Wednesday, December 31, 2014

SQUARING A CIRCLE AND VICE - VERSA - A new approach

Dear Reader,
We are well aware of the fact that SQUARING A CIRCLE AND VICE - VERSA (using straightedge and compasses only) is impossible because of the trascendency nature of 'pi'  which was proved by German Mathematician Carl Louise Ferdinand Lindemann in 1882. Even after proving this fact, many mathematicians like Jacob de Gelder, Kochansky,  our Indian mathematical legend, Srinivasa Ramanujan who showed his unmatchable ingenuity, tried to construct a square equal in area to the area of the given circle using different rational convergent of 'pi'. They adopted different modes of processes to arrive at the convergent of their choice and their mode provides little chance to reverse the process so that circle can be constructed from the given square.
Viewing these deficiencies, KASIRAO. JAGATHAPU, a retired headmaster from V.C.B.R.M.Z.P.  High School, Nellore Dist., A.P. after years of struggle, devised a method not only answering the deficiencies but also a simple method that can take to the maximum accuracy one wishes.
Here is the pdf version of the method suggested. Please go through this and in case you want to contact the author, you mail directly write an email at kasiraoj@gmail.com
Amit Bajaj


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