Cross Ratio Geometry Advances for Four Co-Linear Points in the Desargues Affine Plane-Skew Field
Orgest Zaka, James F. Peters
TL;DR
This paper explores new geometric properties of the cross ratio of four co-linear points within the Desargues affine plane, utilizing skew field algebra and affine plane axioms to deepen understanding.
Contribution
It introduces novel advances in the cross ratio geometry for co-linear points in the Desargues affine plane using skew field properties.
Findings
New geometric relations for cross ratios in Desargues affine plane
Integration of skew field algebra with affine plane geometry
Enhanced axiomatic framework for co-linear point configurations
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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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Advanced Differential Equations and Dynamical Systems