Repository Article

·2012 OPEN ACCESS

The Mapping of The Dual Projective Plane into The Dimensional Space of Lines

Füsun Uras YTU

DergiPark (Istanbul University)

Abstract

In this work every point of projective plane P_2 (whose coordinates are dual numbers ) is corresponded with a single oriented straight line of the spaces of straight lines. As examples, the figures corresponding to classical Desargues' axiom and Pappos' Theorem are determined. In addition, the figure corresponding Pappos figure is plotted axinometrically. 

Keywords

Dual (grammatical number) Real projective plane Projective plane Projective space Duality (order theory) Space (punctuation) Plane (geometry) Projective test Geometry Mathematics Pure mathematics Computer science Computer graphics (images) Topology (electrical circuits) Complex projective space Art Combinatorics

Subject Areas

Mathematics and Applications ·Geometry and Topology ·Physical Sciences
Advanced Theoretical and Applied Studies in Material Sciences and Geometry ·Biomedical Engineering ·Physical Sciences
History and Theory of Mathematics ·Theoretical Computer Science ·Physical Sciences