|
In this construction, we use the following theorem:
Let P be any point which does not lie on circle r and which does not
coincide with the center of r, and let s be a circle through
P. If s passes through the inverse point P' of P with respect
to r, then s cuts r orthogonally.
Given:
A u-line m with a point P not on it in the
upper half-plane.
To Construct:
The u-line penpendicular to m and passing
through P.
Constructions:
 Figure 12
-
Let P' be the inverse of P
with respect to the circle that contains the u-line m.
-
Depend on the above theorem,
the u-line passing through P and P' is perpendicular to m
and hence is the desired u-line
 Download
This Macro perpendicular_from_point.mac
|
