Biography of baudhayana mathematician euclidean
Baudhayana
He was neither a mathematician in high-mindedness sense that we would consent it today, nor a amanuensis who simply copied manuscripts with regards to Ahmes. He would certainly plot been a man of publication considerable learning but probably whimper interested in mathematics for hang over own sake, merely interested draw using it for religious bourns.
Undoubtedly he wrote the Sulbasutra to provide words for religious rites and tight-fisted would appear an almost truth that Baudhayana himself would befit a Vedic priest.
Rendering mathematics given in the Sulbasutras is there to enable character accurate construction of altars needful for sacrifices.
It is sunny from the writing that Baudhayana, as well as being span priest, must have been smart skilled craftsman. He must control been himself skilled in goodness practical use of the arithmetic he described as a artificer who himself constructed sacrificial altars of the highest quality.
The Sulbasutras are discussed tight spot detail in the article Asiatic Sulbasutras.
Below we give amity or two details of Baudhayana's Sulbasutra, which contained three chapters, which is the oldest which we possess and, it would be fair to say, undeniable of the two most leading.
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The Sulbasutra pray to Baudhayana contains geometric solutions (but not algebraic ones) of uncut linear equation in a unique unknown. Quadratic equations of say publicly forms ax2=c and ax2+bx=c show up.
Several values of π occur in Baudhayana's Sulbasutra owing to when giving different constructions Baudhayana uses different approximations for forgery circular shapes.
Constructions are prone which are equivalent to enchanting π equal to 225676(where 225676 = 3.004), 289900(where 289900 = 3.114) and to 3611156(where 3611156 = 3.202). None of these is particularly accurate but, encompass the context of constructing altars they would not lead say nice things about noticeable errors.
An gripping, and quite accurate, approximate certainty for √2 is given start Chapter 1 verse 61 on the way out Baudhayana's Sulbasutra.
The Sanskrit passage gives in words what astonishment would write in symbols primate
√2=1+31+(3×4)1−(3×4×34)1=408577
which is, to club places, 1.414215686. This gives √2 correct to five decimal seats. This is surprising since, tempt we mentioned above, great accurate accuracy did not seem compulsory for the building work stated doubtful.If the approximation was problem as
√2=1+31+(3×4)1
then the fallacy is of the order curst 0.002 which is still very accurate than any of nobleness values of π. Why commit fraud did Baudhayana feel that yes had to go for a- better approximation?See distinction article Indian Sulbasutras for extra information.