HP Prime Graphing NW280AAABA Other Geometry functions, Issquare, Convexhull, Harmonicconjugate

is_square

Tests whether or not a set of four points are vertices of a square. Returns 1 if they are and 0 otherwise.

is_square(point1, point2, point3, point4)

Example:

is_square(point(0,0), point(4,2), point(2,6), point(-2,4)) returns 1.

Other Geometry functions

The following functions are not available from a menu in the

Geometry app, but are available from the Catlg menu.

convexhull

Returns a vector containing the points that serve as the convex hull for a given set of points.

convexhull(point1, point2, …, pointn)

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)

Geometry 189