४. ५४ 8%-Siddhant tb¢ the pevolutions and parts of R revolution accomplished down to the given time. Thus, let us indin illustration of the process, the armount , ot precession on the *Prs of January, 1880, Since the number of years alapsed before the beginning of the present Iron Age (Bah Juge) is divisible by 200, it is unnecessary to make out calculation from the commence. ment of the present order of things we say take the sum of days sinoe the current Age began, which is (see above, under i. 58) 1,817,345. Hence the proportion 1,57917,828d ; 30 , 1,811,45d : 0; gives as the portion accomplished of the curnt revolution, of this we are now directed (v. 10to take he part which dotermines the sine {dos, or bloje--for the origin and meaning of the phrase, see above, under 29, 80). 'This direction determines the character of the motion. libratory. For a motion of $1 02, 23 ete , ४lves, by 16, a precession 89°, 88° 87९ etc so that the movable p@unt virtually Yeturns upon its own brack, and, after moving ]80° has reverted to its ktarting-place. So its ¥a=the nobiou, from 180° to 270', gives a precession incrownsing frorm 0° to 8° in the opposite direction, &nd this again, is reduced to 0by the motion from 270 to 360 It is as if the second and third quadran fis were folded over upon the fish and fourth, so that he movable point can never, n ony quadrant of 1ts notion, ९ more than 0° distant from the fixed equinox. "Thusin tho 1nstanye taken, the bhuja of 248° 24 8,9 is ta supplement, or 68° 2 84,9 ; the firsy 180° !1aving only brought the movable point back to its original position, its resun८ distance from that position is tha excess over 180° ०f the Ang obtained us the besult of the first process. But this distance we are now farther directed to multiply by thres and divide by ben: this is equivalent to reducing it to the measure of an are of 2 , instead of 90°, as the quadrant of fibration, since 8; 10 ; ; 27: 0. This boing done, we find the Actual distance of the initial point of the sphere from the equinox on the first of January, 1880, to be 20° 24' B8, 8. 'he question how arises, in which direction is the precession, zhu a£gexisained, to be reckoned? And here especially is brought to light the awkwardness and insufficiency, and even the inconsistency, of the process as taught in the text. Not only have we no rule given which furmishes us the direction, along with the amount, of the precessional movernant, but it would even be a fair and attrictly legitimate deduction from veys 9, that bhat movement is taking place at the present think in n opposite direction from the actual one. We have already emarked above that the fast complete period of libratory revolution closed with the close of the iast Brazen Age, and the process of calculation hns shown that we are now in the third quarter of a new period, and in the third quadrank of the errent revolution. Therefore, i 'no yevolution is an eastward one a३
