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| Olympiad Training Materials |
Title: Projective Geometry
Author(s): Milivoje Lukić
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(13 votes)Detailed rating: 5 (12x), 0 (1x)
Description: The perspectivity is the projection from a point, usually of a line to another line. A quantity that is preserved by this map, called the cross-ratio, naturally appears in many geometrical configurations, which makes this map and its properties very useful in a variety of geometry problems. We study the pole of a line, polar of a point, cross ratio, perspectivity, and we prove theorems of Desargue, Pappus, Pascal, Brianchon and Brokar.
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