Difference between revisions of "Intersect Command"
From GeoGebra Manual
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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''. | + | ; 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>]: 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. | + | ; 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). | + | ; 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''. | + | ; 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''. | + | ; 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''. | + | ; 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. | + | ; 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. | + | ; 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''. | + | ; 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>, <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] | + | ;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 | + | ;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 12:46, 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 Intersect Two Objects.
Following text is about a feature that is supported only in GeoGebra 4.2.
|
Following text is about a feature that is supported only in GeoGebra 5.0.
Note: From GeoGebra 5, this command will work with 3D objects as well |