Hyperbola Command
From GeoGebra Manual
Revision as of 15:41, 2 September 2015 by Markus.winkler (talk | contribs)
- Hyperbola[ <Focus>, <Focus>, <Semimajor Axis Length> ]
- Creates a hyperbola with given focus points and semimajor axis length.
- Example:
Hyperbola[(0, -4), (2, 4), 1]
yields -8xy - 15y² + 8y = -16.
- Note: If the condition: 0 < 2*semimajor axis length < Distance between the focus points isn't met, you will get an ellipse.
- Hyperbola[ <Focus>, <Focus>, <Segment> ]
- Creates a hyperbola with given focus points where the length of the semimajor axis equals the length of the segment.
- Example: Let
a = Segment[(0,1), (2,1)]
.Hyperbola[(4, 1), (-2, 1), a]
yields -5x² + 4y² + 10x - 8y = -19 .
- Hyperbola[ <Focus>, <Focus>, <Point> ]
- Creates a hyperbola with given focus points passing through a given point.
- Example:
Hyperbola[(1, 1), (2, 1), (-2,-4)]
yields -2.69x² + 1.30y² + 8.07x - 2.62y = 4.52 .
Note: See also Hyperbola tool .