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Projective Geometry

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Author:Nick Thomas
Description: Basics, path curves, counter space, pivot transforms, and some people involved in the development of projective geometry, which is concerned with incidences: where elements such as lines planes and points either coincide or not. For example, Desargues Theorem says that if corresponding sides of two triangles meet in three points lying on a straight line, then corresponding vertices lie on three concurrent lines. The converse is also true: if corresponding vertices lie on concurrent lines, then corresponding sides meet in collinear points. This illustrates a fact about incidences and has nothing to say about measurements, which is characteristic of pure projective geometry. Projective geometry regards parallel lines as meeting in an ideal point at infinity.

Levels: High School (9-12), College
Languages: English
Resource Types: Graphics, Bibliographies
Math Topics: Affine Geometry, Projective Geometry

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