Point (geometry): Difference between revisions
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imported>Catherine Woodgold (A point has position. Some statements are not true in some other geometries. etc.) |
imported>Subpagination Bot m (Add {{subpages}} and remove any categories (details)) |
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A '''point''' is a mathematical object in [[geometry]] which has a position but no [[length]] or [[breadth]] or [[depth]]. | A '''point''' is a mathematical object in [[geometry]] which has a position but no [[length]] or [[breadth]] or [[depth]]. | ||
A point is made up of no other parts. | A point is made up of no other parts. | ||
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Any two [[line (geometry)|lines]] that lay on a single [[plane (geometry)|plane]] and are not [[parallel (geometry)|parallel]] will intersect at a single point. | Any two [[line (geometry)|lines]] that lay on a single [[plane (geometry)|plane]] and are not [[parallel (geometry)|parallel]] will intersect at a single point. | ||
Any three [[plane (geometry)|planes]] such that no [[plane (geometry)|plane]] is [[parallel (geometry)|parallel]] to either of the other two will intersect at a single point. | Any three [[plane (geometry)|planes]] such that no [[plane (geometry)|plane]] is [[parallel (geometry)|parallel]] to either of the other two will intersect at a single point. | ||
Revision as of 09:49, 13 November 2007
A point is a mathematical object in geometry which has a position but no length or breadth or depth. A point is made up of no other parts. The extremities of a line segment are points. In Euclidean geometry: A line is made up of an infinite number of points. Any line can be completely defined by two distinct points. Any plane can be completely defined by three distinct points that are not all part of the same line. Any two lines that lay on a single plane and are not parallel will intersect at a single point. Any three planes such that no plane is parallel to either of the other two will intersect at a single point.