Caracterizacion de las evolutas de curvas planas


Authors

  • Carlos Arturo Escudero
  • Yuri Alexander Poveda
  • Leonardo Prieto

DOI:

https://doi.org/10.22517/23447214.2673

Abstract

En este artículo se presentan tres formas de determinar la evoluta de una curva plana. La primera forma consiste en definir campos de Jacobi a lo largo de una recta normal a la curva plana y la evoluta será el lugar geométrico donde dichos campos se anulan. La segunda consiste en usar algunos resultados de la teoría de contacto y singularidades, es decir se verifica que el conjunto formado por los puntos que son centros de círculos que tiene contacto de orden 3 con la curva plana es la evoluta de dicha curva. Por último se determina la evoluta como la envolvente de la rectas normales a la curva plana.

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Published

2009-08-30

How to Cite

Escudero, C. A., Poveda, Y. A., & Prieto, L. (2009). Caracterizacion de las evolutas de curvas planas. Scientia Et Technica, 2(42). https://doi.org/10.22517/23447214.2673

Issue

Vol. 2 No. 42 (2009)

Section

Ciencias Básicas

License

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