Hp Prime Graphing Calculator Manuel d'utilisateur télécharger pdf (Page 183)

100

101

Geometry 179

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.

projection

Draws the orthogonal projection of a point onto a curve.

projection(curve, point)

reflection

Reflects a geometric object over a line or through a point. The

latter is sometimes referred to as a half-turn.

reflection(line, object) or reflection(point,

object)

Examples:

reflection(line(x=3),point(1,1)) reflects the

point at (1, 1) over the vertical line x=3 to create a point at

(5,1).

reflection(1+i, 3-2i) reflects the point at (3,–2)

through the point at (1, 1) to create a point at (–1, 4).

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Hp Prime Graphing Calculator Manuel d'utilisateur Page 183

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