A source book of problems for geometry, based upon industrial design and architectural ornament (1912)
Sykes, Mabel, 1868-, Slaught, H. E. (Herbert Ellsworth), 1861-1937, Lennes, N. J. (Nels Johann), 1874- · Boston, Allyn and Bacon · leaf 90
.5); (3) a^(V2 - 1).8 8 iVb^e.—For a different discussion of the design in Fig. 68asee § 31. DESIGNS BASED ON OCTAGONS WITHIN SQUARES 77 86. In Fig. 70 EFGH is thesquare formed by joining the middlepoints of the sides of the squareABCD. PQRS etc. is the regularoctagon inscribed in the squareEFGH.… … A L E B Fig. 70. — Roman Pavement Desgn Morgan p. 204. EXERCISES 1. Construct a complete figure like Fig. 70. 2. Show the relation between Fig. 70 and Figs. 66 and 69. 3. Prove that (a) ALMN is a square; (6) YX, HE, and NLare parallel; {c) AN = AL = LQ.= QE = ER = EX = BK, etc.;(rf) LQYM, YQEX,…
Geometry · Decoration and ornament
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