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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Sanskrit is to traditional knowledge ( of all forms) , what Mathematics is to Physics. Physics has to be expressed as Sutras in mathematical form. But Mathematics does not qualify as a language of ordinary speech. Sanskrit in fact lives vibrantly in that same role as a language of sutras to all of traditional knowledge. In daily use however, the meaning has to be expanded into other bhashas based on ordinarily used language and expressions. As Feynman famously said, unless we explain physical concepts in plain language we have not understood it.