Curves
From GeoGebra Manual
Revision as of 12:39, 25 October 2015 by Mathmum (talk | contribs) (→Parametric curves: added new syntax and related commands)
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 a certain range can be created:
- using the Curve Command or
- by typing their expression directly in the input bar, e.g.
(t^2,t^3)
.
Parametric curves can be used as arguments in the following commands: Tangent, Point, Intersect, Derivative, Length, Curvature, CurvatureVector and OsculatingCircle.
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 a parametric curve through some 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