Hp Prime Graphing Calculator Manuel d'utilisateur télécharger pdf (Page 168)

100

101

164 Geometry

lengths of the corresponding segments. If k=1, then the

lengths CA and CA’ are reciprocals.

Suppose you wish to find the inversion of a circle (GC) with a

point on the circle (GD) as center.

1. Tap and select More > Inversion.

2. Tap the point that is to be the center (GD) of the inversion

circle and press

3. Enter the inversion

ratio—use the default

value of 1—and press

4. Tap on the circle( GC)

and press

You will see that the

inversion is a line.

Reciprocation A reciprocation is a special case of inversion involving circles.

A reciprocation with respect to a circle transforms each point

in the plane into its polar line. Conversely, the reciprocation

with respect to a circle maps each line in the plane into its

pole.

1. Tap and select More > Reciprocation.

2. Tap the circle and press

3. Tap a point and press

E to see its polar

line.

4. Tap a line and press

E to see its pole.

In the illustration to the

right, point K is the

reciprocation of line DE

(G) and Line I (at the bottom of the display) is the

reciprocation of point H.

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Hp Prime Graphing Calculator Manuel d'utilisateur Page 168

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