Τρίτη 22 Οκτωβρίου 2019

HYACINTHOS 21970

Antreas P. Hatzipolakis
 
 
A CIRCLE:

Let ABC be a triangle, A'B'C' the cevian triangle of I and N1, N2, N3
the NPC centers of IB'C', IC'A', IA'B', resp.

The points I, N1,N2,N3 are concyclic.

Center of the circle?

LOCUS:

Let ABC be a triangle, P a point, A'B'C' the cevian triangle of P and N1,
N2, N3
the NPC centers of PB'C', PC'A', PA'B', resp.

Which is the locus of P such that the points P, N1,N2,N3 are concyclic ?

APH

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