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Dual Vectors and the Petersen-Morley Theorem

Published online by Cambridge University Press:  03 November 2016

J A. Todd
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Extract

Several proofs, based on projective considerations, have been given recently of the Petersen-Morley theorem. In this note a direct metrical proof is given, based on the dual vectors of Study, which seems simpler than any of these.

Type
Research Article
Information
The Mathematical Gazette , Volume 20 , Issue 239 , July 1936 , pp. 184 - 185
Copyright
Copyright © Mathematical Association 1936 

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References

Page 184 of note † See e.g. Baker, H. F. Jour. London Math. Soc., 11 (1936), 24 CrossRefGoogle Scholar; or Frith, R., Proc. Camb. Phil. Soc., 30 (1934), 192, 197Google Scholar.

Page 184 of note ‡ Cf.Blaschke, , Differentialgeometrie, i (2 ed. Berlin, 1924), 191 Google Scholar.

Page 185 of note † Blaschke, loc. cit. 194. The result may easily be verified directly.