Difference between revisions of "Intersection (geometry)"
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| − | In [[geometry]], a [[line]] may be considered to be a set of [[point]]s with a particular property (the property of being on that line). Then the intersection of two lines reduces to the set definition of intersection. This also extends to other curves and surfaces. | + | In [[geometry]], a [[line]] may be considered to be a set of [[point]]s with a particular property (the property of being on that line). Then the intersection of two lines reduces to the [[intersection (set theory)|set definition of intersection]]. This also extends to other curves and surfaces. |
Especially in the geometric context, two objects are said to ''intersect'' if their intersection is non-[[empty set | empty]]. | Especially in the geometric context, two objects are said to ''intersect'' if their intersection is non-[[empty set | empty]]. | ||
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Latest revision as of 16:53, 28 December 2024
In geometry, a line may be considered to be a set of points with a particular property (the property of being on that line). Then the intersection of two lines reduces to the set definition of intersection. This also extends to other curves and surfaces.
Especially in the geometric context, two objects are said to intersect if their intersection is non- empty.
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