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

104 PAÑCASIDDHĀNTIKĀ IV. 31 Because the sine of the longitude and the sine of the declination (which itself varies as the sine of the longitude) decrease in the second quadrant in the reverse order of the increase in the first, and this increase and decrease are repeated in the third and fourth quadrants, the differences of vināḍīs follow the same course. [राश्युदयः] चरदलकालक्षीणास्त्रयस्त्रयः संयुताः प्रतीपैस्तैः । उदयर्क्षतुल्यकालेन यान्ति तत्सप्तमाश्चास्तम् ॥ ३१ ॥ Rising Signs 31. Take the differences of Rt. asc. of three signs at a time. From the first triplet subtract the differences of half-caras, one by one, taken in the given order. Add the half-cara differences one by one, taken in the reverse order, to the second triplets. To the third triplet add the half-cara differences taken in the given order. From the fourth triplet subtract the half-cara differences one by one, in the reverse order. The vināḍis of the rising signs, called the ascen- sional differences, as seen from any place, are obtained. The seventh from the rising signs set during the same time as the signs themselves rise. The ascensional differences for the several signs are as follows: Aries : 278 − half-cara difference for Aries Taurus : 299 − half-cara difference for Taurus Gemini : 323 − half-cara difference for Gemini Cancer : 323 + half-cara difference for Gemini Leo : 299 + half-cara difference for Taurus Virgo : 278 + half-cara difference for Aries Libra : 278 + half-cara difference for Aries Scorpio : 299 + half-cara difference for Taurus Sagittarius : 323 + half-cara difference for Gemini Capricorn : 323 − half-cara difference for Gemini Aquarius : 299 − half-cara difference for Taurus Pisces : 278 − half-cara difference for Aries It can be noted that the ascensional differences for the six signs, Libra etc., are those of the six signs Aries etc. taken in the reverse order, as mentioned by us earlier. It should also be noted that signs Aries etc. mentioned here are sāyana. For nirayana meṣa etc. (reckoned from the first point of Aśvinī) the differences, obviously, will be different, and there will not be this symmetry about the first point of Meṣa or Tulā. Also, we have already said that the vināḍis are sidereal. Note also, that for places on the equator, the ascensional differences are those given in IV.30 itself, because the 31. Quoted by Utpala BS, 2, p.61. b. A. प्रतीपैस्ते 31a. A.C.D. चरकालदशक्षीणा; (C.D. दल) d. A. नयन्ति. B. ॰माश्वास्तान्