Shrgn-Siddh#nta +; ??? as right angles; Mme and ot ure therefore equal, each being the ७opiernment of Ev', and the triangles on' and MAP are similar. Hence b But 1EM; M ; : : MM' : P2n Hence, by combining terms, EM : 0 : : AM/; . te Bot ४ : E १ : E? therefore, since IBM equals Et, b ४ : to : : MMV : ]9+2 again connbining, end, reducing the proportion to an equation, ta, the required equation of motion, equals MM', the equatea mea synodical motion in A day multiplied by 28, and a vided by En, ahe wriable hypothenuse, This, howeveris not prooisely the rule given above; for in the text of this Siddhanta, mt, the difference between the variable hypothenuse and radius, is substituted for , as if the two crc virtually equivalent highly intccurate assumption, since they diffd' from one another by the verked sire ot, of the equation ot ihe conjueton, b, which equption is sometimes as nnue 4 ; 40° : and indeed, the conmenta£y, contrary to its 11xual habit of obsequiousness to the inspired text with which it has to deal, rejects this assumption na says without even an expology for thr liberty 1 aking, that by. 4 word radius in vorse 6) Is to be ultursdorf the exi (jzi) of the second donation of the conjunction an illustration of the role, we will calculate is true rate of daily notion of the planet Mars, at the same time for which the previous calculations have been rnate. By the process already illustrated under the receding pn£sagethe equation of Mars's daily notion for the effect of the apsis, As derived from bhe date of the third process for ascertaining his true place is found to ४-42¥, two diference of abnlpe sig!e* bsing 181. Accordingly ,
- ४
२५ ८ from the new daily motion of Marx (i. 34) deduct the (tuation for the apsis, 81 28* २ 41 2 45 larsa oubted doily motion, Now, to find the equated daily synodical motion, from tuba daily motion of Mars' conjunction (the sun), deduct his equated daily motion, 58’ 8* 8 45 Mars's equated daily synodical uotion, 81 28 The variable hypothenue used in the last process for finding the true place was 8984; ts excess above radius is 546. The proportion 8984 : 548y:: B2/28 : 418b show€, then, that the equation of motion due to the conjunction at the given time is 4 43", since the ypothapuse is greater than radius-->