Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-17T04:41:05.437Z Has data issue: false hasContentIssue false

A Geometrical Proof of a Theorem connected with the Tetrahedron

Published online by Cambridge University Press:  20 January 2009

Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

1. The six planes through the middle points of the edges of a tetrahedron perpendicular to the opposite edges are concurrent.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1909

References

* Systematische Entwickelung der Abhängigkeit geometriseher Gestalten von einander (problem 39 of the supplement), Gesammelte Werke, vol. 1, p. 446Google Scholar; Vermischte Sätze und Aufgaben, ibid., vol. 2, p. 675.

Bulletin des sciences mathématiques et astronomiques, ser. 2, vol. 7 (1883), pp. 314324.Google Scholar

Second series, vol. 3, No. 4 (1902), On some curves connected with a system of similar conics.

§ Vol. 4, No. 1 (1903), On the envelope of the axes of a system of conics passing through three fixed points.

* Collected Mathematical Papers, vol. 7, p. 568.Google Scholar

* See the paper entitled, On some curves, etc., referred to above.Google Scholar

* See the paper entitled, On the envelope of the axes, etc., referred to above.Google Scholar