Line (Euclidean geometry): Difference between revisions

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imported>Aleksander Stos
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imported>Jitse Niesen
(clear up confusion regarding "straight lines")
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A '''line''' is a concept in [[Euclidean geometry]] that has [[length]] but no [[breadth]] or [[depth]].  
A '''line''' is a concept in [[Euclidean geometry]] that has [[length]] but no [[breadth]] or [[depth]]. A line is made up of an [[infinite]] number of [[point (geometry)|points]]. Lines in Euclidean geometry are by definition straight, meaning that they define the shortest route between two points on the line. Curved lines are called [[curve]]s.  
A line is made up of an [[infinite]] number of [[point (geometry)|points]].
The extremities of a [[surface (geometry)|surface]] are made up of lines.
A [[straight line (geometry)|straight line]] is made up of [[point (geometry)|points]] such that any line segment linking any two of the points cannot be shorter than the [[length]] of the [[straight line (geometry)|straight line]] segment that links the two points.
 




[[Category: Mathematics Workgroup]]
[[Category: Mathematics Workgroup]]
[[Category: CZ Live]]
[[Category: CZ Live]]

Revision as of 14:49, 28 March 2007

A line is a concept in Euclidean geometry that has length but no breadth or depth. A line is made up of an infinite number of points. Lines in Euclidean geometry are by definition straight, meaning that they define the shortest route between two points on the line. Curved lines are called curves.

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