Geometrical Constructions in the Islamic World

J. L. Berggren
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J. L. Berggren: Simon Fraser University, Department of Mathematics and Statistics

Chapter Chapter 3 in Episodes in the Mathematics of Medieval Islam, 1986, pp 70-98 from Springer

Abstract: Abstract 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.

Keywords: Equilateral Triangle; Geometrical Construction; Conic Section; Double Cone; Islamic World (search for similar items in EconPapers)
Date: 1986
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DOI: 10.1007/978-1-4612-4608-4_3

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