पञ्चसिद्धान्तिका (आचार्य वराहमिहिर - सूर्य, रोमक, पौलिश, वासिष्ठ एवं पितामह सिद्धान्त)

324 PAÑCASIDDHĀNTIKĀ XVIII.18 16. Regarding Saturn, there is an increase (of the rate of motion) for thirty padas, from 2416. Then, there is a decrease for 127 padas from 2519. 17. Next there is an increase for 99 padas from 2037. The amount of decrease and increase are by the padas multiplied by 2. The divisor of the total minutes is 27, its multiplier being one. 18. The total of the first sector is 1ʳ 15° 51' and the total of the middle sector is 5ʳ 27° 34'. Note: The multiplication by one is unnecessary, but given to clear the doubt that may arise by the instruction to multiply the padas by two for subtraction and additions coming before. The meaning is clear, and no material change has been needed. I shall give what is given in the form of formulae: The total motion upto any pada in the first sector, viz., (1-30) = (2416 + 2 × padas) padas ÷ 27, in minutes. That in the second sector, viz., (31-157) = (2519 − 2 × padas) padas ÷ 27, in minutes. That in the third sector, viz., (158-256) = (2037 + 2 × padas) padas ÷ 27, in minutes. The total of the whole of first sector given. 1ʳ 15° 51' can be verified thus: (2416 + 2 × 30) 30 ÷ 27 = 2751' = 1ʳ 15° 51' given. The total of the whole second sector = (2519 − 2 × 127) 127 ÷ 27 = 10654' = 5ʳ 27° 34', given. Being unnecessary, the total of the third sector is not given. But we can calculate it and use it to see if all those add up to 12 rāśis, as necessary, and this will verify every instruction given. The total of the third sector = (2037 + 2 × 99) × 99' ÷ 27 = 8195' = 4ʳ 16° 35'. Now, 1ʳ 15° 51'

• 5ʳ 27° 34' + 4ʳ 16° 35' = 12ʳ. Examining the constants, we find that the maximum motion per pada is 2519' ÷ 27 = 93'.3. The minimum rate is 2037' ÷ 27 = 75'.4. The mean rate is = 84' .35 as already found, as the mean motion equal to the pada. Differentiating as before, the increase or decrease in the rate is 4'/27. Actually it is slightly less than this, the multiplier being slightly less than 2, given. (2037 + 4 × 98) = 2416 shows this. The perigee falls at end of 30 padas, i.e., 1ʳ 14°, and the apogee, 127 padas later, at 7ʳ 13°. The instruction how to use the result of these verses has not been given, because it is the same as that given in verse 8 for Jupiter. Indeed, the un-emended reading saure there means, "with reference to Saturn". 16a. B. षड्भूप. A.D. पक्षा c. A. वृद्धि; C.D. वृद्धिः c. A.C.D. यमला; B यमलो c-d. C.D. द्विगुणहताश्चैकगुणघ्नः d. A.B.C.D. पदाख्यः d. A.B. शनैरुदयः 17a. A.B.C.D. यमा 18a. B. वृषभांशा b. A. नवनवतस्तिघन; B. नवनवतस्त्रिघन b. A. खण्डाः; B. खण्डा c. A.B.C.D. त्रिघनः. A.B. त्रिंशः