Difference between revisions of "Ellipse Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|conic}}
 
{{command|conic}}
; Ellipse[Point F, Point G, Number a] : Creates an ellipse with focal points ''F'' and ''G'' and semimajor axis length ''a''.
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; Ellipse[ <Focus>, <Focus>, <Semimajor Axis Length> ]  
; Ellipse[Point F, Point G, Segment] : Creates an ellipse with focal points ''F'' and ''G'' where the length of the semimajor axis equals the length of the given segment.
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: Creates an ellipse with two focal points and semimajor axis length.
; Ellipse[Point F, Point G, Point A]: Creates an ellipse with foci ''F'' and ''G'' passing through point ''A''.
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:{{example|1=<div><code><nowiki>Ellipse[(0, 1), (1, 1), 1]</nowiki></code> yields ''12x² + 16y² - 12x - 32y = -7''.</div>}}
 
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; Ellipse[ <Focus>, <Focus>, <Segment> ]  
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: Creates an ellipse with two focal points, where the length of the semimajor axis equals the length of the given segment.
 +
:{{example|1=<div>Let ''s = Segment[(0,1), (2,1)]''. <div><code><nowiki>Ellipse[(0, 1), (2, 1), s]</nowiki></code> yields ''3x² + 4y² - 6x - 8y = 5''.</div></div>}}
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; Ellipse[ <Focus>, <Focus>, <Point> ]
 +
: Creates an ellipse with two focal points passing through a given point.
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:{{example|1=<div><code><nowiki>Ellipse[(0, 1), (2, 1), (1,2)]</nowiki></code> yields ''1x² + 2y² - 2x - 4y = -1''.</div>}}
 
{{Note| See also [[Ellipse Tool|Ellipse]] tool .}}
 
{{Note| See also [[Ellipse Tool|Ellipse]] tool .}}

Revision as of 11:52, 21 May 2013



Ellipse[ <Focus>, <Focus>, <Semimajor Axis Length> ]
Creates an ellipse with two focal points and semimajor axis length.
Example:
Ellipse[(0, 1), (1, 1), 1] yields 12x² + 16y² - 12x - 32y = -7.
Ellipse[ <Focus>, <Focus>, <Segment> ]
Creates an ellipse with two focal points, where the length of the semimajor axis equals the length of the given segment.
Example:
Let s = Segment[(0,1), (2,1)].
Ellipse[(0, 1), (2, 1), s] yields 3x² + 4y² - 6x - 8y = 5.
Ellipse[ <Focus>, <Focus>, <Point> ]
Creates an ellipse with two focal points passing through a given point.
Example:
Ellipse[(0, 1), (2, 1), (1,2)] yields 1x² + 2y² - 2x - 4y = -1.
Note: See also Ellipse tool .
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