Geodesic
Axiomatizing Perpendicularity and Parallelism
Journal for geometry and graphics, Tome 15 (2011) no. 2, pp. 129-139.

Voir la notice de l'article provenant de la source Heldermann Verlag

We establish a framework in which one can study perpendicularity and parallelism axiomatically. The lines of the Euclidean plane provide an admissible model of our axiom system but various other models exist, too. Focusing only on these two relations, our approach is more elementary and, thus, more suitable for the teaching of deductive geometry in the upper secondary schools and in mathematics teacher education than other existing axiomatizations of the Euclidean plane geometry.
Classification : 51-01, 97G99, 51F99
Mots-clés : Euclidean geometry, mathematics education, parallelism, perpendicularity 
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     title = {Axiomatizing {Perpendicularity} and {Parallelism}},
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P. Haukkanen; J. K. Merikoski; T. Tossavainen . Axiomatizing Perpendicularity and Parallelism. Journal for geometry and graphics, Tome 15 (2011) no. 2, pp. 129-139. http://geodesic.mathdoc.fr/item/JGG_2011_15_2_JGG_2011_15_2_a1/