NUMBERS. 
Wheels for the — Revolution of Juno—Taking Juno's 
If 82, the tenth pea were involved in this example, the 
at 4.35528 tropical years, we fhail have the 
numbers would run high for wheelwark, from which cir- tropical perio 
cumltance we may inter a he ratio 1104: 587» procured following ratios. 
from the ninth quotient, is very accu urate accordingly, onexa- 
mination, we find it to beequal to 6864 22" 17™ 585.88, in which 
period the error is little more than one ‘ae of time in defeét ; 
Procefs for Juno’s tropical Revolution. 
the denominator the fra€tion proves, however, to be 
3 > ’ f th d - a Ver 
es i divifible abe Sipe iands t 7 h the numesatar Divifors. Dividends. ee Formule. Ratics 
forms the faCtors 31 x 29; fo thata train more convenient 
than 3% x 73? cannot be obtained from this ratio, the - 
2 B 
value of which 1s 6864 22" 34™ 425, in which time the error I 
is much greater than in the train for this planet iain by ° 
our indire& method of approximation In this fer.es of ra- 4xXr+ 
tios, and alfo in all = of the fuperior planets that follow, —_ 435528 | 4 AxXoO+1 4 
the numerators of t refpectiv ve fractions exprefs the folar ‘lea 
Ss ich the f ame p , OY ofition with ref & 
bet en Earth and Sun, or to any particular flar in ie ie 35528 ae eon aa 2 
sag will ie “— eee of revolutions, exprefled by 71056 se ie = 
e denominators refpecti —_—— 
The Wheels for Vefta’s tropical Revolution.—If we take 28944 35528 I toe 33 
the tropical revolution of this planet at 3.65515 tropical 28944 IxX2+4+1 
years, we fhall have the fubjoined selalt, 
6384 | 2844 | 4 | t2BEI | & 
Procefs for Vefta’s tropical Revolution. 26336 4X 3+ 14 
2x 61+ 13 135 
Divifors. Dividends. ee Formule. Ratios aon’ ae : 2X 14 +3 31 
= 1368 2608 eo 4 196 
I 1368 1X 31 + 14 45 
I = 
° 1240 | 1368 - pe) oe 
100000 305515 3 | 3X =e} 2 1240 1X 45 +31 76 
300000 3xXxO+! I 
128 1240 9 
65515 100000 I aka ele = 1152 
6 5515 1xi1+o0 
34485 65515 ; IX4+3 4 " Here, ayain, the fifth quotient gives the fame ratio (2 
5 rae = a 
34485 IxXI+tt ‘ which we obtained before, and is perhaps as accurate as is 
x7 +4 . neceflary for the prefent, till the period itfelf is further 
31030 sehen I imo+t 3 rectified ; if not, ‘ may be taken; but the 331 in 
rer — : 8xu+7] 95 i is a prime, and the laft quotient, g, would increafe the 
27640 8x3g+2 26 _ rs too a unlefs a sae were,required for an inftru- 
ent with a compound fraction, which ae be eafily obtained 
3390 3455 ae keke) 7 17 | 206 a purfuing oe epee alittle further. 
1X 26+4 2 
3390 oe 
65 | 3390 50 
375 
40 
—_— 
_In this example we have aed at the fame refult as we 
the tie saree 5 
he 
hig 
engthc of the period warrant 
Wheels 
