A circle inscribed in a triangle or other figure so as to touch (but not cross) each side.
- The three lines through the incircle and the circumcircle of triangles AIB, BIC, and CIA meet at a point.
- The point where the incircle and the nine point circle touch is now called the Feuerbach point.
- Rectangle is a cyclic shape with the circumcenter at the intersection of the diagonals, both of which are diameters of the incircle q.
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