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Theorem regarding Orthogonal Conics

Published online by Cambridge University Press:  20 January 2009

William Finlayson
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Definition. When two conics intersect each other at two points in such a manner that the tangents and normals of the one become the normals and tangents of the other, they may be said to cut each other orthogonally.

Theorem. 1st, A given conic can be cut at every point on it by two conics which are orthogonal to it; 2nd, every conic orthogonal to a given conic passes through two fixed points on the axis of the given conic.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 26 , February 1907 , pp. 18 - 20
Copyright
Copyright © Edinburgh Mathematical Society 1907