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Alhazen's problem

Which point on the surface of the spherical mirror can reflect a ray of light from the candle to the observer's eye?

Alhazen's problem, also known as Alhazen's billiard problem, is a mathematical problem in geometrical optics first formulated by Ptolemy in 150 AD.[1] It is named for the 11th-century Arab mathematician Alhazen (Ibn al-Haytham) who presented a geometric solution in his Book of Optics. The algebraic solution involves quartic equations and was found in 1965 by Jack M. Elkin.

  1. ^ Weisstein, Eric W., "Alhazen's Billiard Problem", MathWorld

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