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

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)

Example:

is_harmonic(point(0, 0), point(3, 0), point(4, 0), point(12/5, 0)) returns 1

is_harmonic_circle_bundle

Returns 1 if the circles build a beam, 2 if they have the same center, 3 if they are the same circle and 0 otherwise.

is_harmonic_circle_bundle({circle1, circle2, …, circlen})

is_harmonic_line_bundle

Returns 1 if the lines are concurrent, 2 if they are all parallel, 3 if they are the same line and 0 otherwise.

is_harmonic_line_bundle({line1, line2, …, linen}))

is_rhombus

Tests whether or not a set of four points are vertices of a rhombus. Returns 0 if they are not, 1 if they are, and 2 if they are vertices of a square.

is_rhombus(point1, point2, point3, point4)

Example:

is_rhombus(point(0,0), point(-2,2), point(0,4), point(2,2)) returns 2

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Geometry

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Image 194
HP Prime Graphing NW280AAABA manual Isharmoniccirclebundle, Isharmoniclinebundle, Isrhombus