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Note on the generalized Wallace theorem and related topics

Published online by Cambridge University Press:  24 October 2008

D. W. Babbage
D. W. Babbage
Affiliation:
Magdalene College, Cambridge
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Extract

1. Wallace's theorem, that the circumcircles of the four triangles formed by the sets of three from four coplanar lines meet in a point, has a generalization to Euclidean affine space of any even dimension n: namely, if we have n + 2 general primes (or hyperplanes) in such a space, the n + 2 circumhyperspheres of the simplexes formed by the sets of n + 1 of the primes meet in a point.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 2 , March 1975 , pp. 289 - 292
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

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