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The (Un)equal Tangents Problem

Serge Tabachnikov
The American Mathematical Monthly
Vol. 119, No. 5 (May 2012), pp. 398-405
DOI: 10.4169/amer.math.monthly.119.05.398
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Page Count: 8
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The (Un)equal Tangents Problem
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Abstract There are two tangent segments to a strictly convex closed plane curve from every point in its exterior. We discuss the following problem: does there exist a curve such that one can walk around it so that, at all moments, the two tangent segments to the curve have unequal lengths?

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