft the Dado, which divide in 6 Parts, terminate the Members in the Bafe and Cot- nice, as is expreffed by the dotted Lines proceed- ing upward and downward from them. Fig. G exhibits the Manner of dekribing a Cima reverfa at large, whofe Proje&ion is ~ of its Height. PR OR. V. !Jio proportion the Heights of the prin- cipal Parts of the Tufcan Column, Fig. 1. P1. II. (z.) Divide the given Height in 7 equal Parts, and take i for the Diameter of the Column at ~sBafe; therefore note, that the He tof the 2olumn is 7 Diameters. (2.) The Height of the Bafe, and of the Capital, are each half a Diameter. PROB. VL ~o proportion the Iiev~hts ~f the Members of the Ba/c of the Tufcan Columps. Divide st the Height of the Bafe in 2 Parts, as the Bafe on the Pedeftaj, Fig. II. Plate I. the lower a is the Height of the P1iz~th D, and the upper i of its Torus C, with the Ciw!ture B, which js a fourth Part thereof. PRO B. VII. 2'o proportion the He~hts of the Members of the Tufcan Capital. Divide the Wi he of the Capital MR into 3 as in Fig. II. Pla.te U. give the upper i to its Abacus M 1~ the middle x totheOvolo0 with its Fillet P. which is a fi,ccb Parr, and the lower to Q the Neck of the Capital. The Heiglitof the Aftragal R S is equal to Half the ~-i~jgIit of the Neck, which divide in ~: Give a to the Aliragal R, and ito the ~i1Iet S. N;:e, The Aftr ii in every Orde; is a Part of the Shaft, not oE' the Capital. ORDER. PROB. VIIL Thiim;k4~sfiof:h,TuCc~n, v#~7#!C.4~w. FigJ. Plate U. (L) Divide the giv'ca ~ight of the Shaft be.. tw~n ibp Cin&~re B~ ~t 4~e A(b~a~ 4, ia~to Z~z~4~ Bq, 85, and ,cu, xy, ea~h eq~u4 to tialf a Dswter, ind 4ASW the [a~es ~. n. ~y ~ make ~ ix.ac- cording to what Quantity you have a Mind to diminilh the Shaft Come making the Diminution ~ or ~., as in this Example. (i.) On x defcribe the Semicircle n r, x y, and draw the Lines is r, and c r, from the Points is c, parallel to the cen- tral Line A B. Divide the Arches n r and iy, each into any Number of like equal Parts, ftp.. pofe fou~r, as at o p q, and 2, 3, z, and draw the Ordinates q~, p3, and oz. (s.) Divide Ax into the fame Number of equal Parts, as in n r, or xy, as at 1 h d, and draw the Lines, ef equal to qz, gi equal to p3, and km equal to oz. (hp) From ii, through the Points kge. draw the curved Line n kg e is, and from y, through the Points m if, the curved Line y mif, which com- pletes the Diminution of the Shaft as required. P R 0 B. IX. 7fo determine the Projeflions of the Members in the Bafe of the Tufcan Column, Fig. I. Plate I. (.) Divide the Semidiameter in 3 Parts, and turn i Part out for the Projeaion of the Plintli, which, in every Order, ifands exa&ly over the Dado of the Pedeft~L (2.) The Proje&ioi~ of the Torus is always the fame as of the Plinth. (s.) Divide the Projeaion of the Plinth before the Up right of the Shaft into fo~ir Parts, and the third L'art into 4, then the firif i Part terminates the Pro.je&ion of the Cin6tur~ B. PROD. X. 2~o det~rn4ne the Prt~#e2* ~f 4* Members in tke Tufcan Ceejtal, Fig. ii. Vl~ U. Thvkle the Semidiameter of the Sl~4 e~ip~im~4 to the Abacus into 2 Parts, as at f, and make the Proje&ion of die Abacus, equal to x ~of thofe Parts, when the Abacus is finifbed with a Fillet, and to .~ of x Part, when without a Filler. Th~ ProjeEtion of die Fillet tinder th~ A~sga1 is equal to twice its ewn Height, and the Pllaet under the Ovolo, to it~ JHcig~ht. PRO!.
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