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

Radhakrishnamurty Padyala

doi:10.51094/jxiv.85

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Radhakrishnamurty Padyala Central Electrochemical Research Institute Karaikudi

DOI:

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

Keywords:

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

Abstract

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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References

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.

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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.

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

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