Attitudes
Lines in Different Attitudes
87. Any line or linear progression may be turned upon a center, and so made to take an indefinite number and variety of attitudes. It may be inverted upon an axis, and the inversion may be turned upon a center producing another series of attitudes which, except in the case of axial symmetry in the line, will be different from those of the first series.
In this case the line changes its attitude.
In this case I have inverted the line, and turning the inversion upon a center I get a different set of attitudes.
In this case, which is a case of axial symmetry in the line, the inversion gives us no additional attitudes.