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Extension of the Theory of Inversion to Conics

Published online by Cambridge University Press:  03 November 2016

J. J. Milne
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Extract

Let t be the centre of a circle, radius r, p any point in its plane, and draw the diameter through p. Then the inverse of p is a point p′ on tp such that tp. tp′ =r2. This circle is called the circle of inversion, its centre t the pole of inversion and the square of its radius the constant of inversion, and each of the points p, p′ is the inverse of the other. This relation is a metric one: a descriptive relation can be obtained as follows.

Type
Research Article
Information
The Mathematical Gazette , Volume 9 , Issue 141 , July 1919 , pp. 365 - 368
Copyright
Copyright © Mathematical Association 1919

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