Incentre, orthocentre, centroid…… how many points/centres of a triangle do you know? 3, 6, 12, all…..
Well, do not even try. Triangle may look quite innocent, but like everything mathematics, this innocent-looking three-headed monster also has enough points to jam your head to capacity, and still leave most of itself out.
Clark Kimberling, Professor of Mathematics at the University of Evansville, maintains a list of points/centres associated with the geometry of a triangle.
At the last update in June 2019, the list has 32,784 triangle centres. No, no typing mistake. The figure is indeed 32,784.
That is mathematics for you. It is endless in all directions. Even within a triangle.
The west is now coming round to the view that those who created Sanskrit also created mathematics.
But those who actually created Sanskrit and mathematics now mostly worry about who is above them and who is below them, and mostly beat each other for reservations and are so busy in beating each other that any two-bit band of looters, murderers, and rapists comes and beats them at will.
Arrow of evolution is not unidirectional. Civilisation, if not nurtured, may regress also, de-evolve also.
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