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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 160

An illustration from A source book of problems for geometry, based upon industrial design and architectural ornament, 1912, leaf 160
star whose points are KLMN etc. is a y\ star. 8. Prove that the points 0, X, A, and 0, Y, C, etc., are collinear. 9. Prove that the circle through points A, K, and C is equal tothe giveh circle. 10. If OA = r, find the length of (1) AB; (2) OX; (3) KB. Ans. (1) rV2 - V3; (2) r(2 - V3) ; (3) r-(2 -… … Fig, i28a. —Arabic All-over. Bourgoin, (I) P). 13. 12. Construct the pattern shown in Fig. 128a.Suggestion.—Construct an all-over pattern of regular hexagons.About each circumscribe a circle. 148 MISCELLANEOUS INDUSTRIES

Geometry · Decoration and ornament

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