HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 248)

100

101

similarity(point, realk, angle, object)

Example:

similarity(0, 3, angle(0,1,i),point(2,0)) dilates the point at (2,0) by a scale factor of 3 (a

point at (6,0)), then rotates the result 90° counterclockwise to create a point at (0, 6).

Projection

Draws the orthogonal projection of a point onto a curve.

projection(curve, point)

Inversion

Draws the inversion of a point, with respect to another point, by a scale factor.

inversion(point1, realk, point2)

Example:

inversion(GA, 3, GB) draws point C on line AB such that AB*AC=3. In this case, point A is the center of

the inversion and the scale factor is 3. Point B is the point whose inversion is created.

In general, the inversion of point A through center C, with scale factor k, maps A onto A’, such that A’ is on line

CA and CA*CA’=k, where CA and CA’ denote the lengths of the corresponding segments. If k=1, then the

lengths CA and CA’ are reciprocals.

Reciprocation

Given a circle and a vector of objects that are either points or lines, returns a vector where each point is

replaced with its polar line and each line is replaced with its pole, with respect to the circle.

reciprocation(Circle, [Obj1, Obj2,...Objn])

Example:

reciprocation(circle(0,1),[line(1+i,2),point(1+i*2)]) returns [point(1/2,

1/2) line(y=-x/2+1/2)]

Numeric view: Cmds menu

Cartesian

Abscissa

Returns the x coordinate of a point or the x length of a vector.

abscissa(point) or abscissa(vector)

Example:

abscissa(GA) returns the x-coordinate of the point A.

200 Chapter 9 Geometry

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