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 422, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 422

402 Latter half of verse 33. To know the magnitude of the eclipse at any given moment during the course of the eclipse. Let the product of the time elapsed from the moment of first contact and the length of the path of the eclipsing body traced from the moment of the first contact to the middle of the eclipse divided by the time between the moment of first contact and the middle of the eclipse, be x. Similarly let the product of the time before the end of last contact and the path of the eclipsing body traced between the middle moment of the eclipse and the moment of last contact divided by the time between the middle moment and the moment of last contact be y. Lay off x and y units of length from the first and last points of the path of the eclipsing body along the path respectively. Then we get the points of the centre of the eclipsing body at the required moments. With these points as centre and radius p, if circles be drawn, they represent the eclipsing body. The length of the diameter of the eclipsed body shaded, gives the magnitude of the eclipse called grāsa. Comm. Here rule of three is applied namely “If during time T₁ or T₂ a path equal to l₁ or l₂ in length is traced what length will be traced in times t₁ or t₂?”, where T₁ and T₂ are the times called Sparsa-Sthiti-Khanda and Mokṣa-Sthiti-Khanda respectively, l₁ and l₂ are the times elapsed from the moment of first contact or before the moment of last contact and t₁, t₂ are the times from the beginning of the eclipse and before the end of the eclipse respectively. Then x and y give the points where the centre of the eclipsing body lies. Verse 35. Given the magnitude of the eclipse at any time to obtain the time elapsed after the first contact. The time taken by the centre of the eclipsing body to move through the segment of the path of the eclipsing