The ellipse command creates a two-dimensional plot data object, which when displayed is an ellipse centered at c with radial distances a and b, that is, ellipse([x0, y0], a, b) draws the ellipse

The super option given alone is equivalent to super=m (with m=4) which is equivalent to super=[m,m]. More generally ellipse([x0, y0], a, b, super=[m1,m2]) draws the superellipse (or generalized superellipse when $\mathrm{m1}\ne \mathrm{m2}$)

The plot data object produced by the ellipse command can be used in a PLOT data structure, or displayed using the plots[display] command.

Remaining arguments are interpreted as options, which are specified as equations of the form option = value. For more information, see plottools and plot/options.

$\mathrm{with}\left(\mathrm{plottools}\right)\:$

$\mathrm{with}\left(\mathrm{plots}\right)\:$

$a≔2\:$$b≔3\:$$\mathrm{x0}≔0\:$$\mathrm{y0}≔0\:$

$\mathrm{elli}≔\mathrm{ellipse}\left(\left[\mathrm{x0}\,\mathrm{y0}\right]\,a\,b\,\mathrm{filled}=\mathrm{true}\,\mathrm{color}=\mathrm{blue}\right)\:$

$\mathrm{display}\left(\mathrm{elli}\,\mathrm{scaling}=\mathrm{constrained}\right)$

$\mathrm{eq}≔\frac{{\left(x-\mathrm{x0}\right)}^2}{a^2}+\frac{{\left(y-\mathrm{y0}\right)}^2}{b^2}=1\:$

$\mathrm{implicitplot}\left(\mathrm{eq}\,x=-4..4\,y=-4..4\,\mathrm{scaling}=\mathrm{constrained}\right)$

$\mathrm{display}\left(\mathrm{rotate}\left(\mathrm{elli}\,\frac{\mathrm{\pi }}{4}\right)\right)$

$\mathrm{display}\left(\mathrm{ellipse}\left(\mathrm{super}\right)\,\mathrm{scaling}=\mathrm{constrained}\right)$

$\mathrm{ms}≔\left[\frac{1}{3}\,\frac{1}{2}\,\frac{2}{3}\,1\,\frac{3}{2}\,2\,3\,5\right]$

$\mathrm{ms}≔\left[\frac{1}{3}\,\frac{1}{2}\,\frac{2}{3}\,1\,\frac{3}{2}\,2\,3\,5\right]$

$\mathrm{display}\left(\mathrm{seq}\left(\mathrm{ellipse}\left(\mathrm{super}=\mathrm{ms}\left[i\right]\,\mathrm{legend}=\mathrm{cat}\left(''m=''\,\mathrm{ms}\left[i\right]\right)\,\mathrm{color}=''Niagara''\Vert i\right)\,i=1..\mathrm{nops}\left(\mathrm{ms}\right)\right)\,\mathrm{scaling}=\mathrm{constrained}\right)$

$\mathrm{display}\left(\mathrm{ellipse}\left(\mathrm{super}=\left[\frac{1}{5}\,3\right]\,\mathrm{color}=''DarkRed''\right)\,\mathrm{ellipse}\left(\mathrm{super}=\left[2\,5\right]\,\mathrm{color}=''DarkBlue''\right)\,\mathrm{scaling}=\mathrm{constrained}\right)$

The plottools[ellipse] command was updated in Maple 2019.

The super option was introduced in Maple 2019.

For more information on Maple 2019 changes, see Updates in Maple 2019.