HP Prime Graphing Calculator User Manual

Page 187

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Geometry

183

arcLen

Returns the length of the arc of a curve between two points on

the curve. The curve is an expression, the independent

variable is declared, and the two points are defined by values

of the independent variable.
This command can also accept a parametric definition of a

curve. In this case, the expression is a list of 2 expressions (the

first for x and the second for y) in terms of a third independent

variable.

arcLen(expr, real1, real2)

Examples:

arcLen(x^2, x, –2, 2) returns 9.29….

arcLen({sin(t), cos(t)}, t, 0, π/2) returns

1.57…

area

Returns the area of a circle or polygon.

area(circle) or area(polygon)

This command can also return the area under a curve

between two points.

area(expr, x=value1..value2)

Examples:
If GA is defined to be the unit circle, then area(GA) returns

.

area(4-x^2/4, x=-4..4) returns 14.666…

coordinates

Given a vector of points, returns a matrix containing the x- and

y-coordinates of those points. Each row of the matrix defines

one point; the first column gives the x-coordinates and the

second column contains the y-coordinates.

coordinates([point1, point2, …, pointn]))

distance

Returns the distance between two points or between a point

and a curve.

distance(point1, point2)

or

distance(point,

curve)

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