To observe a GSP sketch that illustrates the position of the Miquel point
for various positions of the points on the sides of the triangle click
here.
There are a number of interesting observations to be made regarding the
Miquel point:
1. The lines from the Miquel points to the marked points on the sides of
the triangle make equal angles with the respective sides. Click
here to observe this property on a GSP sketch.
2.. The centres of the Miquel circles are the vertices of a triangle similar
to the given triangle click here to
observe the similar triangle in a GSP sketch.
