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Geometry 169
bisector
Given three points, creates the bisector of the angle defined
by the three points whose vertex is at the first point. The angle
does not have to be drawn in the Plot view.
bisector(point1, point2, point3)
Examples:
bisector(A,B,C) draws the bisector of ∡ BAC.
bisector(0,-4i,4) draws the line given by y=–x
exbisector
Given three points that define a triangle, creates the bisector
of the exterior angles of the triangle whose common vertex is
at the first point. The triangle does not have to be drawn in the
Plot view.
exbisector(point1, point2, point3)
Examples:
exbisector(A,B,C) draws the bisector of the exterior
angles of ΔABC whose common vertex is at point A.
exbisector(0,–4i,4) draws the line given by y=x
half_line
Given 2 points, draws a ray from the first point through the
second point.
half_line((point1, point2)
line
Draws a line. The arguments can be two points, a linear
expression of the form a*x+b*y+c, or a point and a slope as
shown in the examples.
line(point1, point2) or line(a*x+b*y+c) or
line(point1, slope=realm)
Examples:
line(2+i, 3+2i) draws the line whose equation is
y=x–1; that is, the line through the points (2,1) and (3,2).
line(2x–3y–8) draws the line whose equation is
2x–3y=8
line(3–2i,slope=1/2) draws the line whose equation
is x–2y=7; that is, the line through (3, –2) with slope m=1/2.