An Interesting Property of the Evolute
Escudero and Reventos discuss the property of the evolute. An evolute is the locus of centers of curvature of a plane curve. The evolute E of a smooth curve C has singularities. The cusps of the evolute correspond to the points of C where the curvature takes extreme values. In this equation, the evo...
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Veröffentlicht in: | The American mathematical monthly 2007-08, Vol.114 (7), p.623-628 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Escudero and Reventos discuss the property of the evolute. An evolute is the locus of centers of curvature of a plane curve. The evolute E of a smooth curve C has singularities. The cusps of the evolute correspond to the points of C where the curvature takes extreme values. In this equation, the evolute of C is the envelope of all the normals to this curve. |
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ISSN: | 0002-9890 1930-0972 |
DOI: | 10.1080/00029890.2007.11920452 |