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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todo:paper_0031921X_v41_n4_p208_Sztrajman2023-10-03T14:43:34Z Optical property of the ellipse derived from energy conservation Sztrajman, J. Rela, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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01.50Fa 42.10D 46.30M Sztrajman, J. Rela, A. 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. |
| format |
JOUR |
| author |
Sztrajman, J. Rela, A. |
| author_facet |
Sztrajman, J. Rela, A. |
| author_sort |
Sztrajman, J. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_0031921X_v41_n4_p208_Sztrajman |
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AT sztrajmanj opticalpropertyoftheellipsederivedfromenergyconservation AT relaa opticalpropertyoftheellipsederivedfromenergyconservation |
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1807321277936959488 |