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 464, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 464

444 In other words to obtain the Bhuja rectified for parallax in longitude, we have to multiply the mean Bhuja by the Sthiti-khanda rectified for parallax and divide by the Mean Sthiti-khanda. Similarly to obtain the Sthiti- khanda rectified for the variation in latitude also, take the Sthiti khanda rectified for parallax as the mean and that rectified for variation in β as the True and then by the same procedure, Bhuja rectified for parallax in latitude will be equal to Sthiti-khanda rectified for parallax in latitude multiplied by the Bhuja rectified for parallax in longitude divided by the Sthiti-khanda rectified for parallax in longitude Bhāskara gives the names Sphuta Sthiti- khanda and Sphuta Saraja Sthiti-khanda to the Sthiti- khanda rectified for parallax in longitude and that rectified further for parallax in latitude. The proof adduced above accords with the statements of Brahmagupta, Śrīpati and Bhāskara ; Ranganātha bearing in mind Bhāskara's version puts a correct interpretation on verse 19, Lunar eclipses of Sūryasiddhānta. But the usage of the words Madhya and Sphuta in that verse, misled the modern traditional scholars including Burgess. If is to be men- tioned here that the word Koti translated as perpendicular by Burgess is misinterpreted by him (see his commentary under verse 19, lunar eclipses) as ‘ The perpendicular is furnished us in time and the rule supposes it to be stated in the form of the interval between the given moment and that of contact or separation’. This translation goes against the definition of Koti contained in verse 18 just above, since the Koti of Sūryasiddhānta is the Bhuja of Bhāskara and vice versa. We shall now see why there arose confusion in the minds of many modern commentators including Burgess. The problem mooted by the Sūryasiddhānta in calling for a rectification of the Koti, is to be noted as that when the grāsa g is given and not the Iṣtakāla I. The two formulae