﻿OF THE HINDUS. 249 



being the difference of those arcs, and 2:9 the dif- 

 ference of their sines, I-5 x /' —160', 36", or a mean 



proportional number, to be added to the sine of the 

 third tabular a'c, for the sine required of 14° or 

 831' 36". In the sexagesimal arithmetic, which ap- 

 pears to be universally used in the Hindu astronomy, 

 when the fraction exceeds half unity, it is usually 

 taken r hole number: Thus, 831", ^j", 35'", 



would be • rit'ten S31', 36. 



T account for the apparent unequal motions of the 

 pla lets, which they suppose to move in their respec- 

 ti • orbits through equal distances in equal time.-, the 

 Hindus have recourse to excentric circles, and deter- 

 mine the excentricity of the or'nits of the sun and 

 moon with respect to that circle, in which they place 

 the earth as the centre of the universe, to be equal to 

 the smes of their greatestanomalistic equations, and ac- * 

 cordingly that the delineation of the path of either may 

 be made in the following manner ; 



Describe a circle, which divide as the ecliptic into 

 signs, degrees, and minutes I note the place oF^ne 

 Mandochcha^ or higher apsis, which suppose in ^ . 

 Draw a diameter to that point, and set off from the 

 centre towards the place of the apogee, the excen- 

 tricity equal to the sine of the greatest equation, which 

 of the sun is 130' 32'^ Here the excentricity is re- 

 presented much greater, that the figure may be better 

 understood. Round the point E, as the cent e, des- 

 cribe the excentric circle FGH1, which is the sun's^, 

 orbit, and in the point H, where it s cut by the line* 

 © S prolonged, is the place of the Mandochcha, or 



^higher ^psis ; and in tae opposite point F is the 

 lpwer. From the place of the apogee H, set off its 



^longitude in reverse, or contrary to the order of the 

 signs, for the beginning of Afies, and divide this 



R 4 



* 



