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A Conformal Proof of a Jordan Curve Problem

Published online by Cambridge University Press:  20 November 2018

G. Spoar  and
N.D. Lane
G. Spoar
Affiliation:
McMaster University
N.D. Lane
Affiliation:
McMaster University
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Extract

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The following theorem appears in [1].

Let R be a closed simply connected region of the inversive plane bounded by a Jordan curve J, and let J be divided into three closed arcs A1, A2, A3. Then there exists a circle contained in R and having points in common with all three arcs.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 5 , October 1969 , pp. 673 - 674
Copyright
Copyright © Canadian Mathematical Society 1969

References

1. Jackson, S.B., Vertices of plane curves. Bull. Amer. Math. Soc. 60 (1944) 564–578.Google Scholar