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 233
O- THE CIRCLE INSCRIBED IN THE GOTHIC ARCH. 240. Occurrence.—The diagrams given in Figs. 198and 199 have been universally used since the MiddleAges. Almost every tovirn can furnish one or moreexamples. A good illustration from St. Louis is given inFig. 138a and one from Boston in Fig. 1906. 220… … 1. Prove that (1) AD = BD; (2) the sets of points C,0, D; B, 0,L\ A, 0, M are collinear. Suggestion. — Use the theorems (1) If two equal circles intersect,any point in the common chord may be the center of a circle tangentto the given circles ; and (2) If two circles are tangent, the line ofcenters…
Geometry · Decoration and ornament
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