Translations:Fermat’s principle and reflection and refraction/4/en

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In addition, the following relations hold as a consequence of the proposition that a straight line is the shortest distance between two points. Because is any point on the plane ST, it follows that ACB is the shortest path and therefore the minimum time path from A to the plane ST to B. Now because PC is normal to ST and is the image of A, both the angle of incidence ACP and the angle of reflection PCB are complements of the angle DC. Hence, the angle of incidence is equal to the angle of reflection. This is the law of reflection.