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=<div><code><nowiki>Ellipse[(0, 1), (1, 1), 1]</nowiki></code> yields ''12x² + 16y² - 12x - 32y = -7''.</div>}} | :{{example|1=<div><code><nowiki>Ellipse[(0, 1), (1, 1), 1]</nowiki></code> yields ''12x² + 16y² - 12x - 32y = -7''.</div>}} | ||
; Ellipse[ <Focus>, <Focus>, <Segment> ] | ; Ellipse[ <Focus>, <Focus>, <Segment> ] |
Revision as of 13:19, 13 June 2013
- Ellipse[ <Focus>, <Focus>, <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:
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 .