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

III.12 III. PAULIŚA-SIDDHĀNTA 51
(b) The cara-vināḍīs are 7 × 20 = 140. The Sun being within the 6 rāśis from Tulā, the day-time
is less than 30 nāḍīs. Therefore the day-time is 30 nāḍīs − 140 vināḍīs = nāḍīs 27-40.
[देशान्तरम्]
यवनान्तरजा नाड्यः सप्ताऽवन्त्यां त्रिभागसंयुक्ताः |
वाराणस्यां ‘त्रिकृति’: साधनमन्यत्र वक्ष्यामि || १३ ||
Deśāntara
13. The correction to the time of the longitude of Yavanapura to get the time
of the longitude of Ujjain is seven nāḍikās, 20 vināḍikās and that of Banaras
(Vārāṇasī) is nine nāḍikās. How to find the correction for other longitudes will
be given (in the next verse).
In short, what is here given is the difference in time due to difference in longitude alone from
Yavanapura of Ujjain and Banaras, Deśāntara-nāḍīs, being difference in time of the occurrence of
any event due to longitude, the occurrence being earlier by this time if the place is East, and later
if West. Actually the time difference due to longitude for Ujjain from Yavanapura is nāḍīs 7-38, and
for Banaras, nāḍīs 8-50. The Greenwich East Longitude of Yavanapura, Ujjain and Banaras are 30°,
75° 50′ and 83°. From this we can find the actual time difference: (75° 50′ − 30°)/6 nāḍīs = 7-38,
(83° − 30°)/6 nāḍīs = 8-50. But considering the difficulty of doing this faced by the ancients for
want of facilities, the achievement of the Siddhānta is commendable.
‘त्रिकृति’घ्नात् ‘खवसु’हृताद् योजनपिण्डात् स्वताडिताज्जह्यात्
अक्षद्वयविवरकृतिं मूल्याः षट्कोद्धृता नाड्यः || १४ ||
14. Take the distance in yojanas between the two places between which the
time difference for longitude has to be found. Multiply this by 9 and divide by
80. (The result is their distance in degrees). Square the result. From this
deduct the square of the difference in latitude between the two places. Find
the square root of the remainder. (This is the East-West difference in
degrees). This divided by 6 is the time difference in nāḍikās.
The purpose of finding this time difference is ultimately to find the time difference for longitude
from Yavanapura, so that it may be used in the reduction of the planet found for Yavanapura mean
sunset to the local sunset. If by this rule, the time difference from Ujjain or Banaras is found, then
14a. A.त्रिकृतिघ्ना खवसु
13a. A. यवनान्तरजा; B 1.3. युवनाच्चरनाड्यः b. A.पिडात्; B 1.2.पिण्डाक्षता०; B3.पिण्डक्षता०
b. A.B 1.2.वन्त्यास्त्रिभाग A.B.°ता जह्यात् ( B3. जह्यात्)
c. B2.वाणारस्यां c. A.B.विवरक्रति
d. A1.साधमन्यत्र: A2.साधनमत्पत्र d. A.B.2.मूला:; B 1.3.मूल्या:; C.मूलं
A1.B.षट्कोधृता; D.षट्कोद्धृतं
6