Sunday, April 12, 2020

The Brahmagupta Hypothesis, Trgnometric Functions





The first mathematical treatise,
Was the Brahma Sphuta Siddhanta,
Written by the ace mathematician,
Brahmagupta from India.

He called 5 degrees of the Zodiac, Jya,
And so a Zodiacal Sign of 30, has six  Jyas.
He gave Sine Tables for difference of 5 degrees,
And originated concepts of sine and cosine.

As Trikonamithi became Trignometry,
And Jyamithi became Geometry later,
Science of Jyas was highlighted,
As longitudes computation  needed it.

Bow and arrow was best example,
Bow represents the Arc Sine, Chapa,
And the Versine, 1 - cos x, Sara,arrow,
And then, computation became simple.

The rough Sine Table set up,
Was later modified by Aryabhata,
Who gave sine values for differences,
Of three degrees and minutes forty five.

Since it deals with R Sine Differences,
It cannot be called a Sine Table,
But the Table of R Sine Differences,
Of great use to the computing student.

Radius, R, is easy to calculate,
360 by 2 Pi is 57.3 degrees,
Which converted is 206265 seconds,
The Magic Figure of Astronomy.

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