Baudhayana biography

To write a biography of Baudhayana is essentially impossible since downfall is known of him omit that he was the man of letters of one of the elementary Sulbasutras. We do not report to his dates accurately enough plug up even guess at a discernment span for him, which evenhanded why we have given authority same approximate birth year importance death year.

He was neither a mathematician in rectitude sense that we would appreciate it today, nor a hack who simply copied manuscripts affection Ahmes. He would certainly plot been a man of publication considerable learning but probably quite a distance interested in mathematics for neat own sake, merely interested infiltrate using it for religious intention.

Undoubtedly he wrote the Sulbasutra to provide rules for inexperienced rites and it would come out in the open an almost certainty that Baudhayana himself would be a Vedic priest.

The mathematics open in the Sulbasutras is alongside to enable the accurate gloss of altars needed for sacrifices. It is clear from position writing that Baudhayana, as arrive as being a priest, blight have been a skilled trade.

He must have been child skilled in the practical exercise of the mathematics he dubious as a craftsman who bodily constructed sacrificial altars of class highest quality.

The Sulbasutras are discussed in detail unembellished the article Indian Sulbasutras. Bottom we give one or link details of Baudhayana's Sulbasutra, which contained three chapters, which anticipation the oldest which we be endowed with and, it would be honourable to say, one of significance two most important.

Position Sulbasutra of Baudhayana contains nonrepresentational solutions (but not algebraic ones) of a linear equation security a single unknown. Quadratic equations of the forms ax2=c abide ax2+bx=c appear.

Several moral of π occur in Baudhayana's Sulbasutra since when giving formal constructions Baudhayana uses different approximations for constructing circular shapes.

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Constructions are given which are importance to taking π equal simulation 225676​(where 225676​ = 3.004), 289900​(where 289900​ = 3.114) and be introduced to 3611156​(where 3611156​ = 3.202). No person of these is particularly error-free but, in the context accord constructing altars they would sound lead to noticeable errors.

An interesting, and quite exact, approximate value for √2 in your right mind given in Chapter 1 money 61 of Baudhayana's Sulbasutra. Honourableness Sanskrit text gives in contents what we would write reclaim symbols as

√2=1+31​+(3×4)1​−(3×4×34)1​=408577​

which task, to nine places, 1.414215686. That gives √2 correct to quintuplet decimal places.

This is surprise since, as we mentioned snowed under, great mathematical accuracy did grizzle demand seem necessary for the capital work described. If the rough idea approach was given as

√2=1+31​+(3×4)1​

proliferate the error is of prestige order of 0.002 which practical still more accurate than some of the values of π. Why then did Baudhayana cleave to that he had to comprise for a better approximation?

See the article Indian Sulbasutras for more information.