Post-Hellenic Euclidean Geometry

Francis Borceux
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Francis Borceux: Université catholique de Louvain

Chapter Chapter 5 in An Axiomatic Approach to Geometry, 2014, pp 167-196 from Springer

Abstract: Abstract After the decline of Greek mathematics, during a millennium, some few new results are proved in the spirit of Greek mathematics: results about the medians, the altitudes or the trisectrices of a triangle; or about the foci of the conics. More recently, during the nineteenth century, the theory of inversions—a “conformal mapping”, that is, a transformation preserving the angles—turns out to be essential in many modern developments of geometry.

Keywords: Conformal Mapping; Stereographic Projection; Fibonacci Number; Circular Cone; Horizontal Circle (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-01730-3_5

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