Τρίτη 19 Μαρτίου 2013

POINT ON THE CIRCUMCIRCLE

Let ABC be a triangle, A'B'C', A"B"C" the antipedal tiangles of H, O [antimedial, tangential, resp.].

The triangles:

3. ABC, Triangle A*B*C* bounded by the lines (A'A",B'B",C'C") are perspective.

[the perspector is on the circumcircle(ABC) = NPC(A'B'C') = Incircle(A"B"C")]

Coordinates?

Antreas P. Hatzipolakis, Hyacinthos #21780

Generalization

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ETC1

X(73929) = (name pending) Barycentrics    (a^8-a^6*b^2-3*a^4*b^4+a^2*b^6+2*b^8+7*a^6*c^2+3*a^4*b^2*c^2+24*a^2*b^4*c^2+b^6*c^2+12*a^4*c^4+...