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The Polygons of Poncelet and Weill’s Theorem

Published online by Cambridge University Press:  03 November 2016

A. C. Dixon
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The Mathematical Gazette , Volume 1 , Issue 12 , October 1897 , pp. 121 - 123
Copyright
Copyright © Mathematical Association 1897

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References

page 121 note * This is proved as follows : Da bisects Cb at right angles, and therefore passes through a fixed point T, viz. the centre of the fixed circle on which C and b lie. But since a, D lie on a circle whose centre is C and radius CD,

Ta.TD= TC 2 – CD 2=constant.

Hence a and D are inverse with respect to T.

page 123 note * This is Weill’s Theorem. Compare Casey’s Sequel, p. 164.