Page:English translation of the Surya Siddhanta and the Siddhanta Siromani by Sastri, 1861.djvu/26

four sines (in a quadrant of a circle whose radius is 3438). These are as follows.

The sines.17 to 22. 225, 449, 671, 890, 1105, 1315, 1520, 1719, 1910, 2093, 2267, 2431, 2585, 2728, 2859, 2978, 3084, 3177, 3256, 3321, 3372, 3409, 3431, 3438. Subtract these sines separately from the Radius 3438 in the inverse order, the remainders will be the versed sines (for every 33/4°).

The versed sines.23 to 27. There are 7, 29, 66, 117, 182, 261, 354, 460, 579, 710, 853, 1007, 1171, 1315, 1528, 1719, 1918, 2123, 2333, 2548, 2767, 2989, 3213, 3438, versed sines (in a quadrant).

28. The sine of the (mean) greatest declination, (of each of the planets)=1307 (the sine of 24°).

The Rule for finding the
planet's (mean) declination
from its longitude.Multiply the sine (of the longitude of a planet) by the said sine 1307; divide product by the radius 3438; find the arc whose sine is equal to the quotient. This arc is the (mean^[1]) declination (of the planet required).

29. Subtract the place of the planet from those of the Mandochcha^[2] and S'íghrochcha: and the remainders^[3] are the Kendras. From the Kendra determine the quadrant (in which the Kendra ends,) and the sines of the Bhuja and Koṭi^[4] (of the Kendra).

30. The sine of the Bhuja (of the arc which terminates) in an odd quadrant (i. e. 1st and 3rd,) is the sine of that part of

1. The mean declination of a planet is the declination of its corresponding point in the ecliptic: but the Sun's mean declination is the same as his true declination. B. D.
2. Mandochcha is equivalent to the higher apsis. The Sun's and Moon's Mandochchas (higher apsides) are the same as their apogees while the other planets' Mandochchas are equivalent to their aphelions. B. D.
3. The first remainder is called the first Kendra which corresponds with the anomaly, and the second, the second Kendra which is equivalent to the commutation added to or subtracted from 180° as the second Kbndba is greater or less than 180°. B. D.
4. The Bhuja of any given arc is that arc, less than 90°, the sine of which is equal to the sine of that given arc; and the Koṭi of any arc is the complement of the Bhuja of that arc. B. D.