Show how to construct four congruent circles, inside an acute triangle ABC, with centers A', B', C', and D' such that

1. circle with center A' is tangent to sides AB and AC,
2. circle with center B' is tangent to sides BC and BA,
3. circle with center C' is tangent to sides CA and CB, and
4. circle with center D' is externally tangent to the other three circles.

(In reply to Think BIG then small... like Alice by Eric)

This was well thought out Eric.

I had some problems following your instructions, but much of that was due to overcomplicating my CAD drawing, especially creating and copying the similar angles (I created 6 - mirror imaging the three that I needed)

Yes, I got there.

Again, well done.

(wonder if this was Bractal's construction  -  will upon it).

Posted by brianjn on 2006-06-15 08:14:16