Point (geometry): Difference between revisions
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imported>Robert Tito m (Point moved to Point (geometry): request A, Stos) |
imported>John Roby Clayton No edit summary |
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A '''point''' is a concept in [[Euclidean geometry]] without [[length]] or [[breadth]] or [[depth]]. | A '''point''' is a concept in [[Euclidean geometry]] without [[length]] or [[breadth]] or [[depth]]. | ||
A point is made up of no other parts. | A point is made up of no other parts. | ||
The extremities of a [[line]] are points. | The extremities of a [[line (geometry)|line]] are points. | ||
A [[line]] is made up of an infinite nimber of points. | A [[line (geometry)|line]] is made up of an infinite nimber of points. | ||
Any [[line]] can be completely defined by two distinct points. | Any [[line (geometry)|line]] can be completely defined by two distinct points. | ||
Any [[plane]] can be completely defined by three distinct points. | 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]] 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. | |||
[[Category: Mathematics Workgroup]] | [[Category: Mathematics Workgroup]] | ||
Revision as of 06:05, 4 March 2007
A point is a concept in Euclidean geometry without length or breadth or depth. A point is made up of no other parts. The extremities of a line are points. A line is made up of an infinite nimber 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.