भारतकोश
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.