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The paper is almost entirely mathematical, and calculates the effect on the visibility of an object, illuminated by a projector, of the scattering and absorption of the light by the atmosphere. The discussion is divided into three parts dealing separately with the light reflected from the object from the incident beam, with the brightness of the atmospheric background due to scattered light, and of the conditions of visibility as functions of the two previous quantities. Numerical solutions of the equations are given and range curves are drawn for objects of different sizes and different reflecting powers and for sources of varying intensity.

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