Geometry and circles
(AoPS)
Three congruent circles have a common points
O
and lie inside a triangle such that each circle touches a pair of sides of the triangle .prove that the incentre and circumcentre of the triangle and the point
O
are collinear
*** The common points are
the internal similitude center
(
X(55)
) and
the external center of similitude
(
X(56)
).
Angel Montesdeoca (03-06-2020)
Hechos GeomÃ©tricos del TriÃ¡ngulo