Euclid's postulates

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf Axioms
Mathematical postulates
gptkbp:author gptkb:Euclid
gptkbp:fifthPostulate If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.
gptkbp:fifthPostulateCommonName gptkb:Parallel_postulate
gptkbp:firstPostulate A straight line segment can be drawn joining any two points.
gptkbp:formedBy gptkb:Elements
circa 300 BCE
gptkbp:fourthPostulate All right angles are congruent.
https://www.w3.org/2000/01/rdf-schema#label Euclid's postulates
gptkbp:influenced gptkb:Development_of_non-Euclidean_geometry
gptkb:Foundations_of_geometry
gptkbp:language gptkb:Ancient_Greek
gptkbp:numberOfPostulates 5
gptkbp:partOf gptkb:Euclidean_geometry
gptkbp:secondPostulate Any straight line segment can be extended indefinitely in a straight line.
gptkbp:thirdPostulate Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.
gptkbp:bfsParent gptkb:geometry
gptkbp:bfsLayer 4