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A Theorem on the Contact of Circles leading up to the Theorems of Feuerbach and Hart

Published online by Cambridge University Press:  20 January 2009

John Dougall
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According to Feuerbach's theorem, the inscribed and the three escribed circles of a plane triangle are all touched by a circle

Hart's Theorem extends the proposition to a spherical triangle, or, which comes to the same thing, to a plane triangle formed by three circular arcs.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 33 , February 1914 , pp. 42 - 47
Copyright
Copyright © Edinburgh Mathematical Society 1914