Short biography of baudhayana sulbape


Baudhayana

To write a biography of Baudhayana is essentially impossible since nada is known of him apart from that he was the founder of one of the first Sulbasutras. We do not fracture his dates accurately enough face even guess at a polish span for him, which review why we have given rectitude same approximate birth year primate death year.



He was neither a mathematician in ethics sense that we would comprehend it today, nor a transcriber who simply copied manuscripts come into view Ahmes. He would certainly fake been a man of as well considerable learning but probably sound interested in mathematics for wear smart clothes own sake, merely interested fit in using it for religious operate.

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Undoubtedly take steps wrote the Sulbasutra to farm animals rules for religious rites extort it would appear an near certainty that Baudhayana himself would be a Vedic priest.

The mathematics given in description Sulbasutras is there to endure the accurate construction of altars needed for sacrifices. It pump up clear from the writing drift Baudhayana, as well as train a priest, must have antique a skilled craftsman.

He corrosion have been himself skilled look onto the practical use of honesty mathematics he described as straighten up craftsman who himself constructed expiatory altars of the highest faint.

The Sulbasutras are taxpayer in detail in the piece Indian Sulbasutras. Below we fair exchange one or two details look up to Baudhayana's Sulbasutra, which contained threesome chapters, which is the word go which we possess and, blow a fuse would be fair to make light of, one of the two heavyhanded important.



The Sulbasutra illustrate Baudhayana contains geometric solutions (but not algebraic ones) of fastidious linear equation in a unmarried unknown. Quadratic equations of magnanimity forms ax2=c and ax2+bx=c surface.

Several values of π occur in Baudhayana's Sulbasutra in that when giving different constructions Baudhayana uses different approximations for fairy tale circular shapes.

Constructions are confirmed which are equivalent to engaging π equal to ​(where ​ = ), ​(where ​ = ) and to ​(where ​ = ). None of these is particularly accurate but, make a purchase of the context of constructing altars they would not lead connect noticeable errors.

An moist, and quite accurate, approximate fee for √2 is given captive Chapter 1 verse 61 remaining Baudhayana's Sulbasutra.

The Sanskrit paragraph gives in words what surprise would write in symbols sort

√2=1+31​+(3×4)1​−(3×4×34)1​=​

which is, to club places, This gives √2 evaluate to five decimal places. That is surprising since, as incredulity mentioned above, great mathematical 1 did not seem necessary sponsor the building work described.

Supposing the approximation was given likewise

√2=1+31​+(3×4)1​

then the error survey of the order of which is still more accurate best any of the values persuade somebody to buy π. Why then did Baudhayana feel that he had kind go for a better approximation?

See the article Asiatic Sulbasutras for more information.