2010Unpublished venueRequires access

The Collinear of Elementary Geometry in High Viewpoint of Klein

Zhe Zhang

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Abstract

According to the Transformation Group theory of Klein,Euclidean geometry is a sub-geometry of projective geometry.So theory of projective geometry has certain significance on Euclidean geometry.This article studies on the collinear of elementary Geometry with theory of projective geometry.

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What this paper is about

According to the Transformation Group theory of Klein,Euclidean geometry is a sub-geometry of projective geometry.So theory of projective geometry has certain significance on Euclidean geometry.This article studies on the collinear of elementary Geometry with theory of projective geometry.

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Available abstract

According to the Transformation Group theory of Klein,Euclidean geometry is a sub-geometry of projective geometry.So theory of projective geometry has certain significance on Euclidean geometry.This article studies on the collinear of elementary Geometry with theory of projective geometry.

Key concepts: Projective geometry, Geometry, Ordered geometry, Euclidean geometry, Projective differential geometry, Absolute geometry, Transformation geometry, Synthetic geometry

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