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- Q207014 subject Q7413897.
- Q207014 subject Q7900548.
- Q207014 subject Q8308266.
- Q207014 subject Q8519788.
- Q207014 abstract "In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry:If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles.Euclidean geometry is the study of geometry that satisfies all of Euclid's axioms, including the parallel postulate. A geometry where the parallel postulate does not hold is known as a non-Euclidean geometry. Geometry that is independent of Euclid's fifth postulate (i.e., only assumes the modern equivalent of the first four postulates) is known as absolute geometry (or, in other places known as neutral geometry).".
- Q207014 thumbnail Parallel_postulate_en.svg?width=300.
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- Q207014 comment "In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean geometry.".
- Q207014 label "Parallel postulate".
- Q207014 depiction Parallel_postulate_en.svg.
