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सर्वकोश
ब्राह्मस्फुटसिद्धान्त (ब्रह्मगुप्त - शून्य, कुट्टक, बीजगणित एवं सम्पूर्ण २१ अध्याय सान्वय सटीक)

ब्राह्मस्फुटसिद्धान्त (ब्रह्मगुप्त - शून्य, कुट्टक, बीजगणित एवं सम्पूर्ण २१ अध्याय सान्वय सटीक)

Brahmasphuta Siddhanta of Brahmagupta with Commentary

आचार्य ब्रह्मगुप्त द्वारा

DevanagariHindipublished737 पृष्ठ

पृष्ठ 345, कुल 737 में से

संदर्भ में पढ़ें
पृष्ठ 345

CONCORDANCE OF WORKING RULES 303
since the beginning of mean Caitra up to the mean sunrise on
the current lunar day.
Like wise
m months + d days + (ii) - (iv)
denotes the time in mean solar months, days, ghaṭīs etc.
elapsed since the beginning of the current mean solar
year up to the mean sunrise on the current lunar
day¹.
Let M, D, G, V, and P denote respectively the mean solar
months, mean solar days, mean solar ghaṭīs mean solar vighaṭīs
and mean solar pravighaṭīs elapsed since the beginning of the
current mean solar year up to the mean sunrise on the current
lunar day. Then evidently mean longitude of the Sun
= M signs, D degrees, G minutes, V seconds and
P thirds.
= (m signs and d degrees) + [minutes, seconds etc.
corresponding to (ii)] - [degrees, minutes etc.
corresponding to (iv)].
and mean longitude of the Moon
= 13 [m signs and d degrees + (minutes, seconds, etc.
corresponding to (ii)] - [degrees, minutes etc.
corresponding to (iv)]
because
[(1/12) mean longitude of the Moon - mean longitude
of the Sun.
= m signs + d degrees + (minutes, seconds etc.
corresponding to (ii)]
(This equality is based on the fact that the left hand side
denotes the mean lunar date also known as madhyama tithi).
A similar rule of these calculations of the mean longitude

  1. Because (iv) is equal to fraction of a lunar month between the beginning
    of Caitra and the beginning of the current mean solar year fraction of an
    intercalary month corresponding to the tithis elapsed up to the beginn-
    ing of the current mean lunar day since the beginning of Caitra fraction
    of an intercalary month corresponding to the avamaśeṣa, i.e., the lunar
    portion between the beginning of the current lunar date and the follow-
    ing sunrise.