B. Ku, 69 The quantity one-two-zero-eleven-eight [811 021] is produced for seconds for the mulplier|. Here the quotient is set to be of the measure of seven-eight-two-nine-two-six-seven-nine, pp.629-287

B. Ku, 70 The multiplicand for amounts of thirds is indicated as twelve-three-zero-nine

B. Ku, 71 For fourths, the multiplier is nine-zero-five-five-eight-one [185 509]. Now the quotient is| eleven-two-four-nine-four-two-nine-three-zero joined with eight, pp.392-494

B. Ku, 72 The divisor of revolutions is four [4], and just twelve [12] for signs| In due order the exact divisor from degrees (lava) is said to be five for Saturn (<son> of the sun) ||72|| [For the Moon's Anomaly

B. Ku, 73 The multiplicand produced for revolution is three-five-nine-three-one-twelve-fourthrees [341 213 953]|. And the quotient for the moon's anomaly is three-nine-one-three-eight-threetwelve, pp.383-193

B. Ku, 74 The multiplier for its signs should be equal to three-zero-seven-seven-two-two-eightseven [78 227 703]|. The quotient is proclaimed by mathematicians to be two-eight-zero-eight-sixzero-four-three, pp.68-082

B. Ku, 75 The multiplier born from the degrees should amount to three-six-two-seven-eight-onesix-two [26 187 263]|. They proclaim that the quotient amounts to one-six-seven-five-three-onetwo-four-three, pp.135-761

B. Ku, 76 In this <case>, the multiplier quantity produced from minutes is four-two-eight-threeseven-three-four [4 373 824]|. Indeed there the quotient is five-one-three-two-three[-six-eight-twofour

B. Ku, 77 The multiplier quantity for seconds is equal to seven-three-eight-three-one [13 837|. Here the quotient is equal to nine-seven-eight-seven-zero-eight-zero-five-six, pp.807-879

B. Ku, 78 The multiplier obtained for thirds is seen tho have as a measure zero-eight-eight-threetwelve [123 880|.The quotient is a quantity in thirds is eleven-zero-seven-six-four-three-nine-fivenine-four with three, pp.593-467

B. Ku, 79 Here the multiplier for fourths is twenty-four-three-two-fourteen [142 324], but the quotient quantity is| one-five-two-nine-eight-seven-two-eight-five-eight-nine-zero-twenty-four, p.24

B. Ku, 80 The reducer which is a denominator should be known for signs to be twelve [12]| In due order for degrees and so forth the denominators are seen in due order by the enlightened ones to be five

B. Ku, 81 The <number of> intercalary <days> which is a multiplier is equal to nine-zero-fivetwo-seven-six [672 509]|. The quotient quantity in due order is zero-[seven-six]-zero-two

B. Ku, 82 The <number of> omitted <days> which is a multiplier is one-three-zero-seven-four- two-six[6 247 031]|. The quotient also is mentioned as nine-four-seven-seven-nine

B. Ku, 83 A multiplier in due order for the declination is seven-four-three [347| In due order, the quotient quantity is seen to be [one-four-one [141||83|| [For Intercalary Months

B. Ku, 84 For the intercalary months in a yuga, the multiplicand is seen as seven-one-three-zerozero-nine and eighteen [18 900 317]|. Here also, in this case, the quotient for revolutions is constantly five-eight-zero-nine-one, pp.85-84

B. Ku, 85 The quantity which is a multiplier is equated with <the numbers> one-nine-three-zeroeleven-two-twelve [122 110 391]|. Here the quotient quantity produced from signs consist of the numbers three-four-six-nine-seven-fourteen, pp.479-643

B. Ku, 86 The multiplier quantity should be six-three-eight-four-three-seven-four-two, p.734

B. Ku, 87 In minutes, the multiplier quantity is seen to consist of the numbers eight-seven-fourfourteen-eight-three [3 814 478]|. They say that the quotient has a measure of nine-one-eight-sevennine-one-three-eight, pp.197-819

B. Ku, 88 The established multiplier for seconds is seen to measure nine-four-five-two-fourteen

B. Ku, 89 And also for thirds the number [for the multiplier] is six, zero-six-four-three-one

B. Ku, 90 For fourths the quantity obtained for multiplier is declared to be twelve-four-three-nine

B. Ku, 91 The reducer for revolutions with signs is exactly twelve [12]| For the remaining, when reducing the divisor is five [5] and also five [5]||91|| Thus ends the mathematical quarter in Bh?skara's work, a commentary on the ?ryabha?atantraElder ?ryabhat? a's rule for the solution of indeterminate equations of the first degree, NOTES AND REFERENCES Datta Bulletin of the Calcutta Mathematical Society, issue.1, pp.19-36, 1932.

T. Hayashi, Kut? t? ?k?ra?iroman? i of Devar?ja, Sanskrit Text with English Translation, Notes and Appendices, Indian National Science Academy, vol.46, pp.1-47, 2011.

T. Hayashi, B?jagan? ita of Bh?skara, SCIAMVS, vol.10, 2009.

A. Keller, Expounding the mathematical seed, Bh?skara and the mathematical chapter volumes), the ?ryabha??ya, vol.2, 2006.

A. Keller, Qu'est ce que les mathématiques? les réponses taxinomiques de Bh?skara un commentateur, mathématicien et astronome du VIIème siècle, Sciences et frontières Kimé, pp.29-61, 2007.

D. Pingree, volumes), Census of the Exact Sciences in Sanskrit (CESS), vol.5, 1970.

D. Pingree, Jyotih? ??stra : astral and mathematical literature, 1981.

K. Plofker, Mathematics in India, 2009.
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S. B. Rao, Indian Astronomy, An Introduction, 2000.

S. R. Sarma, On the Rationale of the Maxim A?k?n?? V?mato Gati?, Gan? ita Bh?rati, pp.31-65, 2009.

S. N. Sen, A Concise History of Science in India, pp.58-135, 1971.

P. C. Sengupta, The Aryabhatiyam, translation, XVI, 1927.

C. Severi, Le principe de la chimère, une anthropologie de la mémoire. Paris: Aesthetica, Editions de la rue d, 2007.

K. S. Shukla and . Mah?bh?skariya, Edited and Translated into English, with Explanatory and Critical Notes, and Comments, etc. Lucknow, 1960.

K. S. Shukla, ?ryabha??ya of ?ryabhat? a, with the commentary of Bh?skara I and Some?vara, 1976.

K. Sarma and K. S. Shukla, ?ryabha??ya of ?ryabhat? a, critically edited with translation, 1976.

?. ??1?????-??8-?8, ?. ??????, ?. ?. ?f??, . ?o, ?. @bullet???????-?8-1??????1????? et al., ,46,564; of Jupiter, 3, 64224; of Mars 22,96,824; of Mercury and Venus the same as those fo the Sun; of the Moon's apogee, 4,88,219; of (the ?ighrocca of) Mercury, 1, 79, 37, 020; of (the ?ighrocca of) Venus, 70, 22,388; of (the ?ighrocca of) the other planets, the sam as those of the Sun; of the Moon's ascending node in the opposite direction, yuga, the eastward revolutions of the Sun are 43 There revolutions commenced at the beginning of the sign Aries on Wednesday at sunrise at La?k? (when it was the commencement of the current yuga, p.32226

. Shukla and . Sarma, that it is is actually a mean value in which the mean revolutions of Mercury around the earth are equated to the mean revolutions of Mercury around the sun (??ghrocca) But this is not at stake in the present data considered, pp.6-7, 1976.