Difference between revisions of "Intersect Command"

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; Intersect[ <Plane> , <Object> ]: Creates the intersection point of a plane and segment, polygon, etc  
 
; Intersect[ <Plane> , <Object> ]: Creates the intersection point of a plane and segment, polygon, etc  
 
; Intersect[<Plane>, <Plane>]: Creates the intersection line of two planes
 
; Intersect[<Plane>, <Plane>]: Creates the intersection line of two planes
;Intersect[ <Plane>, <Polyhedron> ]: Creates the polygon(s) intersection of plane and polyhedron  
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; Intersect[ <Plane>, <Polyhedron> ]: Creates the polygon(s) intersection of plane and polyhedron  
 
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; Intersect[ <Sphere>, <Sphere> ]: Creates the circle intersection of two spheres
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; Intersect[ <Plane>, <Quadric> ]: Creates the conic intersection of the plane and the quadric (sphere, cone, cylinder, ...)
 
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Revision as of 11:09, 20 May 2013



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 a (numerical) iterative method with initial point A.
Intersect[<Function>, <Line>, <Point A>]
Calculates the intersection point of the function and the line by using a (numerical) iterative 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.
Intersect[ <Line>, <Parametric Curve>]
Yields the intersection points of a line and a parametric curve.
Example: Intersect[y = x + 3, Curve[t, 2t, t, 0, 10]] yields A(3,6)
Note: See also Tool Intersect Two Objects.gif Intersect Two Objects tool.
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