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 94
tc. is a regular octagon. 8. Prove that (a) KX = KY, (h) DX = DY, (c) DYKX is onequarter of a regular octagon. 9. ilAB = a, find the lengths of OL and DK. Ans.(l) ^(2-V^); (2) a(^-l). Suggestion. — Use the theorem: The bisector of an angle of atriangle divides the opposite side into parts… … Fig. 73. —Arabic Lattice Design from Cairo 91. Figure 73 is formed by a repetition of the unit shown in Fig. 72. EXERCISES 1. Prove that (o) EU and BX are parallel; (i) EU, CU, andAB are concurrent; (c) TU = VU = RS = RQ; (rf) PNMLH etc.is a regular octagon. 2. Prove that the area of octagon O is J…
Geometry · Decoration and ornament
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