Contribution: RulerCompassGeometry
Ruler and compass geometry axiomatization
Authors
- Jean Duprat
Description
This library contains an axiomatization of the ruler and compass euclidian geometry. Files A1 to A6 contain the axioms and the basic constructions. The other files build the proof that this axiomatization induces the whole plane geometry except the continuity axiom. For that the proofs of the Hilbert's axioms conclude this work in the files E1 to E5.
Keywords
geometry, plane geometry, ruler and compass geometry, euclidian geometry, hilbert's axioms
Available files
- RulerCompassGeometry.C12_Angles_Opposes.html
- RulerCompassGeometry.A2_Orientation.html
- RulerCompassGeometry.B2_Orient_Prop.html
- RulerCompassGeometry.D3_Triangle_Prop.html
- RulerCompassGeometry.A5_Cercle.html
- RulerCompassGeometry.D2_Axe.html
- RulerCompassGeometry.C7_DroitesSecantesProp.html
- RulerCompassGeometry.B1_Confondu_Prop.html
- RulerCompassGeometry.A4_Droite.html
- RulerCompassGeometry.C9_Triangles_Emboites.html
- RulerCompassGeometry.B8_Point_Def.html
- RulerCompassGeometry.A1_Plan.html
- RulerCompassGeometry.D1_DistanceProp.html
- RulerCompassGeometry.B12_Tacticques_base.html
- RulerCompassGeometry.C2_Entre_Prop.html
- RulerCompassGeometry.B7_Triangle_Equilateral.html
- RulerCompassGeometry.E2_Ordre.html
- RulerCompassGeometry.C15_Parallelogramm.html
- RulerCompassGeometry.B10_Longueur_Prop.html
- RulerCompassGeometry.B9_Inegalite_Triang.html
- RulerCompassGeometry.B3_Alignes_Prop.html
- RulerCompassGeometry.C13_Angles_Supplem.html
- RulerCompassGeometry.C4_Triangles_non_degeneres_egaux.html
- RulerCompassGeometry.D6_SumAnglesProp.html
- RulerCompassGeometry.C6_Parallele_Prop.html
- RulerCompassGeometry.C8_DroitesConfondues.html
- RulerCompassGeometry.C3_Triangles_Egaux.html
- RulerCompassGeometry.D4_CongruenceProp.html
- RulerCompassGeometry.C11_Mediatrice.html
- RulerCompassGeometry.C10_Milieu.html
- RulerCompassGeometry.A3_Metrique.html
- RulerCompassGeometry.C5_Droite_Prop.html
- RulerCompassGeometry.E3_Congruence.html
- RulerCompassGeometry.D7_NonParalleles_Secantes.html
- RulerCompassGeometry.D5_ParalleleConst.html
- RulerCompassGeometry.C14_Angle_Droit.html
- RulerCompassGeometry.E5_Parallelisme.html
- RulerCompassGeometry.B5_Entre_Prel.html
- RulerCompassGeometry.E1_Incidence.html
- RulerCompassGeometry.B4_Droite_Def.html
- RulerCompassGeometry.B6_Cercle_Def.html
- RulerCompassGeometry.A6_Intersection.html
- RulerCompassGeometry.C1_DemiDroite_Prop.html
- RulerCompassGeometry.B11_Angle_prop.html
- RulerCompassGeometry.E4_Continuite.html
