Difference between revisions of "Hyperbola Command"

Revision as of 18:20, 13 June 2013

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: Condition: 0 < 2*semimajor axis length < Distance between the focus points
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

@@ Line 3: / Line 3: @@
 ; 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''.}}
-: {{Note| Condition: ''0 < 2*semimajor axis length < Distance of the focus points''}}
+: {{Note| Condition: ''0 < 2*semimajor axis length < Distance between the focus points''}}
 ; 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|1=Let a = Segment[(0,1), (2,1)]. <code><nowiki>Hyperbola[(4, 1), (-2, 1), a]</nowiki></code> yields '' -5x² + 4y² + 10x - 8y = -19 ''.}}