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Book: ProjectiveGeometry


See: Geometry, Geometries

Understand what projective geometry is all about.


Theorems

Wildberger's key theorems

Concepts

Incidence geometry

Perspective maps lines to lines, conics to conics.

Questions

Do parallel lines going one way and going the other way meet at the same point at infinity? Or two different points at infinity? This is answered by considering a line as a vector space. So going around we get to the same line. But we have a different orientation. So the notion of orientation of a point becomes relevant. The line of infinity consists of oriented points.

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Puslapis paskutinį kartą pakeistas 2018 gruodžio 30 d., 16:30