Hallard T. Croft
Abstract
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?
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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?
Key concepts: Tangent, Great circle, Mathematics, Geometry, Tangent vector, Set (abstract data type), Combinatorics, Mathematical analysis