Monday, 18 August 2014

Another day at the canteen :-

But this time my dinner was disturbed due to a freaky noise phat-phat-phat.
I looked up and saw that the black areas of the weird ceiling in which fans were put on were too small for some fans and they became so loose that their wings rattled and hit the boundaries of the empty space.
This gave me an idea. The space for the fans were square and the fans rotation is circular.
It struck to me  "Wow! I noticed a mathematical beauty" .:)
"You can't Square the circle." 

Which is in fact an ancient geometrical problem proposed by geometer s to construct a square with the same area as that of a given circle by only using compasses and a straight edge (ruler). 
Elementary mathematics tells us that the square will have a side of √Π r were r is the radius of circle.
But to construct such a square is impossible with a straight edge as √Π is transcendental (Meaning: There is no polynomial F(x) with rational coefficients such that F(Π = 0) .So one can't tell the exact value of Π .So the square you construct never has an area equal to the circle.
So "Squaring the circle "is used as a metaphor for "Doing the Impossible."

"It is easier to square the circle than to get round a mathematician."
-Quoted in H Eves In Mathematical Circles (Boston 1969).

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