Difference between revisions of "Hyperbola Command"

Latest revision as of 16:33, 4 October 2017

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 .

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-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|conic}}
-{{command|conic}}
+; Hyperbola( <Focus>, <Focus>, <Semimajor Axis Length> ): Creates a hyperbola with given focus points and semimajor axis length.
-; Hyperbola[Point F, Point G, Number a]: Creates a hyperbola with focal points ''F'' and ''G'' and semimajor axis length ''a''.
+:{{example|1=<code><nowiki>Hyperbola((0, -4), (2, 4), 1)</nowiki></code> yields ''-8xy - 15y² + 8y = -16''.}}
-: {{Note| Condition: ''0 < 2a < Distance[F, G]''}}
+: {{Note|1= 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.
-; Hyperbola[Point F, Point G, Segment s]: Creates a hyperbola with focal points ''F'' and ''G'' where the length of the semimajor axis equals the length of segment ''s''.
+:{{example|1=Let <code><nowiki>a = Segment((0,1), (2,1))</nowiki></code>. <code><nowiki>Hyperbola((4, 1), (-2, 1), a)</nowiki></code> yields '' -5x² + 4y² + 10x - 8y = -19 ''.}}
+; Hyperbola( <Focus>, <Focus>, <Point> ): Creates a hyperbola with given focus points passing through a given point.
-; Hyperbola[Point F, Point G, Point A]: Creates a hyperbola with foci ''F'' and ''G'' passing through point ''A''.
+:{{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 [[File:Mode hyperbola3.svg|link=|24px]] [[Hyperbola Tool|Hyperbola]] tool .}}
-{{Note| See also [[Hyperbola Tool|Hyperbola]] tool .}}

Difference between revisions of "Hyperbola Command"

Latest revision as of 16:33, 4 October 2017

Hyperbola

Command Categories (All commands)