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Snell's law of reflection from the definition of Apollonius circle

##article.authors##

  • Padyala, Radhakrishnamurty Central Electrochemical Research Institute Karaikudi

DOI:

https://doi.org/10.51094/jxiv.85

キーワード:

Snell’s laws、 Reflection、 Apollonius circle、 Spherical surface、 Orthogonal circles

抄録

We show in this note that the definition of Apollonius circle is an alternate form of the statement of Snell’s law of reflection. Using the definition of Apollonius circle we construct the path of a light ray between two given points reflected at a point on the circle in traversing the path from one given point to the other given point.

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引用文献

A. M. Smith, Ptolemy and the Foundations of Ancient Mathematical Optics: A Source Based Guided Study, Trans. Am. Phil. Soc., New series, 89, N0. 3, (1999). https://www.jstor.org/stable/3185870.

Pavlos Mihas, Some historical resources for teaching about curved mirrors, Phys. Educ. 37, (2002) 311.

Wilbur Knorr, The Geometry of Burning - Mirrors in Antiquity, ISIS,74, (1983) 53-73.

C. Stanley Ogilvy. Excursions in geometry, Dover Pub. Inc. New York, (1990) Ch. 2, pp. 13-23.

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投稿日時: 2022-06-07 08:13:56 UTC

公開日時: 2022-06-16 01:10:39 UTC
研究分野
物理学