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

IX.23 IX. SAURA-SIDDHĀNTA — SOLAR ECLIPSE 221
[लम्बितपर्वान्तः]
शङ्क्वङ्गुलाख्यविंशतिशतकृ(त्योर)न्तरेण विश्लेषात् |
स्थि(त)वर्गान्मूलं द्विनवकाहतं (त)द्वि(भ)ज्य कक्षाभ्याम् || २२ ||
भागविशेषा(त्ति)थिवत्तिथ्य(न्तनाम) पुनः पुनस्तत् स्यात् |
एवं मृग्यः कालस्तूत्पन्नो यावदविशेषः || २३ ||
Parallax-corrected New Moon
22-23. Subtract the square of the Sun's śaṅku got above from 14,400. From
the remainder subtract the square of the Sun's dṛk-kṣepa kept apart in the
previous work and find its square root, (technically called Dṛggati). Multiply this by
18 and divide by each of the kakṣās of the Sun and the Moon. Find the respective arcs
(in minutes) and get their difference. Treat this as the minutes of tithi and find the
tithi-nāḍīkās for this. Subtract the nāḍīkās from the time of new moon if forenoon, and
add, if afternoon. The parallax-corrected new moon (p.c.n.) is got. Repeat the oper-
ation of finding the p.c.n., till there is no difference (in time) in two successive opera-
tions. This is the p.c.n. (to be used in the subsequent work).
Though there is no doubt about the idea here, it is difficult to get the idea from the words used,
on account of several corrupt readings. In verse 22, a word is broken at the end of the third foot,
and there are 18 mātrās in the fourth, sinning against the Ārya metre. In the same verse, in the sec-
ond foot NP has emended viśleṣāt into viśeṣitāt against the manuscript readings, an emendation that
is not needed. In the 23rd verse, evam mṛgyaḥ kālaḥ is a repetition. TS have succumbed to this diffi-
culty and give the wrong interpretation that the difference between 14,400 and the square of the
śaṅku, should be subtracted from the square of the dṛk-kṣepa, unaware that this is impossible since
the latter would always be less than the former. We shall show this in the explanation. As for calling
the Sun's śaṅku as 'digits of śaṅku' we have seen it being technically called so in chap. IV.
The method enunciated here is as follows:
(i) Dṛggati = √(14,400 − śaṅku² − dṛk-kṣepa²).
(ii) (a) Sin Sun's parallax in long. = 18 × (i) ÷ Sun's kakṣā
(b) Sin Moon's parallax in long. = 18 × (i) ÷ Moon's kakṣā.
From the two sines, the arcs should be obtained in minutes. The Moon's minus the Sun's parallax
is the (effective) parallax in longitude.
22a. B. ॰ख्यं विंशति
b. A. शतकृशोनंतरेण; B. शततशोनन्तरेण (B2. त्तरेण;
B3. त्तरेण)
D. विशेषि[त]त्
c. A.B1.2. स्थिति
d. A1.B. हतं सद्भिभाज्य
A1. कक्ष्याभ्यां
23a. A. विशेषस्तिथि; B.C. विशेषास्तिथि
b. A. तिथ्यर्द्धान्तामतः; D. तिथ्यर्द्धातामनः;
C. तिथ्यन्तान्नामतः; D. तिथ्यन्तोऽतः पुनः
d. A. ऽक्षूत्पन्नो; B. तत्पन्नो
B. यावदवशेषः