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 507, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 507

487 Dakṣina Sankutala + Uttara Bhuja, since A₂ C₂ = B₂ A₂ + B₂ C₂. In the absence of a unifying convention, all these formulae are loose and apt to create confu- sion. So we shall unify all these formulae into the standard form A=S+B which holds good universally, if we have the conventions. (1) Agrā shall be deemed positive if it be north and negative if it be south ; (2) Similarly with respect to the Bhuja. But, with respect to the Śankutala, we shall deem it positive if it be south and negative if north. These conventions compre- hend all the cases and unify them into the standard form A=S+B. The corresponding conventions with respect to δ, a are that +δ corresponds to Uttarāgrā and +a corresponds to Uttara Bhuja. Having the above conventions, and finding the Bhujas of the Moon above the horizon and the Sun below the horizon, the Spaṣṭa Bhuja required in finding the Śṛṅgon- nati in the present chapter, is defined as the difference of the Bhujas of the Sun and the Moon and the sum thereof according as they are of the same direction north or south or of different directions. Also this Spaṣṭa Bhuja is by convention said to have the same direction as that of the Moon. If, however, the Bhuja of the Moon falls short of that of the Sun, then the Spaṣṭa Bhuja is said to have the direction opposite to that of the Moon. Verse (4). Definition of Koti. I deem that the Koti should be taken as the sum of the Śankus of the Sun and the Moon, the one being below the horizon and the other above respectively. Comm. We have defined above the Spaṣṭa Bhuja as the north-south distance between the feet of the Śankus