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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: -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.

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 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}.

Note: See also Vector 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.