Parallel Reflection of Light By Plane Mirrors

Cover Parallel Reflection of Light By Plane Mirrors
Parallel Reflection of Light By Plane Mirrors
Joseph Bishop Keller
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Tion Sup}^ose three planes meet at a single point end that one side of each plane is designated as the reflecting side. Then one and only one of the eight regions into which the planes divide space will be on the reflecting side of all three mirrors. Any oriented straight line in this region which can be extended indefinitely in its negative direction without intersecting a plane is called an incident ray . If an incident ray intersects a plane it is reflected according to the law of reflection...; the reflected ray may "be again reflected, etc. If a reflected ray can be extended indefinitely in its positive direction without intersecting a plane, it is called a final reflected ray. The problem we con- sider is thpt of finding all configure ticns of three planes meeting at a point with the property that every final reflected ray is parallel to the incident ray from which it originates.
First, following Synge, we shall reformulate the problem in terms of reflection of points on the surface of a sphere.


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