1926•Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access
Note on the extension to higher space of a theorem of Wallace
J. P. Gabbatt
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Abstract
The theorem is attributed to Wallace that, in a euclidean plane, the circumcircles of the triangles determined by four lines, of general position, meet at a point. It is further known that, in euclidean space of n dimensions, the circumhyperspheres of the simplices determined by n + 2 flats, of general position, meet at a point, if and only if n be even.