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The pedal triangle

Published online by Cambridge University Press:  20 January 2009

J. E. A. Steggall
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The area of the pedal triangle of a given triangle is easily shown by trilinear co-ordinates to bear to that of the original triangle the ratio R2 – S2: 4R2 where S is the distance of the point from the circumcentre of the triangle. A proof, by purely geometrical methods, of this theorem was read before the Society (Proceedings, Vol. III., pp. 78–79) by Mr Alison.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 12 , February 1893 , pp. 85
Copyright
Copyright © Edinburgh Mathematical Society 1893