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. | ||
− | + | : {{example|1=<code><nowiki>Ellipse[(0, 1), (1, 1), 1]</nowiki></code> yields ''12x² + 16y² - 12x - 32y = -7''.}} | |
− | :{{example|1= | + | : {{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= | + | :{{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= | + | :{{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 18:17, 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 Ellipse tool .