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On the stationary eccentricity of a system of conies through four given points

Published online by Cambridge University Press:  20 January 2009

F. E. Edwardes
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Let the equation of the four point system be

where h is a variable parameter and a, b, g, f and c are constants. The four fixed points are thus given by and . Since the quadrilateral is real g2>ac and f2>bc: it is convex if and have the same sign, i.e. if ab is positive, and concave if ab is negative.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , February 1909 , pp. 54 - 63
Copyright
Copyright © Edinburgh Mathematical Society 1909