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Isogonal Conjugate Points for a Triangle

Published online by Cambridge University Press:  03 November 2016

N. A. Court
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Extract

Introduction, (a) Let M, M’ be two isogonal conjugate points with respect to a triangle (T) = ABC: MP, M’P’; MQ, M’Q’; MR, M’R’ the perpendiculars from M, M’ upon the sides BC, CA, AB of (T), respectively. The triangles (M) = PQR, (M’) = P’Q’R’ are the pedal triangles of the points M, M’ for (T), and the common circumcircle (L) of those two triangles is the pedal circle of M. M’ for (T) [1, pp. 238–242].

Type
Research Article
Information
The Mathematical Gazette , Volume 36 , Issue 317 , September 1952 , pp. 167 - 170
Copyright
Copyright © Mathematical Association 1952

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References

1. Nathan, Altshiller-Court, College Geometry (1925).Google Scholar
2. Michel, Chasles, Sections coniques, p. 98 (Paris, 1865).Google Scholar
3. Cremona, L., Projective Geometry, p. 239 (London, 1913).Google Scholar