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Formulae connected with the Radii of the incircle and the excircles of a triangle

Published online by Cambridge University Press:  20 January 2009

J. S. Mackay
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The notation employed in the following pages is that recommended in a paper of mine on “The Triangle and its Six Scribed Circles”* printed in the first volume of the Proceedings of the Edinburgh Mathematical Society. It may be convenient to repeat all that is necessary for the present purpose.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 12 , February 1893 , pp. 86 - 105
Copyright
Copyright © Edinburgh Mathematical Society 1893

References

* The title is somewhat of a misnomer. Five only of these circles are treated of. The sixth (the nine-point circle) is discussed in the eleventh volume of the Proceedings.

† On the Continent of Europe p is generally employed instead of s.

‡ This notation was suggested by Weddle, Thomas in 1842.Google Scholar See Lady's and Gentleman's Diary for 1843, p. 78.Google Scholar Professor Neuberg proposes P 1, P 2, P3 instead of p −a, p −b, p −c in Mathesis, III. 167 (1883).Google Scholar