# Intersect Command

From GeoGebra Manual

- 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)*

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 |