An Analytical System of Conic Sections: Designed for the Use of Students

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Printed ... by John Smith for J. & J.J. Deighton, Cambridge, and sold by J.G. & F. Rivington, 1834 - Conic sections - 207 pages
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Page 97 - ... a diameter, in a constant ratio, the author proves the following propositions relating to this curve : — 1. The rectangle of the abscissae is to the square of the ordinate, as the square of the semiaxis major to the difference of the squares of the semiaxis major and the excentricity. 2. The distance of any point in the curve from the focus, is to its distance from the directrix, as the excentricity is to the semiaxis major. 3. The sum of the distances of any point in the curve from the two...

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