Difference between revisions of "Ellipse Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{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=<code><nowiki>Ellipse((0, 1), (1, 1), 1)</nowiki></code> yields ''12x² + 16y² - 12x - 32y = -7''.}}
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: {{Note|1=If the condition: '' 2*semimajor axis length > Distance between the focus points'' isn't met, you will get an hyperbola.}}
  
'''Note:''' Also see tool [[Ellipse Tool|Ellipse]].
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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.
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:{{example|1=Let ''s = Segment((0,1), (2,1))'' : <code><nowiki>Ellipse((0, 1), (2, 1), s)</nowiki></code> yields ''3x² + 4y² - 6x - 8y = 5''.}}
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; Ellipse( <Focus>, <Focus>, <Point> )
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: Creates an ellipse with two focal points passing through a given point.
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:{{example|1=<code><nowiki>Ellipse((0, 1), (2, 1), (1,2))</nowiki></code> yields ''1x² + 2y² - 2x - 4y = -1''.}}
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{{Note| See also [[File:Mode ellipse3.svg|link=|24px]] [[Ellipse Tool|Ellipse]] tool .}}

Latest revision as of 15:32, 4 October 2017


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.
Note: If the condition: 2*semimajor axis length > Distance between the focus points isn't met, you will get an hyperbola.
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 Mode ellipse3.svg Ellipse tool .
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