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

CONCORDANCE OF WORKING RULES 311 which are in conjunction in longitude : BrSpSi. IX. 11. Also MBh. VI. 54 ; ŚiDVṛ. I. x. 11 ; SiŚe. XI. 10. 51. Rule For finding the Bhujaphala and Koṭiphala etc. without the use of the RSine-difference table : BrSpSi. XIV. 23-24. Also MBh. VII. 17-19 ; SiŚe. III. 17. 52. To obtain the Sun's mean true longitude derived from the midday shadow of the gnomon : BrSpSi. XIV. 28; III. 61-62. Also MBh. VIII. 5; SiŚi I. ii. 45. 53. Rule to find the arc corresponding to a given RSine : BrSpSi II. 11. Also MBh. VIII. 6; SūSi. II. 33, ŚiDVṛ. I. ii. 13, SiŚe. III. 16, SiŚi. I. ii. 11 (ii)—12 (i). For the concordance given here we express our indebted- ness to the work of K.S. Shukla on the Mahābhāskarīya. Tables of Constants Some of the Tables of Constants have been given in an earlier chapter. We here give a few more tables which would indicate how far Brahmagupta introduced new concepts in eva- luating these constants of greater accuracy and refinement. TABLE I Position of Planets for the Beginning of kaliyuga In this Table are given the positions of the planets, includ- ing the Moon's apogee and ascending node, for the beginning of Kaliyuga. The calculations of Brahmagupta are different from those of the Sūryasiddhānta and of Āryabhaṭa I,

Planet	Positions<br>BrSpSi.	according<br>Ārya.	to<br>SūSi
1	2	3	4
	s ° ' "	s ° ' "	s ° ' "
Sun	0 0 0 0	0 0 0 0	0 0 0 0
Moon	0 0 0 0	0 0 0 0	0 0 0 0