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HP Prime Graphing Calculator User Manual

Page 171

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Geometry

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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).

midpoint

Returns the midpoint of a segment. The argument can be

either the name of a segment or two points that define a

segment. In the latter case, the segment need not actually be

drawn.

midpoint(segment) or midpoint(point1, point2)

Example: midpoint(0,6+6i) returns point(3,3)

orthocenter

Returns the orthocenter of a triangle; that is, the intersection of

the three altitudes of a triangle. The argument can be either

the name of a triangle or three non-collinear points that define

a triangle. In the latter case, the triangle does not need to be

drawn.

orthocenter(triangle) or orthocenter(point1,
point2, point3)

Example: orthocenter(0,4i,4) returns (0,0)

point

Creates a point, given the coordinates of the point. Each

coordinate may be a value or an expression involving

variables or measurements on other objects in the geometric

construction.

point(real1, real2) or point(expr1, expr2)

Examples:

point(3,4) creates a point whose coordinates are (3,4).

This point may be selected and moved later.

point(abscissa(A), ordinate(B)) creates a point

whose x-coordinate is the same as that of a point A and

whose y-coordinate is the same as that of a point B. This point

will change to reflect the movements of point A or point B.