Κυριακή 5 Μαΐου 2013

FEUERBACH POINT

Let ABC be a triangle and A1,A2,A3 the NPC centers of IBC,ICA,IAB, resp.

The circumcenter O0 of A1A2A3 is N of ABC and the orthocenter H0 of A1A2A3 is I of ABC.

Which point wrt A1A2A3 is the Feuerbach point F of ABC (it lies on the Euler line of A1A2A3) ?

Antreas P. Hatzipolakis, 5 May 2013

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REGULAR POLYGONS AND EULER LINES

Let A1A2A3 be an equilateral triangle and Pa point. Denote: 1, 2, 3 = the Euler lines of PA1A2,PA2A3, PA3A1, resp. 1,2,3 are concurrent. ...