Concept information
Preferred term
parallel postulate
Definition
-
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 are 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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Parallel_postulate)
Broader concept
Entry terms
- Euclid's fifth postulate
In other languages
-
French
-
axiome des parallèles
-
cinquième postulat d’Euclide
URI
http://data.loterre.fr/ark:/67375/PSR-FZ1RX7X8-8
{{label}}
{{#each values }} {{! loop through ConceptPropertyValue objects }}
{{#if prefLabel }}
{{/if}}
{{/each}}
{{#if notation }}{{ notation }} {{/if}}{{ prefLabel }}
{{#ifDifferentLabelLang lang }} ({{ lang }}){{/ifDifferentLabelLang}}
{{#if vocabName }}
{{ vocabName }}
{{/if}}