Optical property of the ellipse derived from energy conservation

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...

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Publicado: 2003
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0031921X_v41_n4_p208_Sztrajman
http://hdl.handle.net/20.500.12110/paper_0031921X_v41_n4_p208_Sztrajman
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spelling paper:paper_0031921X_v41_n4_p208_Sztrajman2023-06-08T14:58:56Z Optical property of the ellipse derived from energy conservation 01.50Fa 42.10D 46.30M 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. 2003 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0031921X_v41_n4_p208_Sztrajman http://hdl.handle.net/20.500.12110/paper_0031921X_v41_n4_p208_Sztrajman
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 01.50Fa
42.10D
46.30M
spellingShingle 01.50Fa
42.10D
46.30M
Optical property of the ellipse derived from energy conservation
topic_facet 01.50Fa
42.10D
46.30M
description 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.
title Optical property of the ellipse derived from energy conservation
title_short Optical property of the ellipse derived from energy conservation
title_full Optical property of the ellipse derived from energy conservation
title_fullStr Optical property of the ellipse derived from energy conservation
title_full_unstemmed Optical property of the ellipse derived from energy conservation
title_sort optical property of the ellipse derived from energy conservation
publishDate 2003
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0031921X_v41_n4_p208_Sztrajman
http://hdl.handle.net/20.500.12110/paper_0031921X_v41_n4_p208_Sztrajman
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