HP Prime Graphing Wireless Calculator - Manual (Page 67)

Geometry 63
harmonic_conjugate
Returns the harmonic conjugate of 3 points. Specifically,
returns the harmonic conjugate of point3 with respect to
point1 and point2. Also accepts three parallel or concurrent
lines; in this case, it returns the equation of the harmonic
conjugate line.
harmonic_conjugate(point1, point2, point3)
or
harmonic_conjugate(line1, line2, line3)
Example:
harmonic_conjugate(point(0, 0), point(3, 0),
point(4, 0)) returns point(12/5, 0)
harmonic_division
Returns the harmonic conjugate of 3 points. Specifically,
returns the harmonic conjugate of point3 with respect to
point1 and point2 and stores the result in the variable var.
Also accepts three parallel or concurrent lines; in this case, it
returns the equation of the harmonic conjugate line.
harmonic_division(point1, point2, point3, var)
or
harmonic_division(line1, line2, line3, var)
Example:
harmonic_division(point(0, 0), point(3, 0),
point(4, 0), p) returns point(12/5, 0) and stores it
in the variable p
isobarycenter
Returns the hypothetical center of mass of a set of points.
Works like barycenter but assumes that all points have equal
weight.
isobarycenter(point1, point2, …,pointn)
Example: isobarycenter(–3,3,3*√3*i) returns
point(3*√3*i/3), which is equivalent to (0,√3).
is_harmonic
Tests whether or not 4 points are in a harmonic division or
range. Returns 1 if they are or 0 otherwise.
is_harmonic(point1, point2, point3, point4)
is_harmonic(point1, point2, point3, point4)