MathDB

13.2

Part of Geometry Mathley 2011-12

Problems(1)

Geometry Mathley 13.2 Euler line of ABC is Newton line of PQRS

Source:

6/7/2020
In a triangle ABCABC, the nine-point circle (N)(N) is tangent to the incircle (I)(I) and three excircles (Ia),(Ib),(Ic)(I_a), (I_b), (I_c) at the Feuerbach points F,Fa,Fb,FcF, F_a, F_b, F_c. Tangents of (N)(N) at F,Fa,Fb,FcF, F_a, F_b, F_c bound a quadrangle PQRSPQRS. Show that the Euler line of ABCABC is a Newton line of PQRSPQRS.
Luis González
Euler LineNewton linegeometryexcircleEuler Circle