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In this paper we present a set transformation of points in a line of theDesargues affine plane in a additive group. For this, the first stop on themeaning of the Desargues affine plane, formulating first axiom of his that showproposition D1. Afterwards we show that little Pappus theorem, which we use inthe construction of group proofs in additions of points on a line on desarguesplane, also applies in the Desargues affine plane.

The Transform of a line of Desargues Affine Plane in an additive Group of its Points