The True Ploces of the Planets 82. 45. In the case of all the planets, and both in the process of correction for the conjunction and in that for the apsis, the equa tion is additive (thatwhen the distance (kendra) is in the half orbit beginning with Aries subtractive () when in the half. orbit beginning with Libra. 'rho rulo contained in the last verse is a general one, applying to nl bhe procosses of calculation of the equations of pace, and has already been anticipated by ux above. Its meanin |g is, that when the anomaly (.keydre), or conormulation (cird sear), reckoned always forward from the planet to the apxis or conjunction, is less than six signs, the equation of place |s additire when the termer is more than six signs, the equation is subtractive The reason is ruare clear by the figuvok given above, and by the explanations unde" verso3 1.5 of this chnpte. It should have been mentioned above, undor verse 2, where the ord
- enda was first introduce, that ty employed in this sense by the Hin
dus, it properly signifies th Bः node to i. 53) of the entre of the epicycle -which coincides with the metun place of the planet itself -relative to the psis or conjunction rospectively In the text of the brya-Siddhanix it is used only with this sign nifiction : the (commentury employ; it also to designate tle centre of nny circle. Since the sun und moon hne but a *ngle inequality , according to the Hindu system he calculation of beir true places is simple and easy. With the other plancks he en 1x is different, on account of the existence of two causes distrbance their orbits, all the consequent necessity of in both of applying two equationsand also of allowing for the effect of each cuse in determining the equation due to the other. Fort, to the appre hension of the Hindu astronognet, it would not be proper to calculate the two equations from the menn place of the plauot; nor, again, to calculate either of the two from the man place, and, having applied it, to take the new position thus found as a basis for which to calculate the other since the plank, is virtually drawn away from jits +nen place by the divinity at either px rec) before it is submitted to the action of the other. The method aropted in thi Siddlhablk of balauring the two influence, and arriving of their joint effect upon ke planet, is stated in verse 43 and 44. Tho phaseology of he hext is not entirely explicit, and would bear, if taken alone, a difierent interpretation from that which the commentary puts upon it, and which the rules to be given later sho' to be its true meaning; this is as follows: first calculate from the mesa place of the planet the equation of the conjunction and apply tho half of it to the mean place; from the position thus obtained calculate the equation of the apsis, and apply half of it to the longitude as already 11