Cross Ratio Geometry Advances for Four Co-Linear Points in the Desargues Affine Plane-Skew Field

2022/09/11 by Zaka, Orgest, Peters, James F.
#30C20 #30F40 #51-XX #51A30 #51Axx #51E15 #51N25 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2209.14241

Abstract

This paper introduces advances in the geometry of the cross ratio of four co-linear points in in the Desargues affine plane. The cross-ratio of co-linear points of a skew field in the Desargues affine plane. The results given here have a clean rendition, based on Desargues affine plane axiomatics, skew field properties and the addition and multiplication of planar co-linear points.

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