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
by आचार्य ब्रह्मगुप्त
DevanagariHindipublished737 pages
Page 152 of 737
Read in contextPage 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- |