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 158
EFGH are congruent. 6. Prove that if GE is drawn A GEO is equilateral. 7. If the radius of one of the circles is r, find the length of GH. Ans. -y/2.2 8. If the radius of one circle is /•, find the area of (1) the star;(2) the figure CDEFGH. Am. (1) ?|^(V3-1); (2) J(V3 + 3). DESIGNS BASED ON… … E Fig. 127.—Arabic All-over. Bourgoin (I), PI. 42. EXERCISES 157. 1. Construct the pattern shown in Fig. 127. Suggestion. — Construct an all-over pattern of squares. In eachsquare inscribe a circle. In each circle construct the f star, so thatevery second vertex will coincide with the middle points…
Geometry · Decoration and ornament
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