Difference between revisions of "Conic Command"
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|conic}} |
− | {{command|conic}} | + | ; Conic( <Point>, <Point>, <Point>, <Point>, <Point> ) |
− | ; Conic | + | :Returns a conic section through the five given points. |
− | : Returns a conic section through the five given points | + | :{{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, then the conic section is not defined.}} |
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− | |||
− | {{Note| See also [[Conic through | + | ;Conic( <Number a>, <Number b>, <Number c>, <Number d>, <Number e>, <Number f> ) |
+ | :Returns a conic section <math>a\cdot x^2+d\cdot xy+b\cdot y^2+e\cdot x+f\cdot y=-c</math>. | ||
+ | :{{example|1=<code><nowiki>Conic(2, 3, -1, 4, 2, -3)</nowiki></code> yields '' 2x² + 4x y + 3y² + 2x - 3y = 1 ''.}} | ||
+ | |||
+ | ;Conic( <List> ) | ||
+ | :Returns a conic section <math>a\cdot x^2+d\cdot xy+b\cdot y^2+e\cdot x+f\cdot y=-c</math>. | ||
+ | :{{example|1=<code><nowiki>Conic({2, 3, -1, 4, 2, -3})</nowiki></code> yields '' 2x² + 4x y + 3y² + 2x - 3y = 1 ''.}} | ||
+ | |||
+ | {{Note| See also [[File:Mode conic5.svg|link=|24px]] [[Conic through 5 Points Tool|Conic through 5 Points]] tool and [[Coefficients Command|Coefficients]] command.}} |
Latest revision as of 14:37, 22 February 2021
- 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, then 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+d\cdot xy+b\cdot y^2+e\cdot x+f\cdot y=-c.
- Example:
Conic(2, 3, -1, 4, 2, -3)
yields 2x² + 4x y + 3y² + 2x - 3y = 1 .
- Conic( <List> )
- Returns a conic section a\cdot x^2+d\cdot xy+b\cdot y^2+e\cdot x+f\cdot y=-c.
- Example:
Conic({2, 3, -1, 4, 2, -3})
yields 2x² + 4x y + 3y² + 2x - 3y = 1 .
Note: See also Conic through 5 Points tool and Coefficients command.