IMO Shortlist 1967 problem 3
Dodao/la:
arhiva2. travnja 2012. Circle
![k](/media/m/f/1/3/f135be660b73381aa6bec048f0f79afc.png)
and its diameter
![AB](/media/m/5/2/9/5298bd9e7bc202ac21c423e51da3758e.png)
are given. Find the locus of the centers of circles inscribed in the triangles having one vertex on
![AB](/media/m/5/2/9/5298bd9e7bc202ac21c423e51da3758e.png)
and two other vertices on
%V0
Circle $k$ and its diameter $AB$ are given. Find the locus of the centers of circles inscribed in the triangles having one vertex on $AB$ and two other vertices on $k.$
Izvor: Međunarodna matematička olimpijada, shortlist 1967