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COURSE OF ANALYTICAL GEOMETRY

book
Language:
Author: RUSLAN A. SHARIPOV
Url: http://arxiv.org/PS_cache/arxiv/pdf/1111/1111.6521v1.pdf
Format: Pdf
Year: 2011
Category: Geometry
Pages: 226
Clicks: 279

Description
The elementary geometry, which is learned in school, deals with basic concepts such as a point, a straight line, a segment. They are used to compose more complicated concepts: a polygo- nal line, a polygon, a polyhedron. Some curvilinear forms are also considered: a circle, a cylinder, a cone, a sphere, a ball. The analytical geometry basically deals with the same geometric objects as the elementary geometry does. The difference is in a method for studying these objects. The elementary geometry relies on visual impressions and formulate the properties of geometric objects in its axioms. From these axioms various theorems are derived, whose statements in most cases are also revealed in visual impressions. The analytical geometry is more inclined to a numeric description of geometric objects and their properties.

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