GeoGebra supports the following types of 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.
- 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.
In order to draw a curve defined using polar coordinates, it is possible to use one of the following (equivalent) syntaxes:
ρ =sin(2 θ), or
sin(2 θ), or
f(t)=(sin(2*t); t), or
(sin(2*t); t), or
f(t)=(sin(2*t); t), 0< t < pi, or
(sin(2*t); t), 0 < t < pi, or
Curve[(sin(2*t); t), t, 0, 2pi].
x^4 + y^3 = 2xy