generate 2-D plot object for an ellipse - Maple Help

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plottools[ellipse] - generate 2-D plot object for an ellipse

Calling Sequence

ellipse(c, a, b, filled=boolean, numpoints=n, options)

Parameters

c

-

center of the ellipse

a

-

horizontal radius of the ellipse

b

-

vertical radius of the ellipse

filled=boolean

-

(optional) whether to fill the inside of the ellipse, default=false

numpoints=n

-

(optional) number of points to generate, default=50

options

-

(optional) equations of the form option=value. For a complete list, see plot/options.

Description

• 

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) graphs the ellipse

xx02a2+yy02b2=1

• 

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.

Examples

withplottools:

withplots:

Draw an ellipse described by the following equation,

a:=2:b:=3:x0:=0:y0:=0:

elli:=ellipsex0,y0,a,b,filled=true,color=blue:

displayelli,scaling=constrained

which is equivalent (apart from the filled option) to:

eq:=xx02a2+yy02b2=1:

implicitploteq,x=4..4,y=4..4,scaling=constrained

Ellipse in arbitrary forms can be generated with object transformations like rotate in the plots package.

displayrotateelli,π4

See Also

plot/options, plot/structure, plots[display], plottools, plottools[ellipticArc]


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