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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 163, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 163

143
the aphelion gives the rectified aphelion. The S'ighra peri-
phery being reduced by the above degrees gives the rectified
S'ighra periphery in case the S'ighra anomaly is 90° < m
< 180 or 270° < m < 360°.
Comm. In the commentary Bhāskara adds that in the
case of Venus the Mandaperiphery of 11° as given is at the
end of even quadrants whereas at the end of odd quadrants
it is 9°, wherefore the enunciated rectification. Similarly
in the case of his S'ighraphala, the periphery of 245° men-
tioned is at the end of even quadrants whereas at the end
of odd quadrants it is 263°, and so the suggested rectifica-
tion. Again in the case of Mars, the aphelion as computed
is the same at the end of all quadrants whereas in the
middle of the quadrants it is to be increased or decreased
by 6⅔° when the anomaly is as stated. Also in the case of
this Mars, the S'ighra periphery mentioned is at the ends of
quadrants. In the middle of the quadrants the periphery
is to be reduced as suggested. In all these interpolations
Bhāskara accepts the Āgama as enunciated by Brahma-
gupta.
We shall deal with the geometrical nature of these
S'ighra peripheries shortly in the appropriate place.
Verse 26. To obtain what are called Bhujaphala and
Kotiphala both in the case of Mandaphala as well as S'ighra-
phala. The H sine and H cosine of the Manda or S'ighra
anomalies multiplied by the respective peripheries and
divided by 360°, or multiplied by r and divided by R gives
the Bhujaphala or Kotiphala where r and R are respectively
the radius of the Manda or S'ighra peripheries and R the
radius of the deferent taken to be 3438′. If the radius
3438′ be respectively multiplied by the Manda or S'ighra
peripheries and divided by 360°, the result will be the H sine
of the maximum Mandaphala or S'ighraphala, known as
Antyaphalajyā in either case.