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 135
ilar triangles are to each other as the squareson two corresponding sides. 5. If AC = a, find the area of trapezoid ACLK. Ans. —. Suggestion. — Show that the trapezoid is \ ^ AOC and hence \ ofsquare AC EG. 6. If .4C = a and P5= :^, find the area of AJBXCLQRSK. Ans. -^—(14 «2 - 8 n^\/2 + ir).16 n^… … Fig. Ilia,— Unoteum Design. EXERCISES 136. 1. In Fig. Ill ABCD is a square with diameters EG andHF. Show how to construct the arc MLK so that KE = \ AE andZ KXM is 90°. 2. If AB = a, find the areas of (1) segment MLK, and (2) thefigure AKLMBP etc., if Z KXM is 90° and MKE = \ AE. Am. (1) -^(2 +…
Geometry · Decoration and ornament
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