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Conjugation 2: Conjugate lines in a triangle

Published online by Cambridge University Press:  01 August 2016

C. J. Bradley
C. J. Bradley*
Affiliation:
Flat 4, Terrill Court, 12–14 Apsley Court, Clifton, Bristol BS8 2SP
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Extract

In a previous note the present author has given an account of the conjugations known as isogonal conjugation and isotomic conjugation with respect to a given triangle and has shown how to generalise the idea of conjugation involving a pair of points so that P(l, m, n) is q-conjugate, by means of a construction involving a transversal q, to the point (p2/l, q2/m, r2/n) and he has also demonstrated how to perform the geometrical constructions involved. When there is a self-conjugate point at the incentre I one has isogonal conjugation, and when there is a self-conjugate point at the centroid G one has isotomic conjugation.

Type
Articles
Information
The Mathematical Gazette , Volume 93 , Issue 528 , November 2009 , pp. 420 - 432
Copyright
Copyright © The Mathematical Association 2009

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References

1. Bradley, C.J., Conjugation 1, Math Gaz. 93 (July 2009) pp. 232–236.Google Scholar
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