2012Applied Mechanics and MaterialsOpen access

Projective Geometry on the Structure of Geometric Composition Analysis Application

Xiao Zhuang Song, Ming Lu, Tao Qin

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Abstract

The analysis rule of geometry composition analysis in building structure must rely on geometry theory, while the traditional Euclidean geometry theory can not solve some building structures problems of the geometry components. This problem can be solved in the use of projective geometry theory. In this paper we introduce the proof of projective geometry in the geometry composition analysis and we discuss the application of this theory.

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What this paper is about

The analysis rule of geometry composition analysis in building structure must rely on geometry theory, while the traditional Euclidean geometry theory can not solve some building structures problems of the geometry components. This problem can be solved in the use of projective geometry theory. In this paper we introduce the proof of projective geometry in the geometry composition analysis and we discuss the application of this theory.

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Available abstract

The analysis rule of geometry composition analysis in building structure must rely on geometry theory, while the traditional Euclidean geometry theory can not solve some building structures problems of the geometry components. This problem can be solved in the use of projective geometry theory. In this paper we introduce the proof of projective geometry in the geometry composition analysis and we discuss the application of this theory.

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

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