# Help:Sandbox

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.
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: -4x - 3y = 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.
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).
Vector( <Point> )
Returns the position vecBold texttor 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}.