Σάββατο 30 Οκτωβρίου 2021

HYACINTHOS 24180

Let ABC be a triangle.

Denote:

Ab, Ac = the orthogonal projections of A on NB, NC, resp.

(Oab), (Oac) = the circles with diameters AAb,AAc, resp.

Similarly (Obc), (Oba) and (Oca), (Ocb)

R1 = the radical axis of (Oab), (Oac)
R2 = the radical axis of (Obc), (Oba)
R3 = the radical axis of (Oca), (Ocb)

The reflections of R1, R2, R3 in BC, CA, AB, resp. are concurrent.

[Angel Montesdeoca]:

The reflections of R1, R2, R3 in BC, CA, AB, resp. are concurrent. at

X(195) = X(5)-CEVA CONJUGATE OF X(3)