सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 420, कुल 573 में से
संदर्भ में पढ़ें400 any arbitrary moment whatsoever. With this Valana primarily laid in the Manaikyārdha Vritta, decide the Krānti Vrittaprachī or the East-West direction of the eclipse. Thus in the figure V₁ V₂ is this direction. Then lay off the computed Bhuja along this V₁ V₂ from M, say MA for the Sammīlana moment or the moment when totality begins or MC for the Unmīlana moment or the moment when totality ends or MD for an arbitrary moment. Draw AR₁ or CR₂ or DE equal to the latitude at the particular moment, perpendicular to the Valana- sūtra. In the figure drawn the Valanasūtra is shown to be the same. This does not mean it will be the same throughout. It will be changing because the position of the Ecliptic changes from moment to moment. So Bhās- kara uses the word ie. 'the respective Valanasūtra'. Also the latitudes will be differing from moment to moment as well as the Bhujas both of which are to be computed for any moment along with the Valana. (The method of computing the Bhuja was given in verse 15). Computing the respective Karṇas or the hypotenuses from the formula K = √(Bhujā² + Kōti²), (Kōti is here the lati- tude) with centre M and radius equal to the Karṇas, if arcs be drawn to cut the latitudes, the points of intersection would be no other than R₁, R₂ or E. Join MR₁, MR₂ and ME. With centres R₁ and R₂ and radii equal to p - r, (where p is the radius of the Rāhu-Bimba, and r the radius of the Moon's disc) if circles be drawn, they just touch the Moon's disc at F and G which are the points where totality begins and ends respectively. With centre E and radius P, if a circle be drawn, that will show what amount of the disc is shadowed as well as the measure of the magnitude of the eclipse (defined in verse 11). Note. In the above commentary and figure we have depicted MD as the Iṣṭa-Bhuja or the Bhuja at a given moment, taking a moment prior to the Unmī- lanakāla, for showing the magnitude of the eclipse.