# Help:Sandbox

From GeoGebra Manual

- Circle( <Point>, <Radius Number> )
- Yields a circle with given center and radius.
- Circle( <Point>, <Segment> )
- Yields a circle with given center and radius equal to the length of the given segment.
- Circle( <Point>, <Point> )
- Yields a circle with given center through a given point.
- Circle( <Point>, <Point>, <Point> )
- Yields a circle through the three given points (if they do not lie on the same line).

- Line( <Point>, <Point> )
- Creates a line through two points
*A*and*B*. - Line( <Point>, <Parallel Line> )
- Creates a line through the given point parallel to the given line.
- Line( <Point>, <Direction Vector> )
- Creates a line through the given point with direction vector
*v*.

**Note:**See also Line and Parallel Line tools.

- PerpendicularLine( <Point>, <Line> )
- Creates a line through the point perpendicular to the given line.
**Example:**Let`c: -3x + 4y = -6`

be a line and`A = (-2, -3)`

a point.`PerpendicularLine(A, c)`

yields the line*d*: -4*x*- 3*y*= 17.

**Note:**For 3D objects a third argument is added to this command to specify the behavior: if 2D view is active, plane*z=0*is used as third argument, if 3D view is active,*space*is used instead. See PerpendicularLine( <Point>, <Line>, <Context> ) further below for details.- PerpendicularLine( <Point>, <Segment> )
- Creates a line through the point perpendicular to the given segment.
**Example:**Let*c*be the segment between the two points*A*= (-3, 3) and*B*= (0, 1).`PerpendicularLine(A, c)`

yields the line*d: -3x + 2y = 15*.

- PerpendicularLine( <Point>, <Vector> )
- Creates a line through the point perpendicular to the given vector.
**Example:**Let`u = Vector((5, 3), (1, 1))`

and`A = (-2, 0)`

a point.`PerpendicularLine(A, u)`

yields the line*c: 2x + y = -4*.

- PerpendicularLine( <Point>, <Plane> )
- Creates a perpendicular line to the plane through the given point.
- PerpendicularLine( <Line> , <Line> )
- Creates a perpendicular line to the given lines through the intersection point of the two lines.
- PerpendicularLine( <Point>, <Direction>, <Direction> )
- Creates a perpendicular line to the given directions (that can be lines or vectors) through the given point.
- PerpendicularLine( <Point>, <Line>, <Context> )
- Creates a perpendicular line to the line through the point and depending on the context.
- PerpendicularLine( <Point>, <Line>, <Plane> ) creates a perpendicular line to the given line through the point and parallel to the plane.
- PerpendicularLine( <Point>, <Line>, space ) creates a perpendicular line to the given line through the point. The two lines have an intersection point. This command yields undefined if the point is on the line in 3D.

**Note:**See also Perpendicular Line tool.

- Point( <Object> )
- Returns a point on the geometric object. The resulting point can be moved along the path.
- Point( <Object>, <Parameter> )
- Returns a point on the geometric object with given path parameter.
- Point( <Point>, <Vector> )
- Creates a new point by adding the vector to the given point.
- Point( <List> )
- Converts a list containing two numbers into a Point.
**Example:**`Point({1, 2})`

yields*(1, 2)*.

**Note:**See also Point tool.

- Vector( <Point> )
- Returns the position vec
**Bold text**tor of the given point. **Example:**`Vector((3, 2))`

yields*u = \begin{pmatrix}3\\2\end{pmatrix}*.

- Vector( <Start Point>, <End Point> )
- Creates a vector from
*Start Point*to*End Point*. **Example:**`Vector((1, 1), (3, 4))`

yields*u = \begin{pmatrix}2\\3\end{pmatrix}*.

**Note:**See also Vector tool.

- Vector from Point tool
- Select a point
*A*and a vector*v*to create the new point*B = A + v*as well as the vector from*A*to*B*. **Note:**See also Vector command.