Geometrical Constructions in the Islamic World
That geometrical constructions were of keen interest to the ancient Greek geometers is evident from the fact that Euclid devoted two of the thirteen books of his Elements to an account of some of the constructions that had been done up to his time. In Book IV, Euclid explains how to construct an equilateral triangle, a square and the regular pentagon, hexagon, octagon, decagon and 15-gon. In Book XIII he tells how to construct the regular polyhedra, namely the tetrahedron, cube, octahedron, dodecahedron and icosahedron—which have, respectively, 4, 6, 8, 12 and 20 faces.
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