Difference between revisions of "Hyperbola Command"
From GeoGebra Manual
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; Hyperbola[ <Focus>, <Focus>, <Semimajor Axis Length> ]: Creates a hyperbola with given focus points and semimajor axis length. | ; Hyperbola[ <Focus>, <Focus>, <Semimajor Axis Length> ]: Creates a hyperbola with given focus points and semimajor axis length. | ||
:{{example|1=<code><nowiki>Hyperbola[(0, -4), (2, 4), 1]</nowiki></code> yields ''-8xy - 15y² + 8y = -16''.}} | :{{example|1=<code><nowiki>Hyperbola[(0, -4), (2, 4), 1]</nowiki></code> yields ''-8xy - 15y² + 8y = -16''.}} | ||
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; Hyperbola[ <Focus>, <Focus>, <Point> ]: Creates a hyperbola with given focus points passing through a given point. | ; Hyperbola[ <Focus>, <Focus>, <Point> ]: Creates a hyperbola with given focus points passing through a given point. | ||
:{{example|1=<code><nowiki>Hyperbola[(1, 1), (2, 1), (-2,-4)]</nowiki></code> yields '' -2.69x² + 1.30y² + 8.07x - 2.62y = 4.52 ''.}} | :{{example|1=<code><nowiki>Hyperbola[(1, 1), (2, 1), (-2,-4)]</nowiki></code> yields '' -2.69x² + 1.30y² + 8.07x - 2.62y = 4.52 ''.}} | ||
| − | {{Note| See also [[ | + | {{Note| See also [[File:Mode hyperbola3.svg|link=|24px]] [[Hyperbola Tool|Hyperbola]] tool .}} |
Revision as of 11:46, 5 August 2015
- 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 .
Hyperbola tool .
