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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 415, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 415

395 of one lipta in addition to 2½, what should the increase be for an arbitrary H cos z '? The result is (H cos z / R) × 1 = cos z. Note 2. As finding cos z at the time of an eclipse implies additional arithmetical calculation, and as we have already with us the data of (1) the time elapsed after rise of the celestial body (Moon or Sun) till the moment of the eclipse and (2) half the duration of the day of the body ie. the rising hour-angle converted into time at the rate of 6° per nadi, so a rough formula is given using h in the place of z. The rule of three now used, is 'If for an unnata equal to the dinārdha or rising hour-angle converted into nadis, we have an increase of 1 lipta per angula (over and above 2½ liptas) what shall we have for an arbitrary un- nata ?' The result added to 2½ liptas, gives the formula one angula = 2½ + Unnata / Dinārdha . Dinārdha corresponds to H, the rising hour-angle and Unnata corresponds to (H-h) where h is the hour-angle at the time. Bhāskara uses the word 'Angula-liptas' meaning thereby the liptas that are to be taken to be equal to one angula while drawing the parilekha of the disc at the time of its eclipse. Verse 25. Converting Valana etc. into Angulas. The measures of the Valana (defined above) or the Sara ie. the celestial latitude of the Moon or the Rāhu Bimba or the Bhuja (defined) are to be converted into Angulas at the rate given by the above formula. While drawing a figure of the solar eclipse, the celestial latitude of the Moon is to be drawn in its own direction whereas in a lunar eclipse, it has to be drawn in the opposite direction. Comm. The first part is clear. Regarding the second statement, in as much as the centre of the Rāhu Bimba lies