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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

(1756)

Chap. 1. Of the manner of proportioning the five orders of columns in architecture, pp. [3]-16

Page 9

Of tieIONICK ORDrER~ each Side the central Line which terminates the O~olo A, in Plate V. Alfo fet 40 Minutes on each Side for the Proje&ion of the Fillet B; 38 for the Proje&ion of the Caveto C, and 3~ for the Ovolo IE. The Proje&ion of the Fillet G, is its own Height and two thirds thereof, over which the Aftragal proje&s half its own Height. The next Thing in order to complete this Capital, is to defiribe its Volutes as following. P R 0 B. X. To de/cribe the lonick Volute, Plate VII. (i.) Divide aX, a given Height of a Capital, 4nto 3 Parts, and the upper i Part in 2 Parts at c, and proceed to complete all the Members as taught in the laft Problem. ('z.) On p the Cen- ter of the Aifragal defcribe the Circle r ox q for the Eye of the Volute, through whofe Center p, draw the perpendicular Line n a p q 4, alfo the horizontal Line rp s, at right Angles thereto; ~nd complete the Geometrical Squares r o x whofe Sides divide each into two equal Parts at the Points 2~ I, 3, 4, and draw the Diameters 2, ~.; and. 1, 3. (s.) Divide each Semidiameter into 3 equal Parts, at the Points 6, ~ 5, 9; 11, 7; and 12, 8; then the Points i 2 3 4567 89 10 II 12, are 12 Centers on which the Out-line of the Volute is defcribed; for the Point x is the Center of the Arch n b; the Point 2, of the Arch b e:; the Point 3, of the Arch eg; the Point 4, of the Arch gh; the Point ~, of the Arch hk, &c. (4.) Divide W Z in 4 Parts; the upper i equal to n a, is the Breadth of the Lifl; which divide in 12 Parts, of which make bc equal to II; ed equal to 10; gf equal to 9; hi equal to 8; k I equal to 7, &c. fill diminiflaing at every Quarter. This done, divide the Diftance between every two Centers, as between 2 and 6; i and ~, &c. into ~ Parts, and the i 2 outermolt ones will be the 72 Centers, on which the inward Line of the Lif~ may be defcribed, which from the Point a will pafs through tl~e Points c df i 1, &c. and complete the Volute as required. - To make the lonick VoJ.ute well ~n~lerfl:ood, I have given the Plan of a Quarter Part of its apital, I~ig. III. Plate V[II. wheTein obferve; that as the Volutes~ are placed anglewife, or rather diagonally; therefore when we ifand diredly be- fore a Column, though they are really circular, as. in Plate VII. yet they will appear elliptical; ~s~h~ving tl~eir Breadtlis forelhortezi'd by being 9 feen in an oblique View; and therefore when we make a Drawing of this Capital, the Volutesmu& be made elliptical, as in Fig~ II. Plate VIII. -. P R 0 B. XI. To divide the Flutes and FiLlet of a round or fquare lonick Column, Fig. III. Plate VIII. Firif, Of a round Column, as the Quarter Part M K I; divide the Circumference of the Pillar into 24 equal Parts, and each Part into 8 Parts; with the Radius of ~ of thofe 8 Parts, on every of the 24 Parts, defcribe the Flutes,' as before done in the Dorick Order. Secondly, Of a fquare Cohemn, as the Q~arter Part K A L; divide each Semidiameter, or. each Side of the Column, into 31 Parts, give 6 to each Flute, 2 to each Fillet and Bead at the Angles, when the Semidiameters are divided into 31 Parts; and 3 to each Flute, and i to each Fillet, and Bead, at the Angles, when a Side of the Column is divided into the fame Number of Parts. On the Right Hand, at the lower Angle of Plate VIII. I have defcribed the Bead A at large, by which the young Student may fee that 'tis rio more, than three fourths of a Circle infcribed in a geo- metrical Square. As the Ovolo of this Capital is generally enriched with Eggs and Darts, commonly called Anchors, I fhall therefore ihew at large the Man- ner of defcribing them. P R 0 B. XII. To defcribe Eggs and Darts for th~ Enrichment of an Ovolo, Fig. I. Plate VIII. Firif, To proportion their Dglances. Divide the Height into 9 Parts, and at ~he Diftance of 7 of thofe Parts, draw the central Lines of the Eggs and Darts. Secondly, To defcrike an Egg, as Fig. B. The Height of the central Line being divided in 9 Parts, with a Radius equal to 3 Parts, on the Point 6, the third Part from the Top, defcribe a Semicircle. On the Point 3, the third Poi~it from the Bottom, with a Radius of. 2 Parts, defcribe an entire Circle. Draw down the L~ines 4 a, 4 a, each equal to 3 Parts, anJ thyough the Point 3, draw the Lines 4 anda c. On the Points a a, with the Radius a b, defcribe the Side Curves, which ~wil~ complete the E~g~ as required. 'Thirdly,

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