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A problem on tangents to a sphere

Published online by Cambridge University Press:  24 October 2008

H. T. Croft
H. T. Croft
Affiliation:
St John's CollegeCambridge
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Extract

The problem is no. 226, Colloq. Math. 5 (1958), a problem of Steinhaus. If T is a closed set of tangent lines to a sphere S, are conditions (1) and (2) compatible:

(1) Every great circle of S has at least one tangent belonging to T.

(2) No great circle of S has two parallel tangents belonging to T?

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 3 , July 1961 , pp. 685 - 686
Copyright
Copyright © Cambridge Philosophical Society 1961

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