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

188 PAÑCASIDDHĀNTIKĀ VIII. 12
उत्तरमक्षाच्छुद्धं याम्यं साऽक्षं च दक्षिणं विद्यात् ।
उत्तरमक्षादधिकमुत्तरमेवं विजानीयात् ॥ १२ ॥
Declination of the Nonagesimal
10. At any time (for which the zenith distance of the nonagesimal, ZDN, is
desired,) find the orient ecliptic point, OEP. Add nine signs to it. (This point
is called the nonagesimal). Find its declination.
11. Subtract the Head of Rāhu from the nonagesimal, find its sine, double
it, and add a sixth of the quantity got by doubling, (i.e. find the latitude of the
Moon, supposing it to be situated at the nonagesimal). Add this to the declina-
tion found above if both are of the same direction, and subtract it from the
declination if they are of different directions. (Thus the declination of the
nonagesimal is corrected).
12. The north declination, being less and therefore deducted from the
latitude of the place, the remainder (which is the ZDN) is south. The south
declination must be added to the latitude, and the sum (forming the ZDN) is
north. The part of the north declination greater than the latitude, (i.e. the
remainder after deducting the latitude from the north declination, which
forms the ZDN), is north.
Lagnatryaguvivara actually means the difference between the OEP and the Head of Rāhu, plus
three signs. Clearly this is equal to the difference between the nonagesimal and the Head of Rāhu,
as translated above. Therefore, if the reading, lagnāsuravivara is adopted, the word lagna must be
taken to mean tribhonalagna or nonagesimal. If the nonagesimal is greater than the Head and less
than the Tail, the latitude obtained is north, otherwise south. Why this is so has been explained in
connection with finding the Moon’s latitude according to the Pauliśa. Though, in a general way, the
nonagesimal latitude is asked to be deducted from the declination if of different directions (instruc-
tion contained in verse 11), in the case where the declination is less, the declination is to be deducted
from the latitude, the direction of the corrected declination being the direction of the latitude. The
instructions contained in verse 12 envisages only places north of the equator, as usual.
10-12, Quoted by Utpala on BS 5.18
10a. A. व for च
b. A1.C. सवसांस; B1.2. यासां स;
b. B. या: पु: प्रालग्ममानये ताभिः
B2. सारसां; D. स्वरसाप्तामपक्रमांशात् |
c. A. B1. नवमसेता
A1. संयुतममरान्; | B. संपुतयममरान्
d. A.C.D. ॰मांशा; B. ॰माशात्
c. A.B. जह्या दिग्व्यत्यासौ
A.B. विनिश्चत्या (B2. ॰त्यं); C.D. विनिश्चिन्त्याः
d. A.B. विज्ञेयैके
11a. A. वन्नासुरविरज्यां; B.C. लग्नासु (B3. लग्नास) रविरत्यां;
12a. B. मक्षाछुढ्ढं
D. लग्न्नासुर वि [व] रज्यां
b. B. य for च
C.U. विन्द्यात्
c. B. उत्तमक्षां