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 316, कुल 573 में से
संदर्भ में पढ़ेंपृष्ठ 316
| Name | Description | Text | Ch. | Verse | Formula (with H) | Formula |
|---|---|---|---|---|---|---|
| Antyā | The length of the ⊥ ar drawn from Q the culminating point of the celestial Equator on the line drawn parallel to the East-west line through the foot of the declination circle of the rising celestial body | 14 | 13-17 | R + (R H sin φ H sin δ) / (H cos φ H cos δ) | R (1 + tan δ tan φ) | |
| Sama-Śaṅku | H cos z when the body is on the prime-vertical | S. S. | 17 | 20 | (R H sin δ) / (H sin φ) | R sin δ / sin φ |
| Taddhṛti | Perpendicular distance between the lines drawn parallel to the East-west line through the rising point and the point where the diurnal circle cuts the prime-vertical | 18 | ” | (R² H sin φ) / (H cos δ H sin φ) | (R sin δ) / (Cos φ sin δ) | |
| Pūrvāparā | East-west line | |||||
| Udayāsta Sūtra | Line joining the rising and setting points | |||||
| Unmaṇḍala Śaṅku | H cos z when the body is on the Equatorial Horizon | U. S. | 19 | 25 | (H sin δ H sin φ) / R | R sin δ sin φ |
| Dinārdha Śaṅku | H cos z at the culminating point | D. S. | 21 | 31-32 | H cos (φ ~+ δ) | R cos (φ ~+ δ) |
| 296 |