An analogy is established between the methods for designing an optical
system to first and third order. While in the last one the aberration
s are calculated from the structure parameters of the optical system,
in this paper a method is developed where the starting point is a set
of proposed aberrations, and from those values the structure parameter
s of the optical system are calculated. In order to develope the last
method, the theory of Yamaji [1] was used, however new results were ob
tained for the case of a single lens and an achromatic cemented double
t.