Central Collineations: Properties

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

Chapter Chapter 2 in Collineations and Conic Sections, 2020, pp 15-29 from Springer

Abstract: Abstract We recall that a collineation is a one-to-one onto mapping of the projective plane to itself in which collinear points are mapped to collinear points. The collineation is central if there is a center, a point A where all lines on A are fixed, meaning the line is mapped to itself, although individual points on the line need not be fixed. We have seen that a collineation is central exactly when it has a line of fixed points, an axis. Central collineation

Date: 2020
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DOI: 10.1007/978-3-030-46287-1_2

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