HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 255)

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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)

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_orthogonal

Tests whether or not two lines or two circles are orthogonal (perpendicular). In the case of two circles, tests

whether or not the tangent lines at a point of intersection are orthogonal. Returns 1 if they are and 0

otherwise.

is_orthogonal(line1, line2) or is_orthogonal(circle1, circle2)

Example:

is_orthogonal(line(y=x),line(y=-x)) returns 1.

is_rectangle

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

2 if they are vertices of a square.

is_rectangle(point1, point2, point3, point4)

Examples:

is_rectangle(point(0,0), point(4,2), point(2,6), point(-2,4)) returns 2.

With a set of only three points as argument, tests whether or not they are vertices of a right triangle. Returns

0 if they are not. If they are, returns the number order of the common point of the two perpendicular sides (1,

2, or 3).

is_rectangle(point(0,0), point(4,2), point(2,6)) returns 2.

Geometry functions and commands 207

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