Inscribed and circumscribed circles to convex curves
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- by Tudor Zamfirescu
- Proc. Amer. Math. Soc. 80 (1980), 455-457
- DOI: https://doi.org/10.1090/S0002-9939-1980-0581004-2
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Abstract:
A convex planar curve may have $2,3, \ldots ,\mathfrak {c}$ contact points with its inscribed or circumscribed circle. One of these numbers appears in most cases: 3.References
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- Tudor Zamfirescu, The curvature of most convex surfaces vanishes almost everywhere, Math. Z. 174 (1980), no. 2, 135–139. MR 592910, DOI 10.1007/BF01293533
Bibliographic Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 455-457
- MSC: Primary 52A20; Secondary 52A22, 54E52
- DOI: https://doi.org/10.1090/S0002-9939-1980-0581004-2
- MathSciNet review: 581004