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On the relation between the stereographic projections of points of a plane related to one another by inversion

Published online by Cambridge University Press:  20 January 2009

Charles Tweedie
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What is meant will best be understood by the following:-

1. Suppose we have an unlimited straight line XX′ (fig.24) with a finite point O on it. Take two points on the line, C and C1 in the same sense with respect to O such that OC·OC1=a2. Then C and C1 are connected by inversion, and O is the centre inversion. Without loss of generality for what follows we may, for convenience, take a2=12=1, so that OC·OC1=1.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 10 , February 1891 , pp. 46 - 50
Copyright
Copyright © Edinburgh Mathematical Society 1891