Difference between revisions of "Parallel postulate"
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In [[geometry]], the parallel postulate is the fifth postulate in Euclid's Elements and a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry: | In [[geometry]], the parallel postulate is the fifth postulate in Euclid's Elements and a distinctive axiom in Euclidean geometry. It states that, in two-dimensional geometry: | ||
| − | If a [[line segment]] [[ | + | If a [[line segment]] [[intersect]]s two straight [[line]]s forming two [[interior angle]]s on the same side that are less than two [[right angle]]s, then the two [[line]]s, if extended indefinitely, meet on that side on which the [[angle]]s [[sum]] to less than two [[right angle]]s. |
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Latest revision as of 22:49, 27 February 2025
In geometry, the parallel postulate is the fifth postulate in Euclid's Elements and 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.
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