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HP Prime Graphing Calculator User Manual

Page 175

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Geometry

171

perpendicular

Draws a line through a given point that is perpendicular to a

given line. The line may be defined by its name, two points,

or an expression in x and y.

perpendicular(point, line) or
perpendicular(point1, point2, point3)

Examples:

perpendicular(GA, GD) draws a line perpendicular to

line D through point A.

perpendicular(3+2i, GB, GC) draws a line through

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

to line BC.

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.

segment

Draws a segment defined by its endpoints.

segment(point1, point2)

Examples:

segment(1+2i, 4) draws the segment defined by the

points whose coordinates are (1, 2) and (4, 0).

segment(GA, GB) draws segment AB.

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.