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The Maxima on-line user's manual

Algebra Calculator

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Parametric Calculator

Parametric

-- Graphic object: parametric (<xfun>,<yfun>,<par>,<parmin>,<parmax>) -- Graphic object: parametric (<xfun>,<yfun>,<zfun>,<par>,<parmin>,<parmax>) Draws parametric functions in 2D and 3D.

This object is affected by the following graphic options: nticks, line_width, line_type, key, color and enhanced3d.

r(t) := [10*cos(t),2*sin(t),t];
r(4);
float(r(4));
load(draw);
draw3d(color=magenta,parametric(-cos(t), sin(t),cos(t), t,-4, 4));
define(rp(t), diff(r(t), t));
float(rp(1));
load(eigen);
uvect(rp(t));
trigsimp(rp(t));
define(T(t), trigsimp(rp(t)));
define(Tp(t), diff(T(t), t));

2D

parametric (<xfun>,<yfun>,<par>,<parmin>,<parmax>) plots parametric function [<xfun>,<yfun>], with parameter <par> taking values from <parmin> to <parmax>.

Example:

          (%i1) load(draw)$
          (%i2) draw2d(explicit(exp(x),x,-1,3),
                       color = red,
                       key   = "This is the parametric one!!",
                       parametric(2*cos(rrr),rrr^2,rrr,0,2*%pi))$

3D

parametric (<xfun>,<yfun>,<zfun>,<par>,<parmin>,<parmax>) plots parametric curve [<xfun>,<yfun>,<zfun>], with parameter <par> taking values from <parmin> to <parmax>.

Example:

          (%i1) load(draw)$
          (%i2) draw3d(explicit(exp(sin(x)+cos(x^2)),x,-3,3,y,-3,3),
                       color = royalblue,
                       parametric(cos(5*u)^2,sin(7*u),u-2,u,0,2),
                       color      = turquoise,
                       line_width = 2,
                       parametric(t^2,sin(t),2+t,t,0,2),
                       surface_hide = true,
                       title = "Surface & curves" )$

There are also some inexact matches for parametric. Try ?? parametric to see them.

(%o1)                                true
(%i2) 

Parametric Example

Related Examples

parametric

parametric(t^2+t,t^2-...

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parametric

parametric(t^2+t,t^2-t);

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parametric-plot2d-sin
plot2d([sin(x),sin(x*sin(x)), [parametric(t*sin(t), -t, t, 0, 10)]], [x, -15, 15], [y, -15, 15]);

plot2d([sin(x),sin(x*...

Calculate

parametric-plot2d-sin
plot2d([sin(x),sin(x*sin(x)), [parametric(t*sin(t), -t, t, 0, 10)]], [x, -15, 15], [y, -15, 15]);

plot2d([sin(x),sin(x*...

plot2d([sin(x),x*sin(...

Calculate

parametric

parametric(t^2+t,t^2-t);

Calculate

parametric-pi-sin

parametric(sin(3*t),s...

Calculate

parametric

parametric(t^2+t,t^2-t);

Calculate

parametric-pi-sin

parametric(sin(3*t),s...

Calculate

parametric-plot2d-sin
plot2d([sin(x),sin(x*sin(x)), [parametric(t*sin(t), -t)]], [t, 0, 10],[x, -15, 15], [y, -15, 15]);

plot2d([sin(x),sin(x*...

Calculate

parametric

parametric(t^2+t,t^2-t);

Calculate