Page:English translation of the Surya Siddhanta and the Siddhanta Siromani by Sastri, 1861.djvu/28

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18
Translation of the

diminished by twenty minutes; (then the degrees in the periphery of the Sun's epicycle=13° 40′ and in that of the Moon's=31° 40′.)

Dimensions of the 1st epi-
cycles of the Mars &c., in
degrees of the concentric.
35. There are 75, 30, 33, 12 and 49, (degrees of the concentric in the peripheries of the first epicycles of Mars, Mercury, Jupiter, Venus and Saturn respectively) at the end of an even quadrant (of the concentric, but) at the end of an odd quadrant, there are 72, 28, 32, 11, 48 (degrees of the concentric.)

Dimensions of the 2nd
epicycles of Mars &c.
36. There are 235, 133, 70, 262 and 39 (degrees of the concentric) in the peripheries of the S'íghra or second epicycles of Mars &c., at the end of an even quadrant (of the concentric).

37. At the end of an odd quadrant (of the concentric,) there are 232, 132, 72, 260, 40 degrees of the concentric in the peripheries of the second epicycles of Mars &c.

Given the Kendra of a
planet, to find the dimen-
sions of the rectified periphe-
ry of the epicycle.
38. Take the difference between the peripheries of epicycles of a planet at the ends of an even and an odd quadrant; multiply it by the sine of the Bhuja (of the given Kendra of the planet,) and divide the product by the radius. Add or subtract the quotient to or from the periphery which is at the end of an even quadrant according as it is less or greater than that which is at the end of an odd quadrant: the result will be tbe Sphuṭa or rectified periphery (of the epicycle of the planet.)

Given the 1st or 2nd
Kendra of a planet, to find
the 1st or 2nd Bhuja-pha-
la and Koti-phala and the
1st equation of the planet.
39. Multiply the sines of the Bhu-ja and Koṭi (of the given 1st and 2nd Kendra of a planet) by the rectified periphery (of the 1st and 2nd epicycle of the planet), and divide the products by the degrees in a circle or 360° (the quotients are called the 1st or 2nd Bhuja-phala and Koṭi-phala respectively). Find the arc whose sine is equal to the 1st Bhuja-phala: the number of the minutes