Hyperbola Command

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 .