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A Theorem of Isoperimetric Loops

Published online by Cambridge University Press:  03 November 2016

C. E. McVicker
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Extract

The following note is intended to draw attention to a curious relation which I arrived at, some years ago, between the lengths of the common tangents of two intersecting ellipses, and the lengths of the arcs between their points of contact.

The property proved may be regarded as an extension of Graves’ Theorem [SALMON; Art. 399] and is deduced from that theorem in conjunction with a lemma proved in this note.

Type
Research Article
Information
The Mathematical Gazette , Volume 1 , Issue 16 , February 1899 , pp. 228 - 230
Copyright
Copyright © Mathematical Association 1899

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