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184 Geometry
Examples:
distance(1+i, 3+3i) returns 2.828… or 2√2.
if GA is the point at (0, 0) and GB is defined as
plotfunc(4–x^2/4), then distance (GA, GB) returns 3.464…
or 2√3.
distance2
Returns the square of the distance between two points or
between a point and a curve.
distance2(point1, point2) or distance2(point,
curve)
Examples:
distance2(1+i, 3+3i) returns 8.
If GA is the point at (0, 0) and GB is defined as plotfunc(4-
x^2/4), then distance2(GA, GB) returns 12.
equation
Returns the Cartesian equation of a curve in x and y, or the
Cartesian coordinates of a point.
equation(curve) or equation(point)
Example:
If GA is the point at (0, 0), GB is the point at (1, 0), and GC
is defined as circle(GA, GB-GA), then equation(GC)
returns x
2
+ y
2
= 1.
extract_measure
Returns the definition of a geometric object. For a point, that
definition consists of the coordinates of the point. For other
objects, the definition mirrors their definition in Symbolic view,
with the coordinates of their defining points supplied.
extract_measure(Var)
ordinate
Returns the y coordinate of a point or the y length of a vector.
ordinate(point) or ordinate(vector)
Example:
Example: ordinate(GA) returns the y-coordinate of the
point A.