Κυριακή 15 Οκτωβρίου 2023
INRADII PROBLEM
Let ABC be a triangle, D a point on BC and r, r_b, r_c the inradii of ABC, ABD, ACD, resp. 1. AB _|_ BC ( ie A = 90 d.), AD _|_ BC (ie AD is the a-altitude) ==> r^2 = r_b^2 + r_c^2
(Old theorem)
2. ΨΗΦ. Πρόβλημα 19
Εγγραφή σε:
Αναρτήσεις (Atom)
EULER
X(72398) = 105TH HATZIPOLAKIS-MOSES-EULER POINT Barycentrics 6*a^10 - 11*a^8*b^2 - 2*a^6*b^4 + 12*a^4*b^6 - 4*a^2*b^8 - b^10 - 11*a^8*...
-
X(5459) Let ABC be a triangle, let A', B', C' be the midpoints of BC, CA, AB. Let L_a be the perpendicular through A' ...
-
Theorem 1. Let ABC be an equilateral triangle and P a point. The Euler lines of the triangles PBC,PCA,PAB are concurent.Denote the point ...
