1880.] 



Dr. G. Tbibaut — On the SuryniyrajTiapti. 



185 



4 9 



at the time. Then multiply 1 + — + — by fourteen ; the result 



. , . 56 126 , . 60 2 _ . . 



IS 14 + — + :r, t:^ — 1* + t:^ + ^Ti 7:j;- This is the number 



07 31 X 67 67 31 x 67 



of circles which the moon has passed tlirougli during fourteen parvans in 



addition to fourteen ayanas. As this number exceeds the number of circles 



(13\ 

 viz., 13 — j, the latter number has to be 



deducted from it and one has to be added to the number of ayanas. So 

 we see that the moon has j^erforraed 15 ayanas at the end of the 11th parvan. 

 The remainder left after the above deduction shows the number of circles 

 which the moon has passed through in addition to the 15 complete aj^anas ; 



47 2 



in our case these amount to 1 + — r + —■ As there is an excess 



07 31 X 67 



above 15 complete ayanas, we have according to the rule to add one to 

 their number, i. e., the parvan takes place in the sixteenth ayana. And 

 since the moon enters at the beginning of the ayana into the second circle 

 (the circles being counted from the innermost as well as the outermost) 

 and since in our case the moon has completed more than one full circle, 

 two has to be added to the number of circles found above in order to obtain 

 the ordinal number of the circle in which the moon stands at the expiration 

 of the 14th parvan. The full answer is therefore : the 14th parvan takes 

 place in the sixteenth ayana, in the third circle (reckoning from the inner- 



47 2 „ . . 



most circle), — + of this circle having already been passed 



^' 67 31 X 67 ° ^ 



through. In the same manner the places of all other parvans may be easily 

 found; the commentator gives the jjlaces of parvan I — XV; but it would 

 serve no jrarpose to extract them here. What has been given will suffice 

 to justify the hypothetical account of the moon's motion detailed above. 



The question regarding the relative velocity of sun, moon and stars 

 •which is raised in the 15th book finds its answer in accordance with the general 

 principles of the system. The apparent daily motion being considered as 

 the real one, it follows that the nakshatras travel faster than the sun, and 

 the sun again faster tlian the moon ; the space passed through by 

 each of these bodies during a month, daj^ muhurta, etc. is calculated and 

 exhibited in detail ; we need, however, only remember that the sun describes 

 in one yuga 1,830 circles, while the moon describes only 1,768 and the nak- 

 shatras — through whose circle the sun passes five times — describe 1,835. 

 From these relations all special values can be easily derived. It is just 

 mentioned — no details being given — that the jjlanets (graha) travel faster 

 than the sun and the stars (tarah) faster than the nakshatras. It is need- 

 less to discuss the former of these two assertions; the latter is of course 



