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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 66

An illustration from A source book of problems for geometry, based upon industrial design and architectural ornament, 1912, leaf 66
. Suggestion. — Figure 51a is based on Fig. 51. The construction isshown by the dotted lines. Notice the rpversing of the unit in ad-jacent squares. DESIGNS CONTAINING SQUARES WITBIN SQUARES 53 8. Show that the area of the figure RXSWTZUY is equal to thearea of the square ABCD. 9. Construct a… … n M Q Fig. 52 Arabic Design Unit. Bourgoin (2), Vol. 7, III, PI. 14. Fig. 52a. 63. In Fig. 52 ABCD is a square. AE = BF = CG = DH and AP = BQ= CR = DS. Points E and R, F and S, etc. are joined. EXERCISES 1. Prove that PG and ER are parallel.Suggestion. — ADPG^A EBR and Z 1 = Z 3 = Z .j. 2. Prove…

Geometry · Decoration and ornament

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