Surface (geometry): Difference between revisions
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imported>Aleksander Stos m (link) |
imported>Catherine Woodgold (Adding examples, and allowing curved lines) |
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A '''surface''' is a concept in [[Euclidean geometry]] that has [[length]] and [[breadth]] but no [[depth]]. | A '''surface''' is a concept in [[Euclidean geometry]] that has [[length]] and [[breadth]] but no [[depth]]. Any set of points which is topologically equivalent to a subset of a plane is a surface: this includes curved surfaces such as a paraboloid, infinite surfaces such as a plane, surfaces of limited extent such as the interior of a polygon, and surfaces with strange topology such as an infinitely long row of squares each separated by some distance, or the set of all points with rational coordinates in a plane. A surface is made up of an [[infinite]] number of [[line (geometry)|lines]] or curves (curved lines). | ||
A surface is made up of an [[infinite]] number of [[line (geometry)|lines]]. | |||
The extremities of a [[solid (geometry)|solid]] are made up of surfaces. | The extremities of a [[solid (geometry)|solid]] are made up of surfaces. | ||
Revision as of 07:34, 11 May 2007
A surface is a concept in Euclidean geometry that has length and breadth but no depth. Any set of points which is topologically equivalent to a subset of a plane is a surface: this includes curved surfaces such as a paraboloid, infinite surfaces such as a plane, surfaces of limited extent such as the interior of a polygon, and surfaces with strange topology such as an infinitely long row of squares each separated by some distance, or the set of all points with rational coordinates in a plane. A surface is made up of an infinite number of lines or curves (curved lines). The extremities of a solid are made up of surfaces.