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This
construction for the upper half-plane model is to replace the
original tool called ‘Compass’ in Cabri Geometry II.
Given:
Three points P1, P2 and P3 in the upper half-plane.
To Construct:
The u-circle with center P1 and radius defined
by P2 and P3 (with congruence for distance in non-Euclidean
geometry).
Constructions:
 Figure 18
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First, construct the mirror
u-line m of P1 and P2 (see Figure 18).
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Let P3' be the inverse of
P3 with respect to m. The u-circle with center P1 (in non-Euclidean
sense) and P3' on its circumference is the desired object.
 Download
This Macro u-compass.mac
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