The (Un)equal tangents problem

Serge Tabachnikov

doi:10.4169/amer.math.monthly.119.05.398

The (Un)equal tangents problem

Serge Tabachnikov

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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?

Original language	English (US)
Pages (from-to)	398-405
Number of pages	8
Journal	American Mathematical Monthly
Volume	119
Issue number	5
DOIs	https://doi.org/10.4169/amer.math.monthly.119.05.398
State	Published - May 1 2012

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4169/amer.math.monthly.119.05.398

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The (Un)equal tangents problem

Abstract

All Science Journal Classification (ASJC) codes

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