Difference between revisions of "Conic Command"

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; Conic[ <Point>, <Point>, <Point>, <Point>, <Point> ]
 
; Conic[ <Point>, <Point>, <Point>, <Point>, <Point> ]
 
:Returns a conic section through the five given points.
 
:Returns a conic section through the five given points.
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:{{example|1=<code><nowiki>Conic[(0, -4), (2, 4), (3,1), (-2,3), (-3,-1)]</nowiki></code> yields ''151x² - 37x y + 72y² + 14x - 42y = 1320 ''.}}
 
: {{Note| If four of the points lie on one line the conic section is not defined.}}
 
: {{Note| If four of the points lie on one line the conic section is not defined.}}
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;Conic[ <Number a>, <Number b>, <Number c>, <Number d>, <Number e>, <Number f> ]
 
;Conic[ <Number a>, <Number b>, <Number c>, <Number d>, <Number e>, <Number f> ]
 
:Returns a conic section <math>a\cdot x^2+b\cdot y^2+c+d\cdot x\cdot y+e\cdot x+f\cdot y=0</math>.
 
:Returns a conic section <math>a\cdot x^2+b\cdot y^2+c+d\cdot x\cdot y+e\cdot x+f\cdot y=0</math>.
 
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:{{example|1=<code><nowiki>Conic[2, 3, -1, 4, 2, 3]</nowiki></code> yields '' 2x² + 4x y + 3y² + 2x - 3y = 1 ''.}}
{{Note| See also [[Conic through Five Points Tool|Conic through Five Points]] tool and [[Coefficients Command]].}}
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{{Note| See also [[Image:Tool_Conic_5Points.gif]] [[Conic through Five Points Tool|Conic through Five Points]] tool and [[Coefficients Command|Coefficients]] command.}}

Revision as of 12:24, 13 June 2013



Conic[ <Point>, <Point>, <Point>, <Point>, <Point> ]
Returns a conic section through the five given points.
Example: Conic[(0, -4), (2, 4), (3,1), (-2,3), (-3,-1)] yields 151x² - 37x y + 72y² + 14x - 42y = 1320 .
Note: If four of the points lie on one line the conic section is not defined.
Conic[ <Number a>, <Number b>, <Number c>, <Number d>, <Number e>, <Number f> ]
Returns a conic section a\cdot x^2+b\cdot y^2+c+d\cdot x\cdot y+e\cdot x+f\cdot y=0.
Example: Conic[2, 3, -1, 4, 2, 3] yields 2x² + 4x y + 3y² + 2x - 3y = 1 .
Note: See also Tool Conic 5Points.gif Conic through Five Points tool and Coefficients command.
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