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Pencils Of Polarities In Projective Space

Published online by Cambridge University Press:  20 November 2018

Seymour Schuster
Seymour Schuster*
Affiliation:
Polytechnic Institute of Brooklyn
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1. Introduction. A polarity in complex projective space of two dimensions (S2) is completely determined by a self-polar triangle ABC, and a pair of corresponding elements: a point P and its polar line p. We denote the polarity by (ABC) (Pp). We follow Coxeter (2) in denning a pencil of polarities as the ∞1 polarities (ABC) (Pp) where A, B, C, P are fixed while p varies in a pencil of lines.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 119 - 144
Copyright
Copyright © Canadian Mathematical Society 1956

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