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 114
Fig. 90a.— Iron Grills. EXERCISES 114. 1. Draw a network of squares. Draw the diagonals of eachsquare. Prove that these diagonals form two sets of parallel linesthat intersect in squares. See Fig. 91. 2. Draw the diameters of the first set of squares. Compare theareas of squares ABCD, ECFD, and AG… … 3. If the circles in column III, Fig. 91, are circumscribed about thesmall squares, find the area of one of the ovals formed ii AB = a. 4. In column III, prove that the diagonals of the large squares aretangent to tvi^o circles at the vertices of the small squares. 5. Show how the ovals are formed…
Geometry · Decoration and ornament
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