Abstract
After a short discussion of the general theory of the first order aberrations in a system of thin lenses, the equations expressing the absence of Seidel's first four aberrations in an objective consisting of two thin systems of lenses, separated by an interval, are formed. When each of the two thin systems consists of only two lenses, the equations can be put in a form which admits of an elegant graphical solution, regard being paid to the necessity of obtaining a solution in which on one of the lens curvatures exceeds a certain limit.
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