Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-10T09:09:15.113Z Has data issue: false hasContentIssue false
  • English
  • Français

Systems of Spheres connected with the Tetrahedron

Published online by Cambridge University Press:  20 January 2009

J. A Third
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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