Take the arbitrary segment CB of the length a,
and on it as diameter draw the circle.
On this circle, take the arbitrary point A.
For the triangle ABC, find the points, D and E,
of intersection
of the medians and of the angular bisectors respectively.
While the point A moves along the circle,
the
points D and E move along the some closed curves.
Find these traces, as function of a.
See the picture
See here but better try yourself!
N/A
