File:Perspective and geometrical drawing adapted to the use of candidates for second and third-class teachers' certificates (1887) (14779999231).jpg

Identifier: perspectivegeome01mcgu (find matches)
Title: Perspective and geometrical drawing adapted to the use of candidates for second and third-class teachers' certificates
Year: 1887 (1880s)
Authors: McGuirl, Thomas H. (from old catalog)
Subjects: Geometrical drawing Perspective
Publisher: Toronto, W. Briggs
Contributing Library: The Library of Congress
Digitizing Sponsor: The Library of Congress

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Fig. 29. We proceed as follows :—After drawing H.L. and B.L. andfinding positions of O, MP and C. Y., take A 4 to right of S;at A erect perpendicular AC = 4, and measure off AE = P andDE = 2. Produce CA to B, making AB = AC and FX = DE;make FG = FX and GH = GA; join HKMP, GLMP, A C. Y., THE HEXAGON. 51 jD C.Y., E C.Y. and C C.Y. At K, L erect perpendiculars tomeet vanishing lines in N and M; join MR, MD, LE andLP : then RMDELPR will be hexagon required. For AK =AH and AL = AG = FX ^ 2, and DE = RP and ML = ISTK =CA. Then RM = MD - DE = 2, etc. (Fig. 29.) Example ^.—Draw a hexagon, 2 side, lying on ground,near side parallel with P.P. and 2 within it; hexagon to bedirectly in front. H = 6, L.D. = 4^ scale \; = T.
Text Appearing After Image:
52 DRAWING. Draw H.L., B,L., and find O C.V. and MP as before.Make SY and ST each = 1, and make TX and YA each = T;make Ar = 2^, and draw it _)_ to AX; draw XP, TY, YZparallel to AF. Make RG^RL or TY, and GZ also = RL,and complete the oblong MH. Make Aa = AF, Ab = AG andAE = AH; join EMP, hMV, aMP, and A C.Y., Y C.Y.,T C.Y. and X C.Y. Through intersecting points D, C, B, drawparallels to AX, meeting X C.Y. in e, /, g, respectively; joincf, /k, dC and Cm, completing the hexagon : then AB = Aa =T, and BC = CD = a6 = 6E = GH, and hence Cm = GZ and dC= YG = 2^, etc. (Fig. 30.) Exercise YII. In these examples take PI = 6, L.D. = 4, and scale ;; = 1;but a scale of ^^ = V may be used if thought more convenient. 1. Draw a hexagon, side 2, lying on ground plane, one sideperpendicular to P.P., and an angle touching it at a point 4to right. 2. Draw a hexagon, side 3, standing on edge, _J_ to groundplane and P.P., and having an angle touch the P.P. 3^ to left. 3. Draw a hexagon, side 2, standing

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