Line

Line through two points

Marking two points A and B fixes a straight line through A and B. The line's direction vector is (B-A).

Parallel line

Marking a line g and a point A defines a straight line through A parallel to g. The line's direction is the direction of g.

Perpendicular line

Marking a line g and a point A yields a straight line through A perpendicular to g. The line's direction is equivalent to the perpendicular vector (4.3.5) of g.

Line bisector

The line bisector of a line segment is stated by a segment s or two points A and B. The line's direction is equivalent to the perpendicular vector (4.3.5) of the segment s resp. AB.

Angular bisector

Angular bisectors can be defined in two ways.

1. Marking three points A, B, C produces the angular bisector of the enclosed angle, where B is the apex.

2. Marking two lines produces their two angular bisectors.

The direction vectors of all angular bisectors have length 1.

Tangents

The tangents to a conic can be produced in two ways:

1. Marking a point A and a conic c produces all tangents through A to c.

2. Marking a line g and a conic c produces all tangents to c that are parallel to g.

Marking a point A and a function f produces the tangent line to f in x=x(A).

Polar or diameter line

This mode creates the polar resp. diameter line of a conic section:

1. Mark a point and a conic section two get the polar line.

2. Mark a line or a vector and a conic section two get the diameter line.