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 65
EXERCISES 1. Prove that ZRSW is a square. 2. n ^5 = a and .4^ = ^, show that XY = —. n n 3. Find the ratio oi XY to ZW under the conditions of Ex. 2. 1 Ans. 2n-l Suggestion.—Solve for n in the equation (2n-l)2 5 Ans. n = J± jV5. 5. Find the value of u in Ex. 2 ii XY^ = —-. Ans. n = —;- 6. Show that… … Fig. 51. Fig. 5la. — Pompeian Mosaic. Zahn (2), Vol. II, PI. 96; Day, pp. 47, 48 62. In Fig. 51 ABCD is a square with its diagonals and diameters. A£=BF= CG = DH. GK and EL are perpendicular to MN and lines from H and Fperpendicular to the second diameter. ■ n^ _ 2 » + 2 EXERCISES 1. Prove that…
Geometry · Decoration and ornament
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