# Difference between revisions of "Curves"

From GeoGebra Manual

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− | <noinclude>{{Manual Page|version=5.0}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{objects|geometric}} |

− | {{objects|geometric}} | + | There are two types of curves in GeoGebra: |

− | There are two types of curves in GeoGebra | ||

==Parametric curves== | ==Parametric curves== | ||

Parametric curves of the form a(t) = (f(t), g(t)) where ''t'' is real parameter within certain range can be created using the [[Curve Command]]. They can be used in [[Tangent Command]], [[Point Command]] and [[Intersect Command]]. | Parametric curves of the form a(t) = (f(t), g(t)) where ''t'' is real parameter within certain range can be created using the [[Curve Command]]. They can be used in [[Tangent Command]], [[Point Command]] and [[Intersect Command]]. | ||

{{note|1=* Parametric curves can be used with pre-defined functions and arithmetic operations. For example, input <code>c(3)</code> returns the point at parameter position 3 on curve ''c''. | {{note|1=* Parametric curves can be used with pre-defined functions and arithmetic operations. For example, input <code>c(3)</code> returns the point at parameter position 3 on curve ''c''. | ||

− | * | + | * You can also place a point on a curve using tool [[File:Mode point.svg|link=|24px]] [[Point Tool|Point]] or command [[Point Command|Point]]. Since the endpoints ''a'' and ''b'' are dynamic you can use slider variables as well (see tool [[File:Mode slider.svg|link=|24px]] [[Slider Tool|Slider]]).}} |

Creating parametric curve going through given points is not possible. You can however try e.g. [[FitPoly Command]] to get a function going through these points. | Creating parametric curve going through given points is not possible. You can however try e.g. [[FitPoly Command]] to get a function going through these points. |

## Revision as of 13:11, 3 September 2015

There are two types of curves in GeoGebra:

## Parametric curves

Parametric curves of the form a(t) = (f(t), g(t)) where *t* is real parameter within certain range can be created using the Curve Command. They can be used in Tangent Command, Point Command and Intersect Command.

**Note:**

- Parametric curves can be used with pre-defined functions and arithmetic operations. For example, input
`c(3)`

returns the point at parameter position 3 on curve*c*. - You can also place a point on a curve using tool Point or command Point. Since the endpoints
*a*and*b*are dynamic you can use slider variables as well (see tool Slider).

Creating parametric curve going through given points is not possible. You can however try e.g. FitPoly Command to get a function going through these points.

## Implicit curves

Implicit curves are polynomials in variables *x* and *y*. The can be entered directly using the Input Bar.

**Example:**

`x^4 + y^3 = 2x*y`