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Abstract:

It is well known that rays of light originating at one of the foci of an elliptical mirror converge at the other focus after reflecting off the surface.1 Usually this is proven using the equation of the ellipse and geometrical theorems2 or by means of calculus.3 In this paper we show that the proof may be done very easily by considering a simple mechanical system having the same geometry and using conservation energy. © 2003 American Association of Physics Teachers.

Registro:

Documento: Artículo
Título:Optical property of the ellipse derived from energy conservation
Autor:Sztrajman, J.; Rela, A.
Filiación:Departamento de Fisicomatemática (5), Ciclo Básico Común, Universidad de Buenos Aires, Pabellón III, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Palabras clave:01.50Fa; 42.10D; 46.30M
Año:2003
Volumen:41
Número:4
Página de inicio:208
Página de fin:209
DOI: http://dx.doi.org/10.1119/1.1564500
Título revista:Physics Teacher
Título revista abreviado:Phys. Teach.
ISSN:0031921X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0031921X_v41_n4_p208_Sztrajman

Referencias:

  • Lebesgue, H., (1942) Les Coniques, p. 15. , (Gauthier-Villars, Paris,)
  • Zill, D.G., (1985) Calculus with Analytic Geometry, , (P.W.S. Publishers, New York,)
  • Swartz, C., (1993) Used Math, p. 131. , (AAPT, College Park, MD,)

Citas:

---------- APA ----------
Sztrajman, J. & Rela, A. (2003) . Optical property of the ellipse derived from energy conservation. Physics Teacher, 41(4), 208-209.
http://dx.doi.org/10.1119/1.1564500
---------- CHICAGO ----------
Sztrajman, J., Rela, A. "Optical property of the ellipse derived from energy conservation" . Physics Teacher 41, no. 4 (2003) : 208-209.
http://dx.doi.org/10.1119/1.1564500
---------- MLA ----------
Sztrajman, J., Rela, A. "Optical property of the ellipse derived from energy conservation" . Physics Teacher, vol. 41, no. 4, 2003, pp. 208-209.
http://dx.doi.org/10.1119/1.1564500
---------- VANCOUVER ----------
Sztrajman, J., Rela, A. Optical property of the ellipse derived from energy conservation. Phys. Teach. 2003;41(4):208-209.
http://dx.doi.org/10.1119/1.1564500