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Projective Geometry of the Sphere

Published online by Cambridge University Press:  20 January 2009

R. E. Allardice
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Abstract

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If A and B be two fixed points on a great circular arc and P a variable point on the arc, there are two and only two possible positions of the point P corresponding to a given valae of the ratio sinAP/sinBP, provided arcs measured in one direction from A or B be considered positive, and in the opposite direction negative; and these two points are antipodal.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 4 , February 1885 , pp. 56 - 58
Copyright
Copyright © Edinburgh Mathematical Society 1885