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