On the circle
![K](/media/m/e/1/e/e1ed1943d69f4d6a840e99c7bd199930.png)
there are given three distinct points
![A,B,C](/media/m/6/0/1/6012c28979f41c54e9b40b9fc855aa34.png)
. Construct (using only a straightedge and a compass) a fourth point
![D](/media/m/7/0/0/7006c4b57335ab717f8f20960577a9ef.png)
on
![K](/media/m/e/1/e/e1ed1943d69f4d6a840e99c7bd199930.png)
such that a circle can be inscribed in the quadrilateral thus obtained.
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On the circle $K$ there are given three distinct points $A,B,C$. Construct (using only a straightedge and a compass) a fourth point $D$ on $K$ such that a circle can be inscribed in the quadrilateral thus obtained.