Ellipse Command
From GeoGebra Manual
Revision as of 09:55, 23 July 2015 by Markus.winkler (talk | contribs)
- 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 Ellipse tool .