22 Sitga-Siddhdha astronomical calculations, there ave introduced into its planetary elements certain corrections called bit (more properly ve; the word means lite. rally SEed we do not know how if arrived at its present significations in the mathematical languago), That this was so, was known to Davia (As. Ros. 38), but bo Wng unable to state the amount of the corree Hions, excepting in the case of the moon's psis and node (ibid., p. 275). Bentley (Hind. Ast , p. 179) gives them in full, and upon his authority ye xesent then in the annexed table. They are in the form, it will be noticed, of additions to, or subtractions from, the number of revolutions given for an Age, and the numbers are all divisible by four, in order not to interfere with the calculation by bha lesser period of 1,080,000 years. We have added the corrected number of revolutions, for both the greater and lesser period, the corrected time of revolution, expressed in Hindu divisions of the day, and the corrected arraount of nean daily motion hase corrections were first applied, according to MrBentley (As. Res. V1220), about the beginning of blhe sixteenth century ; they are presented by Beveral treatises of that as well as of later date, not having been yet superseded by others intended to secure yet greater correct nas8 Mean Motion.8 ० the Powta a४ corrected by the bija Planet. € |corrected number of revolu. thiops corrected time of i 4,820,000 [ in 1,080,000 revolutioD years, years. Corrected daily motion. } d a S!n Mercury, Venus, Mar Jupiter 5bun Moo bpsis , 4,320,000 1,030,000 BB5 15 31 8.14 55 8 10 10.4 16 | 17,93,044 4,484,961 87 581 1.26 | 45 38 19 54.5 12 ,22,384 1,765,5B 24 4 53 1.35 1 55 7 43 1.8 0 / 2,296,88a 674,208 686 59 50 5.87 B1 26 28 11.1 368,212 31,063 4,B82 24 66 5.56 4 59 8 24.५ + 12 1658D 85,545|10,764 58 80 1 .11 2 0 28 28.9 0 | b7,758,336 | 14,488,34 27 18 16 ,16 | 18 10 84 64 3.8 488,19B !22,0434 8,282 7 12 3,87 6 40 58 80.7 + 4 282,242 58,0604 6,794 18 58 0.66 3 10 44 B5.0 We need not, however, rely em external festinnony alone for informat tien as to the period when this correction was made. If the attempt to modify th९ elements in such a manner as to make them give bhe true posi tions of the planets at the time when they were so modified was in any tolerable degree successful, we ought to be able to discovez by calculation the date of the alterption. It we ascertain for any given time the posi. tions of the planety as given by the system , and compare thern with the three positions as found by our best modern methods, and if we then divide
