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2. On the Circumscribed, Inscribed, and Escribed Circles of a Spherical Triangle

Published online by Cambridge University Press:  15 September 2014

C. G. Colson
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Extract

In the following paper I propose to investigate expressions for the vector of the following six points of a spherical triangle :—

(1.) Pole of inscribed circle.

(2.) (3.) (4.) Poles of escribed circles.

(5.) Pole of circumscribed circle.

(6.) The orthocentre or intersection of arcs drawn perpendicularly from angles upon the opposite sides.

These vectors will all be found in terms of the vector of the corners of the triangle drawn from the centre of the sphere.

Type
Proceedings 1874-75
Information
Proceedings of the Royal Society of Edinburgh , Volume 8 , 1875 , pp. 589 - 596
Copyright
Copyright © Royal Society of Edinburgh 1875

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