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Book: GeometryIllustrations

Correspondences

Transformations

Geometries

Affine geometry

Rn

affine spaces are open subspaces of projective spaces, which are quotients of vector spaces.

Projective geometry

Rn + Rn-1 + ... + R0 difference is geometry

half sphere

vector space

zero

zero and infinity are balanced

lines in P2 or more generally hyperplanes in Pn always do intersect

Conformal geometry

Infinity is represented by the z axis which is perpendicular to the represented plane.

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Puslapis paskutinį kartą pakeistas 2016 rugpjūčio 05 d., 09:58