Desargues’s Theorem

John W. Dawson
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John W. Dawson: Penn State York

Chapter Chapter 9 in Why Prove it Again?, 2015, pp 93-110 from Springer

Abstract: Abstract The basic notions, and some of the fundamental theorems, of what would later be called projective geometry were first established in the seventeenth century, in response to questions that arose with regard to map projections and problems of perspective encountered by artists in representing three-dimensional scenes on planar canvases. Viewed then as theorems of Euclidean geometry, many of the results obtained could not be expressed in full generality by a single statement, but required consideration of various special cases.

Keywords: Projective Plane; Euclidean Geometry; Projective Geometry; Euclidean Plane; Continuity Axiom (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-17368-9_9

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