In geometry, there is a transformation called the inversion mapping which maps nonorthogonal circles into nonorthogonal lines and vice versa.(If I make a mistake, inform me, since I am not very familiar with the terminology)And my question is:
Is there a magnitude of graphs that is preserved by the inversion mapping?
I cannot find one; I know there is a magnitude called the ratio which is preserved by projective transformations, is the ratio the thing I want?
Any help is well appreciated, thanks.