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Alhazen's problem : ウィキペディア英語版
Alhazen's problem
The medieval mathematician Alhazen's work on catoptrics in ''Book V'' of the ''Book of Optics'' solved an important problem known as Alhazen's problem, though it was first formulated by Ptolemy in 150 AD.
==Geometric formulation==
The problem comprises drawing lines from two points in the plane of a circle meeting at a point on the circumference and making equal angles with the normal at that point. This is equivalent to finding the point on the edge of a circular billiard table at which a cue ball at a given point must be aimed in order to canon off the edge of the table and hit another ball at a second given point. Thus, its main application in optics is to solve the problem, "Given a light source and a spherical mirror, find the point on the mirror where the light will be reflected to the eye of an observer." This leads to an equation of the fourth degree.〔

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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