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 108
ns. (1) 2a2(2-V2); (2) 2a2(V2-l); (3) 2a^{^-l);(4) 2a2(V2 - 1); (5) a2(6V2 - 8). 11. If AB = a and jIO = AF, find the length of NS and the areaof NSXTPU etc. ^ns. (1) |(3\/2 - 4) ; (2) 0^(20 - 14V2). 12. Verify the areas AEMFB etc., and NSXTPU etc. by applyingthe theorem: The areas of two similar… … A X B Fig. 84. — From a Roman Mosaic Pavement. Zahn (2), Vol. II, PI. 79, Vol. Ill, PI. 6. 96 MISCELLANEOUS INDUSTRIES EXERCISES105. 1. Give the construction for the figure within the squareABCD in Fig. 84. Suggestion. — First inscribe the circle in the square. 2. Prove that GPYZ is a rhombus. 3.…
Geometry · Decoration and ornament
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![An illustration from Divina proportione : opera a tutti glingegni perspicaci e curiosi necessaria oue ciascun studioso di philosophia: prospettiua pictura sculptura: architectura: musica: e altre mathematice: suavissima: sotile: e admirabile doctrina consequira: e delecterassi: co[n] varie questione de secretissima scientia (1509)](https://img.insideoutlibrary.com/img/200/ia-divinaproportion00paci-111-287.webp)
