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Hamilton's Extension of Feuerbach's Theorem

Published online by Cambridge University Press:  03 November 2016

N. M. Gibbins
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Extract

The following treatment is perhaps easier than, and is in son respects an expansion of, that given by Professor H. F. Baker in h Principles of Geometry, vol. ii, pp. 58-60.

1. A,B,C,O are four given points ; AO meets BG in D, BO meet CA in E, CO meets AB in F. Then DEF is the diagonal point triangle of the quadrangle ABCO. Take this as triangle of reference for areal coordinates and let O be (u, v, w). Then A is (-u, v, w) B is (u, - v, w) and C is (u, v, -w).

Type
Research Article
Information
The Mathematical Gazette , Volume 19 , Issue 232 , February 1935 , pp. 34 - 36
Copyright
Copyright © Mathematical Association 1935

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