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 444, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 444

424 parallax in longitude to get the moment of apparent conjunction by the method of successive approximation. Comm. In as much as the moment of apparent conjunction for an observer situated somewhere on the surface of the Earth precedes or follows the moment of geocentric conjunction being preponed or belated by the parallax in longitude, we have got to take this parallax in longitude into account and compute the moment of apparent conjunction. This computation has to proceed according to the method of successive approximation since the hourly motions of the Sun and the Moon vary as well as the parallax in longitude. When the Sun is in advance of V, the Sphutalambana advances the Moon more than the Sun so that the moment of apparent conjunction is past. Hence the correction is negative and vice versa. Verses 8 and 9. Computation of the parallax in longitude without an appeal to the method of successive approximations. Let Para = (13 / 32) H cos ZV ; {Para ~ H sin ☉ L}² + H cos² ☉ L = K² H sin⁻¹ { (H cos ☉ L × Para) / K } = parallax in longitude. Ref. fig. 95, E₁ E₂ is taken to be what is termed Para equal to (4 / R) H cos ZV, H cos ZV being the Vitribha-Sanku. Since 4 / R could be written as (H sin 24 / R), since 4 ghatis = (4 × 360) / 60 = 24°, 60 ghatis being equivalent to 360°, (4 / R) H cos ZV = (H sin 24 / R) × H cos ZV. Imagining for a moment H cos ZV has come in the place of H sin d