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

306 BRAHMAGUPTA'S ASTRONOMY : ITS HIGHLIGHTS
63-64 ; SiŚi. I. ii. 47 (ii) (For RSine of the Declination).
BrSpSi. II. 56 ; also Ārya. IV 24 ; MBh. III, 6; LBh. II.
17 ; ŚiDVṛ. I. ii. 18 ; SiŚe. III. 66 ; . SiŚi I. ii. 48 (For day-
radius).
BrSpSi. II. 57-58 ; also MBh. III. 7 ; LBh. II. 18 ;
SūSi .II. 61; ŚiDVṛ. I. ii. 18; SiŚe III. 67 ; SiŚi. I. ii. 49 (i)
(For the ascensional difference).
12. For finding the times of rising of the sāyana signs at
the equator : BrSpSi. III. 15.
Also MBh. III. 9 ; SūSi. III. 42–43 : ŚiDVṛ. I. iii. 8 ; SiŚe.
IV. 15 ; SiŚi I. 11. 51.
13. Rule for finding the ascensional differences of the
Sāyana signs Aries. Taurus and Gemini : KK. 1. 21.
Also MBh. III. 8 ; PSi. III. 10 ; ŚiDVṛ. 1. XIII. 9 ; SiŚi.
I. ii. 50-51.
14. Rule for the determination of the meridian zenith
distance and meridian altitude of the Sun with the help of the
Sun’s declination and the latitude of the place ; BrSpSi. III, 47.
Also MBh. III. 11 ; LBh. III. 27 ; ŚiDVṛ. I. iii. 16 ;SiŚe.
IV. 42.
15. Rule for determination of the latitude with the help
of the Sun’s meridian zenith distance and declination :
BrSpSi. : III. 13.
Also MBh. III. 17: LBh. III. 34; SūSi. III. 15-16; SiŚe.
IV. 51,
16. Rule for finding out the Rsine of the Sun’s altitude
for the given time in ghaṭīs : BrSpSi. III. 25-26 Also Ārya IV.
28; MBh. III. 18-20; LBh. III. 7-10: ŚiDVṛ. I. iii. 24-25; SiŚe.
IV. 32,34; SiŚi. I. iii. 53-54.
17. Rule for finding out the Sun’s altitude : RSin α=
M×day radius gnomon
───────────── × ───────────────────────────────────────
R hypotenuse of equinoctial midday shadow
where M=R Sin (given ghaṭīs∓asc. diff.) Rsin (asc. diff.), the
upper or lower sign being taken according as the Sun is the nor-
thern or southern hemisphere, α is the Sun’s altitude. BrSpSi.
III. 27 (i).