The interval O'O ", termed the astigmatic difference, increases, in general, with the angle W made by the principal ray OP with the axis of the system, i . e . with the field of view.
2.
He also held U . S . patent number 1, 507, 111 ( September 2, 1924 ) for a new and useful Lens System for Galilean Telescopes . In previous lens systems for Galilean telescopes, the elimination of the image defects was generally confined to the removal of the chromatic longitudinal aberration and the chromatic difference in magnification as well as to the elimination of the astigmatism for a certain definite locus of the eye . But a faultless image outside the axis can only be attained by simultaneously eliminating for the whole telescope the spherical longitudinal aberration and the condition of sine . These requirements were fulfilled by the invention in question, in which the astigmatic difference no longer depended so largely from the locus of the eye, as such has been the case in the Galilean telescopes hitherto known . This was achieved by making the objective consist of two collective members, each of which is composed of two cemented lenses, of which the one having the lower refractive index is facing the incident light, and by composing the ocular of three cemented lenses, the inner one being a flint lens .
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