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Systems of Spheres connected with the Tetrahedron

Published online by Cambridge University Press:  20 January 2009

J. A Third
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If A1 and B3 (Fig. 17), B1 and C3, C1 and D3, D1 and A3, A2 and C2, B2 and D2 be pairs of points on the edges

respectively of a tetrahedron ABCD, such that the two points on any edge are concyclic with the two points on any other edge—a manifestly possible condition of things—then the twelve points lie on a sphere.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 17 , February 1898 , pp. 108 - 112
Copyright
Copyright © Edinburgh Mathematical Society 1898