Intersect Command

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 n^th 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 n^th 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 n^th 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 n^th 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.

Note: Also see tool Intersect Two Objects.

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)