Pasch's axiom

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:Titan
geometric axiom
gptkbp:appliesTo gptkb:Euclidean_geometry
ordered geometry
gptkbp:describes incidence properties of points and lines
gptkbp:field gptkb:geometry
gptkbp:formedBy gptkb:Moritz_Pasch
1882
https://www.w3.org/2000/01/rdf-schema#label Pasch's axiom
gptkbp:partOf foundations of geometry
gptkbp:relatedTo gptkb:Hilbert's_axioms
gptkb:Euclid's_postulates
order axioms
gptkbp:state If a line enters a triangle through one side and does not pass through a vertex, it must exit through another side.
gptkbp:bfsParent gptkb:Moritz_Pasch
gptkbp:bfsLayer 7