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An Extension of Clifford's Circle Chain

Published online by Cambridge University Press:  31 October 2008

John Dougall
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In elementary plane geometry there is a very well known theorem attributed to Wallace (1806) which runs:

Theorem I. If four lines are given in a plane, the circumscribing circles of the triangles which they form three by three are concurrent.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 26 , October 1930 , pp. i - v
Copyright
Copyright © Edinburgh Mathematical Society 1930

References

1 See in particular Professor Baker's beautiful book cited below.

1 Baker, H. F., Principles of Geometry, Vol. 26, p. 61.Google Scholar

2 Veblen, and Young, , Projectire Geometry, Vol. 26, pp. 105, 326.Google Scholar

1 Coolidge, J. L., A Treatise on the Circle and Sphere, p. 90.Google Scholar

2 Baker, H. F., l. c. vol. 26, pp. 18, 29.Google Scholar