Perspective and geometrical drawing adapted to the use of candidates for second and third-class teachers' certificates . Let , and be drawn. Take , find O andMP; take AB 4 to E. of Q, make AB = 2^ On AB con-struct equilateral triangle ABH, and produce to Y, Z, makingHZ and HY each equal BH; join AY and YZ, and produceYZ both ways. Through H draw GHW parallel to YZ;through C draw CE parallel to AY; draw also DWF parallelto AY. Join C , A , B and D ; alsoL MP and K MP, cuttin^ C in N and P. ThroughN, P draw NT and PY : parallel to AB; join SP, PA, TYand VB
Perspective and geometrical drawing adapted to the use of candidates for second and third-class teachers' certificates . Let , and be drawn. Take , find O andMP; take AB 4 to E. of Q, make AB = 2^ On AB con-struct equilateral triangle ABH, and produce to Y, Z, makingHZ and HY each equal BH; join AY and YZ, and produceYZ both ways. Through H draw GHW parallel to YZ;through C draw CE parallel to AY; draw also DWF parallelto AY. Join C , A , B and D ; alsoL MP and K MP, cuttin^ C in N and P. ThroughN, P draw NT and PY : parallel to AB; join SP, PA, TYand VB, then STYBAP is the hexagon required. For PC = THE HEXAGON. 49 CK = CG, and NP = LK = GE. Then SP = GY, also PA =AG = GY; similarly, TY = YB = B\y = Y/Z = AB, and QA= 4and AB = 2^ (Fig. 27.)Example 2,—Draw a hexagon same as in Example 1, butI to , and with an angle touching 4 to Fig. 28. Here take E 4 to left, and for plan of the hexagon wemay proceed as follows :—Bisect EQ (4) in Z, also EZ, QZin A, B respectively; with centre A and distance ABdescribe arc BC; similarly, draw arc AD. Draw EC andQD, perpendiculars to AB at E and Q respectively, meetingarcs in C and D; produce EG to F, making CF = perpendicular EN and make it equal EF, and make 50 DRAWING. ES = EC; join N , S and E , also AMP,B MP and Q MP, cutting E in K, L, M. ThroughK, L, M draw paraUels to EN, cutting IST in O, P, R;join OS, SK, LT and TP: then OPTLKS will be hexagonrequired. For ES === EC and EN = EF, also KL - AB and EM= EQ. Then OS = SK = AB; and PT = TL = BD. (Fig. 28.)Example S,—Draw a hexagon, 2 side, resting on _[_to , having one side coincident with it and 4 to = 6, = 4; scale ^ = V.
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Keywords: ., bookcentury1800, booksubjectgeometricald, booksubjectperspective
