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Author: vinuthan

Laplace (1749-1827), the French mathematician once remarked – The ingenious method of expressing every possible number using a set of ten symbols (each symbol having a place value and an absolute value) emerged in India. The idea seems so simple nowadays that its signicance and profound importance is no longer appreciated. Its simplicity lies in the way it facilitated calculation and placed arithmetic foremost amongst use-ful inventions. the importance of this invention is more readily appreciated when one considers that it was beyond the two greatest men of antiquity, Archimedes and Apollonius”.

Origin of Hindu Geometry The Hindu Geometry originated in a ·very remote age in connection with the construction of the altars for the Vedic sacrifices. The sacrifices, as described in the Vedic literature of the Hindus, were of various kinds. The performance of some of them was obligatory upon every Vedic Hindu, and hence they were known as Nitya (or "obligatory", "indispensable"). Other sacrifices were to...

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David W. Henderson1 Department of Mathematics, Cornell University In this paper I will present a method for finding the numerical value of square roots that was inspired by the Sulbasutra which are Sanskrit texts written by the Vedic Hindu scholars before 600 B.C.. This method works for many numbers and will produce values to any desired degree of accuracy and is more efficient (in the sense of...

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LALLACHARYA SISHYADHI VRUDDHI TANTRA 700 AD   Asuro yadi maayayaa yutho niyatho athigrastheethi they mantham ganithena katham sa labhyathe grahakrutha parva vinaa kathanchana   If you are of the opinion that an artifical demon is always the cause of an eclipse by swallowing, then how is it that an eclipse can be determined by means of calculations. Moreover why is then not an eclipse occur on a day other than the day...

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SANKARANARAYANA COMMENTRAY TO LAGHUBHASKAREEYA   Atha eva bhoocchayaa chandragrahanasya kaaranam   That is why it is said that the shadow of the earth is the cause for the lunar eclipse....

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ARYABHATAI ARYABHATEEYA (499 AD)   Cchadayathi sasi sooryam sasinam mahathee cha bhoocchaayaa   Moon covers (shadows) the Sun and the great shadow of the earth covers the moon (which causes the eclipse)...

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SANKARANARAYANA COMMENTRAY TO LAGHUBHASKAREEYA 950 AD   Kimartham asura: kaschidraahurnaama saimhikeyoarkam chandram cha grasatha ithi srooyathe sraapi pouraanika sruthireva! ka: punariha raahurithyuchyathe   What does it mean that Asura is responsible for the eclipse? Others say that a snake Rahu swallows the Sun and the Moon! Those are puranic stories! Then what is called the Rahu?...

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VARAHAMIHIRA - PANCHASIDDHANTIKA (605 AD)   Panchaasathaa thribhisthryamsaamyuthairyojanaischa naaddyekaa samapoorva paschimasthairnithyam sodhyaa cha deyaa cha   One nadi for every 53 1/3yojanas has to be deducted or added (to Ujjaini) by the people in places east and west, respectively of the Ujjaini meridian. (Panchasiddhantika 9-10)...

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BHASKARA I LAGHUBHASKAREEYA (628 AD)   Desaanthara ghatee kshunnah madhyaa bhukthir dyuchaarinaam shashtyaa bhaktham runam praachyaam rekhaayaa: paschime dhanam.   The time is calculated based on the meridian. Divide the time by 60...

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