पञ्चसिद्धान्तिका (आचार्य वराहमिहिर - सूर्य, रोमक, पौलिश, वासिष्ठ एवं पितामह सिद्धान्त)
Panchasiddhantika of Acharya Varahamihira with Commentary
आचार्य वराहमिहिर द्वारा
पृष्ठ 115, कुल 419 में से
संदर्भ में पढ़ेंIV. 18 IV. THREE PROBLEMS 89
नवतिस्त्रियुता षष्टिश्चत्वारिंश'च्छिवा'श्च मिथुना(न्ते) ।
मेषाद् गताऽऽगतमुदग्दक्षिणतोऽदस्तूलादिषु च ॥ १८ ॥
17-18. The (promised) intervals of declinations in minutes for intervals of
quarter-signs, are, in Sāyana Meṣa: 180 + 3, 180 + 0, 180 − 5, 180 − 14, in
Sāyana Vṛṣabha, 100 + 4 × 14, 100 + 4 × 11, 100 + 4 × 7, 100 + 4 × 1, and
in Sāyana Mithuna, 90, 63, 40 and 11. (Thus the intervals are 183, 180, 175,
166, 156, 144, 128, 104, 90, 63, 40, 11.) These are to be added successively to
get the declinations from Meṣa (Aries) to Mithuna (Gemini). Then from Kar-
kaṭaka (Cancer) to Kanyā (Virgo), these should be deducted in the reverse
order, until at the end of Kanyā, the declination is zero. These declinations
from Meṣa to the end of Kanyā are north. Then from Tulā (Libra) to the end
of Dhanus (Sagittarius), the south declinations increase in the given order,
and from Makara (Capricorn) to Mīna (Pisces) the south declinations
decrease in the reverse order, until at the end of Mīna the declination is zero
again.)
Example 4. Find the declination of the ecliptic point ending (Sāyana) Capricorn.
The end of Capricorn is rāśi 10-0-0. This falls between rāśis 6 and 12. ∴ The declination is south.
The declination ending Sagittarius (i.e. beginning Capricorn) is 24° S. The declination at the end
of Capricorn is 24° − 11′ − 40′ − 63′ − 90′ = 24° − 3° 24′ = 20° 36′S.
The author has perhaps computed the declination by applying the formula of verses 16 and got
the intervals by deducting the previous from the next. Or, these verses are taken in toto from the
original Pauliśa and given here, for there are small differences from the computed values. Or, the
differences are scribal errors. Both are given hereunder for comparison:
| Degrees | 0 | 7½ | 15 | 22½ | 30 | 37½ | 45 |
|---|---|---|---|---|---|---|---|
| Declinations by formula | 0 | 183 | 363 | 537 | 704 | 860 | 1003 |
| Intervals | 183 | 180 | 174 | 167 | 156 | 143 | 127 |
| Given intervals | 183 | 180 | 175 | 166 | 156 | 144 | 128 |
| Declinations | 0 | 183 | 363 | 538 | 704 | 860 | 1004 |
| [17a. A.B.C. शतमसीत; D. ॰मशीति | |||||||
| b. A. दशख्रिषयुकर्मिद्रियमनूनां; 18a. B. षष्टि | |||||||
| B. दशख्रिंशायुक्तांमिन्द्रियं (B1. य) मनूनां; b. B. Haplographical om. च्छिवाश्च | |||||||
| C. दख्षिषयुक्तमिन्द्रियमनूनाम् । [om. to यवश्च in verse 19] | |||||||
| D. दशत्रिसंयुक्तामिन्द्रियमनूनाम् । याम्योत्तरे कार्ये; C. मिथुनान्तरे | |||||||
| c. A.B.C. गविसेमनुभवमुनि-; D. गवि मनुभवमुनि c. D. मेषादितो गत उदग् | |||||||
| d. A.B.C. रूपैश्च गुणैः; D. रूपैश्च [त्रि] गुणैः. B. वशतं d. C. तुलादिषट्केषु |