सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 262, कुल 573 में से
संदर्भ में पढ़ें242
Bb = Sama-S'anku, and Dd unmandala S'anku. O₂b is not actually the Agrajyā but parallel and equal to it, since Agrajyā is the H sine of SE of fig. 21, which is the per- pendicular from S on Eω. Similarly do₄ is not the second segment of Agrajyā but a parallel and equal segment. Thus Bb is the perpendicular distance between EE' and FF' ie. Eω and a parallel through F to Eω (fig. 21.) Dd is the perpendicular distance between DD' and BB'; bo₂ is the perpendicular distance between Eω and SS'; do₄ the perpendicular distance between DD' and SS' (fig. 21) ; Bo₂ the perpendicular distance between FF' and SS' ; Do₄ the perpendicular distance between BB', SS'. In this fig. 39, O₁A is called Hṛti, Co₃ = Ishta-Hṛti or any arbitrary hṛti. Taddhṛti Hṛti and Kujyā are special cases of Ishtahṛti. Hṛti is the maximum of Ishtahṛti. Calling Aa, Bb, Cc, Dd S'ankus in general ao₁, bo₂, co₃, do₄ are called S'ankutalas. Aa is called Dinārdha-S'anku or the S'anku of the mid-day ; whereas Dd is the unmandala- S'anku and Bb Sama-S'anku. Cc is called Ishta-S'anku. Perpendiculars from A, B, C, D on the plane of the prime vertical are called S'anku-bhujas. Since B is on the prime-vertical itself, the S'anku-bhuja is zero and at this point BO₂ is Agrajyā. In the arbitrary case at C, the perpendicular from C on the plane of the prime- vertical being S'anku-bhuja, which is equal to the per- pendicular from C on Eω, and Co₃ being the S'anku-tala, and since the perpendicular distance between ML and Eω is the Agrajyā, which is equal to the sum of O₃ C and the S'anku-bhuja S'anku-tala + S'anku-bhuja = Agrajyā. (10) which is a different expression of (5). We shall present this analytically. Putting S'anku = H cos z, and using the latitudinality of Cco₃ (H cos z) / 12 = Co₃ / s = Co₃ / K applying similarity with the first fundamental latitudinal triangle where s = equinoctial shadow, and K the Viṣuvat-Karṇa. Hence we have