Euler's line is the line that, inside of a triangle that isn't equilateral, contains the orthocenter, the circumcenter, the centroid, and the center of the nine-point circle
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the circumcenter, orthocenter, and centriod, when connected together i Euler's line. the angle bisector of the non base angle is the same thing.
Yes, it is a property of homogeneous function.
For a simply connected polyhedron,Faces + Vertices = Edges + 2
Mr. Euler
No. The numbers do not satisfy the Euler characteristic.