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HP Prime Graphing Wireless Calculator User Manual

Page 48

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Geometry

perpendicular(3+2i,line(x–y=1)) draws a line

through the point whose coordinates are (3, 2) that is

perpendicular to the line whose equation is x – y = 1; that is,

the line whose equation is y=–x+5.

Tangent

Draws the tangent(s) to a given curve through a given point.

The point does not have to be a point on the curve.

tangent(curve, point)

Examples:

tangent(plotfunc(x^2), GA) draws the tangent to the

graph of y=x^2 through point A.

tangent(circle(GB, GC–GB), GA) draws one or more

tangent lines through point A to the circle whose center is at

point B and whose radius is defined by segment BC.

Median

Given three points that define a triangle, creates the median

of the triangle that passes through the first point and contains

the midpoint of the segment defined by the other two points.

median_line(point1, point2, point3)

Example:

median_line(0, 8i, 4) draws the line whose equation

is y=2x; that is, the line through (0,0) and (2,4), the midpoint

of the segment whose endpoints are (0, 8) and (4, 0).

Altitude

Given three non-collinear points, draws the altitude of the

triangle defined by the three points that passes through the

first point. The triangle does not have to be drawn.

altitude(point1, point2, point3)

Example: altitude(A, B, C) draws a line passing

through point A that is perpendicular to BC.

Bisector

Given three points, creates the bisector of the angle defined

by the three points whose vertex is at the first point. The angle

does not have to be drawn in the Plot view.

bisector(point1, point2, point3)