perpendicular bisector
Draws the perpendicular bisector of a segment. The segment is dened either by its name or by its two
endpoints.
perpen_bisector(segment) or perpen_bisector(point1, point2)
Examples:
perpen_bisector(GC) draws the perpendicular bisector of segment C.
perpen_bisector(GA, GB) draws the perpendicular bisector of segment AB.
perpen_bisector(3+2i, i) draws the perpendicular bisector of a segment whose endpoints have
coordinates (3, 2) and (0, 1); that is, the line whose equation is y=x/3+1.
point2d
Randomly redistributes a set of points such that, for each point, x ∈ [–5,5] and y ∈ [–5,5]. Any further
movement of one of the points will randomly redistribute all of the points with each tap or direction key
press.
point2d(point1, point2, …, pointn)
polar
Returns the polar line of the given point as pole with respect to the given circle.
polar(circle, point)
Example:
polar(circle(x^2+y^2=1),point(1/3,0)) returns x=3
pole
Returns the pole of the given line with respect to the given circle.
pole(circle, line)
Example:
pole(circle(x^2+y^2=1), line(x=3)) returns point(1/3, 0)
power_pc
Given a circle and a point, returns the dierence between the square of the distance from the point to the
circle’s center and the square of the circle’s radius.
powerpc(circle, point)
Example:
powerpc(circle(point(0,0), point(1,1)-point(0,0)), point(3,1)) returns 8
Geometry functions and commands 209
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