Point (geometry): Difference between revisions
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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 planes typically intersect at a single point (though in special cases their intersection can be [[empty set|empty]], a line, or a plane). | Three planes typically intersect at a single point (though in special cases their intersection can be [[empty set|empty]], a line, or a plane). | ||
{{Image|847908976 22a19746b6.jpg|right|350px|Stubby marker.}} | |||
Revision as of 17:05, 6 April 2010
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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. Geometric objects, such as lines, planes, line segments, triangles, circles, disks, spheres, balls, cubes etc., are often (but not always) treated as sets of 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).
