102.13 Distance from the incentre of the tangential triangle of an obtuse triangle to the Euler line

102.13 Distance from the incentre of the tangential triangle of an obtuse triangle to the Euler line

“…Indeed, the orthic and tangential triangles are homothetic, [4], so that we can use the homothety to find the incentre as the homothetic image of the incentre of the orthic triangle. The centre of the homothety is the point X(25) in [5], the scale factor of the homothety is…”