• Pi Of The Circle Vol 2 - free
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  • Pi Of The Circle Vol - 2 (free)

    Pages: 77
    Language: English
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Description

3.14159265358… has been used as a value for the last 2000 years. This number actually represents polygon of Exhaustion Method of Archimedes (240 BC) of Syracuse, Greece. This is the only one geometrical method available even now. The concept of limitation principle is applied and thus this number is attributed to the circle. In other words, 3.14159265358… of polygon is a borrowed number and attributed/ thrust on circle as its value, as the other ways, to find the length of the circumference of circle, has become impossible with the known concepts, principles, statements, theorems, etc.
From 1660 onwards, 3.14159265358… has been derived by infinite series also, starting with John Wallis of UK and James Gregory of Scotland. This number was obtained by Madavan of Kerala, India, adopting the same concept of infinite series even earlier i.e. 1450. The World of Mathematics has recognized very recently, that Madavan is the first to invent infinite series for the derivation of 3.14159265358. John Wallis and James Gregory too invented the infinite series independently though later in period (George Gheverghese Joseph of Manchester University, UK).
C.L.F. Lindemann (1882), Von K. Weirstrass and David Hilbert have called 3.14159265358… as a transcendental number. The basis for their proof was Euler’s formula ei + 1 = 0 (Leonhard Euler, Swiss Mathematician, 1707-1783).
With their proofs, squaring of circle has become, without any doubt, an unsolved geometrical problem. Thus, the present thinking on is, 3.14159265358… is the value which is an approximation and squaring of circle is impossible with the number.
At this juncture, the true and an exact value equal to (14-√2)/4.14644660942…. was discovered by the grace of God in March, 1998 after a struggle of 26 years (from 1972) adopting Gayatri method. Hence, this value is called the Gayatri value as the Gayatri method has revealed the true value for the first time to the World. It was only a suspected value then, and however, it was not discarded, by this author. He continued and confirmed (14-√2)/4 as the real value with Siva method, Jesus method and later with many more methods only.
A dilemma has thus crept into the minds of the people, which number 3.14159265358… or (14-√2)/4.14644660942 is the real value. One responsibility before this author was to clear this dilemma. And, therefore, a book was written collecting the work done in the past 12 years and titled Pi of the Circle in 2010.

- R.D.Sarva Jagannadha Reddy