Curve - Revision history

Karl Jones at 12:21, 16 September 2016

2016-09-16T12:21:26Z

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2016-09-16T12:21:02Z

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Karl Jones: /* See also */

2016-05-23T00:22:35Z

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Karl Jones at 16:37, 28 April 2016

2016-04-28T16:37:17Z

Karl Jones: /* See also */

2016-04-28T16:35:12Z

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Karl Jones: /* External links */

2016-04-26T13:47:45Z

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Karl Jones: /* External links */

2016-04-22T21:18:14Z

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Karl Jones: /* See also */

2016-03-01T01:22:52Z

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Karl Jones: Created page with "In mathematics, a '''curve''' (also called a '''curved line''' in older texts) is, generally speaking, an object similar to a line but that need not be straight. Thus, a..."

2016-01-26T17:24:35Z

Created page with "In mathematics, a '''curve''' (also called a '''curved line''' in older texts) is, generally speaking, an object similar to a line but that need not be straight. Thus, a..."

New page

In [[mathematics]], a '''curve''' (also called a '''curved line''' in older texts) is, generally speaking, an object similar to a line but that need not be straight.

Thus, a [[line]] is a special case of curve null curvature.

== Description ==

A curve is a topological space which is locally homeomorphic to a line.

In everyday language, this means that a curve is a set of points which, near each of its points, looks like a line, up to a deformation. A simple example of a curve is the parabola, shown to the right. A large number of other curves have been studied in multiple mathematical fields.

== Meanings in various disciplines ==

Various disciplines within mathematics have given the term ''curve'' different meanings depending on the area of study, so the precise meaning depends on context.

However, many of these meanings are special instances of the definition above.

== Closed curves ==

A closed curve is a curve that forms a path whose starting point is also its ending point -- that is, a path from any of its points to the same point.

== Related meanings ==

Closely related meanings include the graph of a function (as in Phillips curve) and a two-dimensional graph.

== See also ==

* [[Bézier curve]]
* [[Mathematics]]

== External links ==

* [https://en.wikipedia.org/wiki/Curve Curve] @ Wikipedia

@@ Line 25: / Line 25: @@
 == See also ==
-* [Algebraic curve]]
+* [[Algebraic curve]]
 * [[Bézier curve]]
 * [[Coordinate curve]]

@@ Line 25: / Line 25: @@
 == See also ==
 * [[Bézier curve]]
 * [[Graph of a function]]
 * [[Line (geometry)]]
 * [[Mathematics]]
 * [[Parametric equation]]
 * [[Pearls of Sluze]]
 * [[Phillips curve]]
 * [[Vertex (geometry)]]

@@ Line 30: / Line 30: @@
 * [[Mathematics]]
 * [[Parametric equation]]
 * [[Phillips curve]]
 * [[Vertex (geometry)]]

← Older revision		Revision as of 13:47, 26 April 2016
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	[[Category:Curves]]		[[Category:Curves]]
		+	[[Category:Geometry]]
	[[Category:Mathematics]]		[[Category:Mathematics]]

← Older revision		Revision as of 21:18, 22 April 2016
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	* [https://en.wikipedia.org/wiki/Curve Curve] @ Wikipedia		* [https://en.wikipedia.org/wiki/Curve Curve] @ Wikipedia
		+
		+	[[Category:Curves]]
		+	[[Category:Mathematics]]

@@ Line 1: / Line 1: @@
-In [[mathematics]], a '''curve''' (also called a '''curved line''' in older texts) is, generally speaking, an object similar to a line but that need not be straight.
+In [[mathematics]], a '''curve''' (also called a '''curved line''' in older texts) is, generally speaking, an object similar to a [[Line (geometry)|line]] but that need not be straight.
-Thus, a [[line]] is a special case of curve null curvature.
+Thus, a [[Line (geometry)|line]] is a special case of curve null curvature.
 == Description ==
@@ Line 21: / Line 21: @@
 == Related meanings ==
-Closely related meanings include the graph of a function (as in Phillips curve) and a two-dimensional graph.
+Closely related meanings include the [[graph of a function]] (as in [[Phillips curve]]) and a two-dimensional graph.
 == See also ==
 * [[Bézier curve]]
 * [[Mathematics]]
 * [[Parametric equation]]
 * [[Vertex (geometry)]]

@@ Line 27: / Line 27: @@
 * [[Bézier curve]]
 * [[Mathematics]]
 == External links ==
 * [https://en.wikipedia.org/wiki/Curve Curve] @ Wikipedia