Difference between revisions of "Curves"

From GeoGebra Manual
Jump to: navigation, search
m (Text replace - "<div class="box info"> 48px|left This page is part of the official manual for print and pdf. For structural reasons normal users can't edit this page. If you found any errors on this page please contact )
m (Updated tool names)
Line 6: Line 6:
  
 
{{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''.  
* Using the mouse you can also place a point on a curve using tool [[Image:Tool New Point.gif]] [[New Point Tool|New Point]] or command [[Point Command|Point]]. Since the endpoints ''a'' and ''b'' are dynamic you can use slider variables as well (see tool [[Image:Tool Slider.gif]] [[Slider Tool|Slider]]).}}
+
* Using the mouse you can also place a point on a curve using tool [[Image:Tool New Point.gif]] [[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 [[Image:Tool Slider.gif]] [[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 00:55, 27 November 2013



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 (GeoGebra 4.2).

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.
  • Using the mouse you can also place a point on a curve using tool Tool New Point.gif Point or command Point. Since the endpoints a and b are dynamic you can use slider variables as well (see tool Tool Slider.gif 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
© 2021 International GeoGebra Institute