Cross ratio geometry: advances for multiple collinear points in the desargues affine plane

Orgest Zaka; James F.  Peters

doi:10.5269/bspm.75627

Orgest Zaka Department of Mathematics - Informatics Faculty of Economy and Agribusiness Agricultural University of Tirana, Tirana, Albania. Kamza Hill, SH1, Tirana 1000, Building A, Office 232.
James F. Peters

Abstract

This paper introduces advances in the geometry of the cross ratio of multiple collinear points of a skew field in the Desargues affine plane. This paper extends earlier results for three collinear points in terms of the geometry resulting from four co-linear points 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 collinear points.

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