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 536, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 536

516 In other words the star is within the Iṣṭa-nāḍi distance from the Sun and as C is behind A by Iṣṭa-nāḍis, the setting Sun at C will be behind (ie. has a lesser longitude) the setting star by Iṣṭa-nāḍis. Hence the star sets then heliacally. Thus we see that the Udayārka and Astārka given by the points B and C are respectively in advance (ie. has a greater longitude) and behind (ie. has a lesser longitude) of the Udayalagna and Astalagna removed by an Iṣṭa-nāḍī distance. It will be noted that the arcs AC and AB are not equal though the equatorial arcs corres- ponding to them are equal. Instead of finding C' from A' by the Vilomalagna method and taking its diametrically opposite point, Bhās- kara gives an alternative namely to find C from A' by the Kramalagna method the time being (60-Iṣṭa-nāḍikas). This is evident. Bhāskara prescribes only Ākṣa-Dṛk-Karma to be per- formed here in finding the Udayalagna and Astalagna of the star because the star's polar longitude is already one in which the Āyana-Dṛk-Karma is contained. Thus from fig. 121, when the Sun-rises at A, the star rises, when the Suns rises at B the star rises heliacally and when the Sun sets at C, the star sets heliacally. Verse 15. If in the case of a star, the Astārka happens to have a longitude greater than the Udayārka on account of a very big northern latitude, that star does not set heliacally (and so the question of heliacal rising does not arise). Comm. In Fig. 121, the Astārka C happens to have a longitude less than that of B (because CAB is the dire- ction of increasing longitude ie. positive direction). At times it so happens that C lies towards the positive direction of B ie. it has a longitude greater than that of B.