Central Collineations: Complete Quadrilateral, Involution, and Hexagon Theorems

Christopher Baltus ()
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Christopher Baltus: State University of New York at Oswego, Department of Mathematics

Chapter Chapter 7 in Collineations and Conic Sections, 2020, pp 87-97 from Springer

Abstract: Abstract An alternate definition of a harmonic set, based on the complete quadrilateral, emerged in the nineteenth century, a definition that does not depend on segment length. The concept appeared in the work of Desargues, although the name was first used by L. Carnot in 1803. That it produces a harmonic set was recognized by La Hire in 1685. Its dual, the complete quadrangle, is a different way of viewing the same figure. (In the period we cover, the figure was always called a complete quadrilateral.) Complete quadrilateral

Date: 2020
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DOI: 10.1007/978-3-030-46287-1_7

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