ब्राह्मस्फुटसिद्धान्त (ब्रह्मगुप्त - शून्य, कुट्टक, बीजगणित एवं सम्पूर्ण २१ अध्याय सान्वय सटीक)

ब्राह्मस्फुटसिद्धान्त (ब्रह्मगुप्त - शून्य, कुट्टक, बीजगणित एवं सम्पूर्ण २१ अध्याय सान्वय सटीक)
Brahmasphuta Siddhanta of Brahmagupta with Commentary
आचार्य ब्रह्मगुप्त द्वारा
DevanagariHindipublished737 पृष्ठ
पृष्ठ 152, कुल 737 में से
संदर्भ में पढ़ेंपृष्ठ 152
112 INDIAN LUNI-SOLAR ASTRONOMY Greek value=5°0'. Modern mean value=5°8'43".427 (Brown) This discrepancy confirms the conclusion, that the observa- tion of the Moon was restricted to the time when she was near a node, either at solar or lunar eclipses, where a small error of observation magnified itself into about half a degree. We now turn to the parallaxes of the Sun and the Moon :-
| Sun's Mean Hor. Parallax | Moon's mean Hor. Parallax | |
|---|---|---|
| Āryabhaṭīya | 3'55".62 | 52'30" |
| Kaṇḍakhādyaka | 3'56"5. | 52'42".3 |
| Ptolemy | 2'51" | 53'34" |
| Modern values | 0'8".806 | 57'2".79 |
| As to the Sun's horizontal parallax, the ancients were of | ||
| course totally wrong, but in respect to that of the Moon their | ||
| values were fairly approximate. | ||
| We next consider the angular semi-diameters of the Sun | ||
| and the Moon. These are :- | ||
| Moon's Mean Semi-diameter | Sun's Mean Semidiameter | |
| :--- | :--- | :--- |
| Āryabhaṭīya | 15'45" | 16'29".4 |
| Khaṇḍakhādyaka (Brāhmasphuṭa-siddhānta) | 16'0".22 | 16'15" |
| Ptolemy | 17'40" | 15'40" |
| Modern values | 15'33".60 | 16'1".8 |
| Here also the Indian values are more accurate than the | ||
| Greek values. | ||
| Moon's Equations. The First Equation. | ||
| It remains now to consider the Moon's equations in ancient | ||
| Indian astronomy. As has been pointed out before, obser- |