We have proposed the projection relations to restrain aberrations caused by change of object distance for some cases.
Now we comprehensively reconsider them for various cases. We theoretically develop the projection relations to
restrain coma aberration, sagittal and meridional field curvatures both for plane image and spherical image in two ways
of the view points of 3rd order aberration theory and direct method. We also confirm them by practical lens designing.
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