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

III.4 III. PAULIŚA-SIDDHĀNTA 47 P'. The numerical maximum is for P or P' = 66½. For P = 124, the value is −88½ minutes which is cancelled by + 88½ minutes for P' = 124, with the result that at the end of the gati the equation of the centre is zero and the true moon is equal to the mean Moon. It is mainly because of the relationship between the rules of II.6 and those in this verse, established by using the corrected reading vinavāt for nagāt that we have made that correction. Also if we take nagāt, then there will be a deficiency of one syllable. The adoption of the other reading, nāgāt has not the fault of the defective syllable, but 9 is required in the proof and not 8. The reading sāśvisāmvaro is corrected as sāśvikhasvaro, to mean 702, which is the minimum daily motion, derivable from the rules. TS also have intended 702 minutes to be the minimum daily motion by their emendation sāśvikhācalā, but theirs is not likely to be the original reading with such changes in the letters. We have corrected vasumuninavabhyah into navamunivasubhyah because from the establishment of the relationship, which we did, 879 minutes is the maximum daily motion and we require this. Further, the maximum must be as far above the mean value 790½ minutes, as the minimum is below. The minimum 702' is 88½ below 790½. So the maximum must be 790½' + 88½' = 879'. But TS have not touched this, for, by their own words, they have not been able to interpret this verse. [मन्दफलम्] पदमेकोनं 'पञ्चाष्टक' घ्नं'मे(कर्तुं)पक्षविषयेभ्यः' । प्रोज्य पदघ्नं छिन्द्या-'न्नवयममुनि'भिः कला इन्दोः ॥ ५ ॥ Equation of the centre 5. Reduce the plus or minus padas by one and multiply by 40. Subtract this from 5261. Multiply the result by the padas and divide by 729. The resulting minutes are equation of the centre. The formula is: The equation of the centre = {5261 − 40 (pada − 1)} pada/729, where pada is any pada, plus or minus, without distinction. Example 3. (a) Pada = 63. Find the equation of the centre. (b) Pada = 9. Find the equation of the centre. (a). {5261 − 40 (63 − 1)} 63/729 = (5261 − 2480) 63/729 = 2781 × 7/81 = 240 1/3 minutes. (b). {5261 − 40 (9 − 1)} 9/729 = (5261 − 320) 9/729 = 4941 × 1/81 = 61 minutes. खार्काधिकं भवेद्यत् परिशोध्यं तत् पुनः शताद् विंशात् । शशिनि धनं पूर्वार्धे (गत्यर्थेऽन्त्ये) क्षयः कार्यः ॥ ६ ॥ न पदं त्रिषष्टिपूरतः प्रथमपदं सप्ततिं त्वतिक्रम्य । पदयुक्ताः षट्पञ्चगुणाश्च बिन्दुस्त्रिघनभक्ते ॥ ७ ॥ 5a. B. पदमेकानं c. A.प्रोह्या; B1.3. प्रोध्या; B2. प्रोझ्या b. A.B. ॰घ्नेमेकं तु पक्ष॰ (A2. ॰नु पक्ष॰) d. B2. कलां