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सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary

भास्कराचार्य द्वितीय द्वारा

DevanagariHindipublished573 पृष्ठ

पृष्ठ 499, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 499

479
This condition is also reverse to what has been stated
in the case of rising. The case of a superior planet rising
in the west also never happens, because it is the Sun that
overtakes the planet and also the superior planet cannot
be retrograde while near the Sun.
The case of rising which has already elapsed the Iṣṭa-
Kālāṁśas y will be evidently greater than x ie. y > x. To
obtain the time by which the rising will take place after
the moment in question, ie. the rising of a superior planet
which is direct and an inferior planet which is retrograde,
we have to take the difference of the prescribed and Iṣṭa-
Kālāṁśas and find out the time by rule of three as follows.
(1) Since we have to find the corresponding arc of
the ecliptic in minutes of arc, from (y - x) × 60' the
difference of the Kālāṁśas of the equator converted into
minutes ie. asus we have first to use the proportion. "If
by the rising time of the Rāśi t in asus in which the planet
is situated we have 1800' of the ecliptic, what will we have
by (y - x) × 60? The answer is (y - x) × 60 × 1800 / t .
Next we have to find the days when this arc of the ecliptic
is covered by the proportion. "If the Sun overtakes the
planet by (u - v) minutes of the ecliptic per day, how many
days are taken to cover the above arc?" The answer is
as stated.
The answer gives in days together with fraction of
a day when the planet is likely to rise. We have to repeat
the process because the motions of the planet as well as
the Sun differ from moment to moment and the time calcu-
lated above by rule of three taking into account their
motions for the entire day will be only approximate. The
computation in the case of setting of a planet may be
similarly considered, the setting of a superior planet in the
west or that of a direct inferior planet in the east.