Example 1: An Ellipse

Parametric curve for an ellipse

> x := 2*cos(t);

> y := 5*sin(t);

> PARAM := t = 0..2*Pi;

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Plot of curve

> plot( [x,y, PARAM], scaling=constrained );

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Two different animated plots of the curve. Note that the first one does NOT look like the ellipse we expect!

> animatecurve( [x,y, PARAM] );

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> animatecurve( [x,y, PARAM], scaling=constrained, frames=25, numpoints=100 );

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Animated plot of the curve with animated velocity and acceleration vectors

> animatemotion( x, y, PARAM, frames=18, numpoints=100 ); # default scene is [R,V,A]

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Animated plot with position (R), unit tangent (T), and unit normal (N) vectors:

> animatemotion( -x, -y, PARAM, scene=[R,T,N], frames=18, numpoints=100 );

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Animated plot with osculating circle (kappa):

> animatemotion( x, y, PARAM, scene=[kappa], frames=18, numpoints=100 );

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