________________
130
EPIGRAPHIA INDICA.
[Vol. XVII.
will suffice, the proper Tables being used, for work by the Brahma-Siddhanta. These Tables are specified in the following pages.
Examples have been given in all my foregoing papers, but perhaps the fullest series is to be found in the article on the First Arya-Siddhanta (above, Vol. XVI).
Tables for calculation by the Brahma-Siddhānta. The system of work for computation of an Indian date will be readily understood by perusal of examples 2 to 11 appended to my paper (above, Vol. XVI) on the First Arya-Siddhanta ; but the Tables used sre of course not all the same. The following list shews how accurate results by the Brahma-Siddhānta are to be obtained in calculation by the movements of true sun and trne moon.
Table LXXXII below is the general working Table for the Brahma-Siddhanta for the period A.D. 599 to 1200 (K.Y. 3700 to 4300 expired).
For names of months and of nakshatras in different parts of India, see Table LXII above (Vol. XVI, "The First Arya-Siddhanta").
For collective duration of mean lunar months see Table LXIIIA of the same article, or Table III, Part I, Indian Calendar.
Table LXXXIIIA below gives, by the Brahma-Siddhānta, the length of the true solar months and their collective duration, with the corresponding increases of a, b, c.
Table LXXXIIIB states the exact value of c and of "equation c" at the several true sankrāntis, or moments of the true sun's centre reaching the several sigos.
Table LXXXIIIO shews the value of c and of equation o" at the beginning of each century of the Kaliyaga.
For the increase of a, b, rospectively in defective and common centuries, and in common years and Leap-years, Bee Table LIVA, heading ; but note that by the Brahma-Siddhanta the increase of c in a defective century of 36525 days is 997678896964 and in a common century of 36536 days is 0-416684507. Tables LIVA and B contain the necessary figures for days, hours, minutes and seconds.
Table LXXXIV gives the values of "equation b," and Table LXXXV those of "equation c," for easy calculation by whole numbers, corresponding respectively to Tables VI and VII of the Indian Clendar," which stand for the Surya-Siddhänta.
For the more detailed values of "equation b" and "equation c" of moon and sun use Tubles LV and LVI above, Vol. XV, as framed for the Siddhanta Siromani.
For the indices of tithis (t), karanas, yogas (y) and nakshatras (n) see Table VIII, " Indian Calendar," or Table LXVIII (above, Vol. XVI," The First Arya-Siddhānta ").
For serial numbers of days of a year reckoned from January 1st use Table IX, " Indian Calendar," or Table LXIX (above, Vol. XVI," The First Arya-Siddhan'a ").
For conversion of tithi-indices and tithi-parts into time Table X, "Indian Calendar," is to be used, or Table LXX (above, Vol. XVI," The First Arya-Siddhanta").
For finding the week-day according to the European Calendar for any century from A.D. 0 to 2300 see Table LXXI (above, Vol. XIV, “The First Arya-Siddhanta "), or Tables XLIA and B (pp. 176, 177, "Indian Chronography").
Table LXXXVI gives the values of a, b, c at the beginning of each century of the Kaliyuga by the Brahma-Siddhānta.
Table LXXXVII gives the same for odd years of those centuries.
Table LXXXVIII states the daily sunrise values of a, b, c for a month previous to the day of Mosha-sam krānti.
Table LXXXIX sets forth the 24 base-sines of angles of the quadrant according to Brahmagupta, and the corresponding equations of the sun's centre.
