Difference between revisions of "Intersect Command"

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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 
{{command|cas=true|geometry}}
 
{{command|cas=true|geometry}}
; Intersect[Line g, Line h]: Yields the intersection point of lines ''g'' and ''h''.
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; Intersect[<Line g>, <Line h>]: Yields the intersection point of lines ''g'' and ''h''.
; Intersect[Line, Conic]: Yields all intersection points of the line and conic section (max. 2).
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; Intersect[<Line>, <Conic>]: Yields all intersection points of the line and conic section (max. 2).
; Intersect[Line, Conic, Number n]: Yields the ''n''<sup>th</sup> intersection point of the line and the conic section.
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; Intersect[<Line>, <Conic>, <Number n>]: Yields the ''n''<sup>th</sup> intersection point of the line and the conic section.
; Intersect[Conic c1, Conic c2]: Yields all intersection points of conic sections ''c1'' and ''c2'' (max. 4).
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; Intersect[<Conic c1>, <Conic c2>]: Yields all intersection points of conic sections ''c1'' and ''c2'' (max. 4).
; Intersect[Conic c1, Conic c2, Number n]: Yields the ''n''<sup>th</sup> intersection point of conic sections ''c1'' and ''c2''.
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; Intersect[<Conic c1>, <Conic c2>, <Number n>]: Yields the ''n''<sup>th</sup> intersection point of conic sections ''c1'' and ''c2''.
; Intersect[Polynomial f1, Polynomial f2]: Yields all intersection points of polynomials ''f1'' and ''f2''.
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; Intersect[<Polynomial f1>, <Polynomial f2>]: Yields all intersection points of polynomials ''f1'' and ''f2''.
; Intersect[Polynomial f1, Polynomial f2, Number n]: Yields the ''n''<sup>th</sup> intersection point of polynomials ''f1'' and ''f2''.
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; Intersect[<Polynomial f1>, <Polynomial f2>, <Number n>]: Yields the ''n''<sup>th</sup> intersection point of polynomials ''f1'' and ''f2''.
; Intersect[Polynomial, Line]: Yields all intersection points of the polynomial and the line.
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; Intersect[<Polynomial>, <Line>]: Yields all intersection points of the polynomial and the line.
; Intersect[Polynomial, Line, Number n]: Yields the ''n''<sup>th</sup> intersection point of the polynomial and the line.
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; Intersect[<Polynomial>,< Line>, <Number n>]: Yields the ''n''<sup>th</sup> intersection point of the polynomial and the line.
; Intersect[Function f, Function g, Point A]: Calculates the intersection point of functions ''f'' and ''g'' by using Newton's method with initial point ''A''.
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; Intersect[<Function f>, <Function g>, <Point A>]: Calculates the intersection point of functions ''f'' and ''g'' by using Newton's method with initial point ''A''.
; Intersect[Function, Line, Point A]: Calculates the intersection point of the function and the line by using Newton's method with initial point ''A''.
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; Intersect[<Function>, <Line>, <Point A>]: Calculates the intersection point of the function and the line by using Newton's method with initial point ''A''.
;Intersect[Function f, Function g, left-x, right-x]
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;Intersect[<Function f>, <Function g>, <left-x>, <right-x>]
 
:Calculates the intersection points for the two functions in the given interval.  
 
:Calculates the intersection points for the two functions in the given interval.  
 
{{Note| Also see tool [[Image:Tool Intersect Two Objects.gif]] [[Intersect Two Objects Tool|Intersect Two Objects]].}}
 
{{Note| Also see tool [[Image:Tool Intersect Two Objects.gif]] [[Intersect Two Objects Tool|Intersect Two Objects]].}}
  
 
{{betamanual|version=4.2|
 
{{betamanual|version=4.2|
;Intersect[ <Line>, <Parametric Curve>]: Yields the intersection point of a line and a [[Curves|parametric curve]].
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;Intersect[ <Line>, <Parametric Curve>]: Yields the intersection points of a line and a [[Curves|parametric curve]].
 
:{{example|1=<code>Intersect[y = x + 3, Curve[t, 2t, t, 0, 10]]</code> yields ''A(3,6)''}}}}
 
:{{example|1=<code>Intersect[y = x + 3, Curve[t, 2t, t, 0, 10]]</code> yields ''A(3,6)''}}}}
  

Revision as of 13:46, 10 July 2012


Intersect[<Line g>, <Line h>]
Yields the intersection point of lines g and h.
Intersect[<Line>, <Conic>]
Yields all intersection points of the line and conic section (max. 2).
Intersect[<Line>, <Conic>, <Number n>]
Yields the nth intersection point of the line and the conic section.
Intersect[<Conic c1>, <Conic c2>]
Yields all intersection points of conic sections c1 and c2 (max. 4).
Intersect[<Conic c1>, <Conic c2>, <Number n>]
Yields the nth intersection point of conic sections c1 and c2.
Intersect[<Polynomial f1>, <Polynomial f2>]
Yields all intersection points of polynomials f1 and f2.
Intersect[<Polynomial f1>, <Polynomial f2>, <Number n>]
Yields the nth intersection point of polynomials f1 and f2.
Intersect[<Polynomial>, <Line>]
Yields all intersection points of the polynomial and the line.
Intersect[<Polynomial>,< Line>, <Number n>]
Yields the nth intersection point of the polynomial and the line.
Intersect[<Function f>, <Function g>, <Point A>]
Calculates the intersection point of functions f and g by using Newton's method with initial point A.
Intersect[<Function>, <Line>, <Point A>]
Calculates the intersection point of the function and the line by using Newton's method with initial point A.
Intersect[<Function f>, <Function g>, <left-x>, <right-x>]
Calculates the intersection points for the two functions in the given interval.
Note: Also see tool Tool Intersect Two Objects.gif Intersect Two Objects.


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