An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 217
xal. It was proved in § 308, that if with any point P, on the radicalaxis of two circles, as centre, a circle be described cutting eithercircle orthogonally, it will also cut the other circle orthogonally.Hence, if the centre of a circle which cuts one circle of a coaxalsystem orthogonally, lie on… … Let these fixed points be L and L. Then it is evident thatthe power of the point P with respect to the point-circle L isequal to the power of P with respect to any circle of the system. PROPERTIES OF THE LIMITING POINTS. 201 Hence the point L, and similarly the point L, may be consideredas a…
Geometry
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