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A note on parallelism in affine geometry
Author(s) -
Schreiber Peter
Publication year - 1993
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19930390115
Subject(s) - affine transformation , affine geometry , parallelism (grammar) , axiom , uniqueness , mathematics , statement (logic) , affine geometry of curves , affine arithmetic , affine plane (incidence geometry) , parallel , geometry , affine coordinate system , synthetic geometry , affine group , affine space , computer science , mathematical analysis , plane (geometry) , differential geometry , projective geometry , parallel computing , political science , law
The uniqueness of the parallel lines is independent from the analogous statement on parallel planes and the usual further axioms of three‐dimensional affine geometry. MSC: 51A15, 03F65.