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172 Geometry
Polygon
equilateral_triangle
Draws an equilateral triangle defined by one of its sides; that
is, by two consecutive vertices. The third point is calculated
automatically, but is not defined symbolically. If a lowercase
variable is added as a third argument, then the coordinates
of the third point are stored in that variable. The orientation of
the triangle is counterclockwise from the first point.
equilateral_triangle(point1, point2) or
equilateral_triangle(point1, point2, var)
Examples:
equilateral triangle(0,6) draws an equilateral
triangle whose first two vertices are at (0, 0) and (6,0); the
third vertex is calculated to be at (3,3*√3).
equilateral triangle(0,6, v) draws an equilateral
triangle whose first two vertices are at (0, 0) and (6,0); the
third vertex is calculated to be at (3,3*√3) and these
coordinates are stored in the CAS variable v. In CAS view,
entering v returns point(3*(√3*i+1)), which is equal to
(3,3*√3).
hexagon
Draws a regular hexagon defined by one of its sides; that is,
by two consecutive vertices. The remaining points are
calculated automatically, but are not defined symbolically.
The orientation of the hexagon is counterclockwise from the
first point.
hexagon(point1, point2) or hexagon(point1,
point2, var1, var2, var3, var4)
Examples:
hexagon(0,6) draws a regular hexagon whose first two
vertices are at (0, 0) and (6, 0).
hexagon(0,6, a, b, c, d) draws a regular hexagon
whose first two vertices are at (0, 0) and (6, 0) and stores the
other four points into the CAS variables a, b, c, and d. You do
not have to define variables for all four remaining points, but
the coordinates are stored in order. For example,
hexagon(0,6, a) stores just the third point into the CAS
variable a.