The manuscript develops Linear Geometry synthetically from line relations on liners to algebraic structures such as magmas, loops, ternars, and quasi-fields, including area defined via parallels.
Pra˙ zmowska,A proof of the projective Desargues axiom in the Desarguesian affine plane , Demonstratio Math
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Linear Geometry and Algebra
The manuscript develops Linear Geometry synthetically from line relations on liners to algebraic structures such as magmas, loops, ternars, and quasi-fields, including area defined via parallels.