HP Prime Graphing NW280AAABA manual Isobarycenter, Midpoint, Orthocenter, Point

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.

Geometry 167