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

XVIII.33 XVIII. VĀSIṢṬHA-PAULIŚA — RISING AND SETTING 335 Types III, IV and V, called, respectively, retrograde (vakra), extra-retrograde (ativakra) and follow-up after retrograde (anuvakra) are given in these verses. The first two are actual retrograde motion, and the third is the slow direct motion following. They are shown hereunder in a tabular form.

Signs	Pis-Ari	Tau-Gem	Can-Leo	Vir-Lib	Scor-Sag	Cap-Aq
Type III	-7°/42 d	-7°/43 d	-7°/44 d	-7°/43 d	-7°/42 d	-6°/37 d
Type IV	-9°/42 d	-10°/43 d	-11°/46 d	-10°/43 d	-9°/42 d	-9°/39 d
Type V	+16°/60 d	+17°/63 d	+18°/66 d	+17°/63 d	+16°/60 d	+15°/57 d
The division into the three types is arbitrary, based on some convention. By examining the table
we can see two things note-worthy. The total of arcs of III and IV is equal to V, though V is positive.
The days for III and IV are the same, except for Cancer-Leo, and Capri-Aquarius. There is sym-
metry on both sides of these sets. Guided by the above, I have emended certain numbers which
glaringly go against these points. In verse 29, nava for vakra is corrected into naga since it must be
less than the 9° given for ativakra, and both equal to 16°, clearly given for anuvakra. In verse 30, the
corrupt stara is changed into svara to make up the total 17°. The corrupt nuvāsanaiḥ is amended into
agnisāgaraiḥ, guided by symmetry. Khakṛteḥ is emended into trikṛteḥ since the number should be
greater than 42, by symmetry. In ver. 31 the corrupt sapta khārṇavaiśca divasān: is corrected into
rasārṇavaiḥ śivān aṁśān because 11° required to make up the total 18° for anuvakra. sapta is a repe-
tition, khārṇavaiśca divasān = 40 days, does not fit, since the maximum number of days is required
there, and 46 fits eminently. In verse 32, yama is corrected into naga since yamadahanaiḥ (= 32) is
too short a period, and far from the 42 days on both sides, and the number should also be a little
less than 39. reva ca, corrupt, is emended into nava ca, which will make up the total 15° of anuvakra.
वक्रे दिनत्रिभागैर्नवांशयुततुल्यजिनैर्भुक्तैः ।
अतिवक्रे विपरीतं वक्रमनुवक्रगस्र्यंशम् ॥ ३३ ॥
As for verse 33, the words in it are all perfect, without any corruption. But they do not make any
sense. It seems that some rules are given here for the division into the three types with their days,
and the proportion is roughly 5:7:12, of the degrees of all three combined. At any rate, this instruc-
tion does not seem to serve any purpose.
Ativakra represents the faster retrograde motion near opposition plus the slower vakra motion on
the other side. That is why it is greater and faster. But why exactly the same number of days? This
seems to be a convention. But this is against logic. For, only in Cancer-Leo, and Capricorn-
33b. A. तुल्य c. A1. अतिवक्ते; B. अतिचक्रे B2. विपरितं
D. नवांशयुतैस्तुल्य० B. जिह्वोर्भुक्तेः; d. B. वह्मनुगस्र्यंशं; D. ०मतिवक्रं स्र्यंशं
D. जिह्वैर्भुक्तैः