Angle bisectors can be defined in two ways (also see command AngleBisector):
· Selecting three points A, B, and C produces the angle bisector of the enclosed angle, where point B is the apex.
· Selecting two lines produces their two angle bisectors.
Note: The direction vectors of all angle bisectors have length 1.
Create the best fit line for a set of points in the following ways (also see command FitLine):
· Create a selection rectangle that contains all points.
· Select a list of points to create their corresponding best fit line.
Selecting two points A and B creates a straight line through A and B (also see command Line).
Note: The line’s direction vector is (B - A).
Selecting a line g and a point A defines a straight line through A parallel to g (also see command Line).
Note: The line’s direction is the direction of line g.
Click on either a segment s or two points A and B in order to create a perpendicular bisector (also see command PerpendicularBisector).
Note: The bisector’s direction is equivalent to the perpendicular vector of segment s or AB (also see command PerpendicularVector).
Selecting a line g and a point A creates a straight line through A perpendicular to line g (also see command PerpendicularLine).
Note: The line’s direction is equivalent to the perpendicular vector of g (also see command PerpendicularVector).
This tool creates the polar or diameter line of a conic section (also see command Polar).
· Select a point and a conic section to get the polar line.
· Select a line or a vector and a conic section to get the diameter line.
Tangents to a conic section can be produced in several ways (also see command Tangent):
· Selecting a point A and a conic c produces all tangents through A to c.
· Selecting a line g and a conic c produces all tangents to c that are parallel to line g.
·
Selecting a point A and a function f
produces the tangent line to f in x = x(A).
Note: x(A)
represents the x-coordinate of point A. If point A lies on the function graph, the tangent runs through point A.