English-German translations for affine geometry

The branch of geometry dealing with what can be deduced in Euclidean geometry when the notions of line length and angle size are ignored
A geometry that is otherwise Euclidean but disregards lengths and angle sizes

As an alternative to the axiomatic approach, affine geometry can be studied via the properties of affine transformations, which do not, in general, preserve distances or angles, but do preserve alignment of points and parallelism of lines
The notion of parallelism remains central to affine geometry, in which the parallel postulate is replaced by Playfairs axiom, a version of the postulate that relies on neither distance nor angle size

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