Point (geometry): Difference between revisions
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imported>Boris Tsirelson (correction) |
imported>Boris Tsirelson (correction) |
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Any [[plane (geometry)|plane]] can be completely defined by three distinct points that are not all part of the same [[line (geometry)|line]]. | Any [[plane (geometry)|plane]] can be completely defined by three distinct points that are not all part of the same [[line (geometry)|line]]. | ||
Any two [[line (geometry)|lines]] that lay on a single [[plane (geometry)|plane]] and are not [[parallel (geometry)|parallel]] (nor coincide) intersect at a single point. | Any two [[line (geometry)|lines]] that lay on a single [[plane (geometry)|plane]] and are not [[parallel (geometry)|parallel]] (nor coincide) intersect at a single point. | ||
Three [[plane (geometry)|planes]] typically intersect at a single point (though in special cases their intersection can be a line or | Three [[plane (geometry)|planes]] typically intersect at a single point (though in special cases their intersection can be [[empty set|empty]], a line, or a plane). | ||
Revision as of 22:44, 5 April 2010
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Diagram of a point (in blue) called A (with its label in black)
_circle_notation.png)
Diagram of a point using an alternative "circle" notation
A point is a mathematical object in geometry which has a position but neither length nor breadth nor depth. A point is made up of no other parts. The extremities of a line segment are points.
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 (nor coincide) intersect at a single point. Three planes typically intersect at a single point (though in special cases their intersection can be empty, a line, or a plane).