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Negative Pedal of the Ellipse with Respect to a Focus

Published online by Cambridge University Press:  03 November 2016

E. H. Lockwood
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My attention was first called to this attractive curve by a pupil, M. J. Burleigh; so, lacking any other name, we called it “Burleigh’s Oval”. It is mentioned in Salmon’s Higher Plane Curves (p. 107), where a cartesian equation is given; and in Hilton’s Plane Algebraic Curves (p. 64), where it is described, with a diagram, as the reciprocal of the Limaçon. It also occurs in a very interesting general treatment of negative pedals by A. Ameseder, (Archiv der Mathematik und Physic, LXIV, 1879).

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Type
Research Article
Information
The Mathematical Gazette , Volume 41 , Issue 338 , December 1957 , pp. 254 - 257
Copyright
Copyright © Mathematical Association 1957 

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