Difference between revisions of "Ellipse Command"

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; Ellipse[ <Focus>, <Focus>, <Semimajor Axis Length> ]  
 
; Ellipse[ <Focus>, <Focus>, <Semimajor Axis Length> ]  
 
: Creates an ellipse with two focal points and semimajor axis length.
 
: Creates an ellipse with two focal points and semimajor axis length.
: {{Note| Condition: '' 2*semimajor axis length > Distance of the focus points''}}
+
: {{example|1=<code><nowiki>Ellipse[(0, 1), (1, 1), 1]</nowiki></code> yields ''12x² + 16y² - 12x - 32y = -7''.}}
:{{example|1=<div><code><nowiki>Ellipse[(0, 1), (1, 1), 1]</nowiki></code> yields ''12x² + 16y² - 12x - 32y = -7''.</div>}}
+
: {{Note| Condition: '' 2*semimajor axis length > Distance between the focus points''}}  
 +
 
 
; Ellipse[ <Focus>, <Focus>, <Segment> ]  
 
; 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.
 
: 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>}}
+
:{{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''.}}
 
; Ellipse[ <Focus>, <Focus>, <Point> ]
 
; Ellipse[ <Focus>, <Focus>, <Point> ]
 
: Creates an ellipse with two focal points passing through a given point.
 
: Creates an ellipse with two focal points passing through a given point.
:{{example|1=<div><code><nowiki>Ellipse[(0, 1), (2, 1), (1,2)]</nowiki></code> yields ''1x² + 2y² - 2x - 4y = -1''.</div>}}
+
:{{example|1=<code><nowiki>Ellipse[(0, 1), (2, 1), (1,2)]</nowiki></code> yields ''1x² + 2y² - 2x - 4y = -1''.}}
 
{{Note| See also [[Image:Tool_Ellipse.gif]] [[Ellipse Tool|Ellipse]] tool .}}
 
{{Note| See also [[Image:Tool_Ellipse.gif]] [[Ellipse Tool|Ellipse]] tool .}}

Revision as of 17:17, 13 June 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.
Note: Condition: 2*semimajor axis length > Distance between the focus points
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 Tool Ellipse.gif Ellipse tool .
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