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The Petersen-Morley theorem, II

Published online by Cambridge University Press:  24 October 2008

R. Frith
R. Frith
Affiliation:
Trinity College
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Extract

In a paper by Mr Lyons and myself an elementary proof of the following theorem was given:

Given three lines a, b, c in space, if a′ is the line of shortest distance of b and c, b′ that of c and a, and c′ that of a and b; and if x is the line of shortest distance of a and a′, y that of b and b′, and z that of c and c′, then x, y, z have a common line of shortest distance.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 30 , Issue 2 , 30 April 1934 , pp. 197 - 199
Copyright
Copyright © Cambridge Philosophical Society 1934

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References

* Proc. Camb. Phil. Soc. 30 (1934), 192.Google Scholar