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On the real Common Chords of a Point Circle and Ellipse

Published online by Cambridge University Press:  20 January 2009

Robert Frederick Davis
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(1) If O be a given point in the plane of a given conic, the mutual relationship between point and conic is marked, first and foremost, by the existence of a certain determinate straight line (which is always real) known as the polar of O with respect to the conic. Next following the polar in natural order of sequence, come a certain pair of determinate straight lines:

The single real pair of common chords of the conic and a point circle at O.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 13 , February 1894 , pp. 105 - 111
Copyright
Copyright © Edinburgh Mathematical Society 1894