Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-26T04:12:55.637Z Has data issue: false hasContentIssue false
  • English
  • Français

The Petersen-Morley theorem, I

Published online by Cambridge University Press:  24 October 2008

R. J. Lyons  and
R. Frith
R. J. Lyons
Affiliation:
St John's College
R. Frith
Affiliation:
Trinity College
Get access Rights & Permissions [Opens in a new window]

Extract

Two perpendicular intersecting straight lines will be said to be normal to each other. Then the Petersen-Morley theorem is: Given arbitrarily three lines a, b, c, let a′ be the unique normal to b and c, b′ that to c and a, and c′ that to a and b; then the lines x, y, z, normal respectively to the pairs of lines a and a′, b and b′, c and c′, have a common normal.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 30 , Issue 2 , 30 April 1934 , pp. 192 - 196
Copyright
Copyright © Cambridge Philosophical Society 1934

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Morley, F., Proc. London Math. Soc. (1), 29 (1898), 670–673.Google Scholar

† Petersen, J., Oversigt over d. k. danske Vidensk. Selskabs Forhand. (1898), 283–344 (293).Google Scholar

‡ Study, E., Geometrie der Dynamen (1903), 107, 237.Google Scholar

§ Bennett, G. T., Proc. London Math. Soc. (2), 9 (1911), 273–285.CrossRefGoogle Scholar