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 317, कुल 573 में से
संदर्भ में पढ़ेंपृष्ठ 317
297
| Technical term | Meaning in modern terms | Symbol if any | Formula number | Occurs under verse | Hindu formula | Modern formula |
|---|---|---|---|---|---|---|
| Yaṣṭi | The length of the $\perp^{ar}$ dropped from the culminating point on a plane parallel to the Horizon and passing thro/ the point of intersection of the diurnal circle and Equatorial horizon | Y | 21 | 33 | $\dfrac{H cos \varphi H cos \delta}{R}$ | $R cos \varphi cos \delta$ |
| Hṛti | The line in the diurnal circle corresponding to Antiyā in the plane of the celestial Equator or the length of the $\perp^{ar}$ from the culminating point on Udayāstasūtra | 22 | 3 | $H cos \delta + \dfrac{H sin \delta H sin \varphi}{H cos \varphi}$ | $R(cos \delta + sin \varphi tan \varphi)$ | |
| Sūtra | OM (O = centre of the sphere, M = foot of $\perp^{ar}$ on OQ from the foot of declination circle | 26 | 53–54 | $H cos h$ | $R cos h$ | |
| Kāla | Corresponding line in diurnal circle | 27 | ” | $\dfrac{H cos h H cos \delta}{R}$ | $R cos h cos \delta$ | |
| Iṣṭāntya | Line corresponding to Iṣṭahṛti, on the Equatorial plane | 28 | $\dfrac{R^2 H cos z}{H cos \varphi H cos \delta}$ | $\dfrac{R cos z}{Cos \varphi cos \delta}$ |