on proof is furnished that the side of a hexagonand the side of a decagon added, form a line which is cut in extreme and meanratio, and the side of the hexagon is the greater segment. (Fig. 31.) Proposi-tion 10 furnishes the proof that the square on the side of a pentagon inscribedin a circle is… … Fig. 31a. Later, in XIII, 18, the rectangular relationship is more clearly shown in aroot-five rectangle. The Euclidean diagram of the i8th proposition is peculiarlyinteresting in the light of dynamic symmetry because it suggests what mayhave been the Greek method of constructing the dynamic…
Vases, Greek
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