The three lines through the incircle and the circumcircle of the three triangles meet at a point. |
The three lines through the incircle and the circumcircle of triangles AIB, BIC, and CIA meet at a point. |
And draw a line passing through O, parallel to AB and meeting the circumcircle in two points. |
The circumcircle of a triangle formed by three tangents to a parabola, passes through the focus of the parabola. |
The circumcircle of a triangle formed by three tangents to a parabola passes through the focus of the parabola. |
It has one circumcircle, on the intersection of the two lines. |