NUMBERS. 
Wheels for the tropical Revolution of Saturn.—Saturn per. 
forms his rev 
‘IN 29-42377 
the following proce 
olution thro 
ough the ec 
cliptic, as we have ian, 
tropical years, therefore we may proceed by 30589.3520 
fs. 
| 
Divifors. | Dividends. nae 
j 
1.00000 | 29.42377 | 29 
2 2900000 
42377 | 10co0O 2 
84754 
15246 | 42377 @ 
30492 
11885 | 15246 E 
11885 
3361 | 11885 3 
10083 
1802 | 3361 I 
1802 
1559 | 1802 I 
1559 
243 | 1559 6 
1458 
Formule. Ratios. 
fe) 
a 
= 
fe} 
29xX 140 29 
“29 XO-+1 I 
2X 29+1 59 
"2X Eo 2 
2xs9+29 | 347 
2x2+4+1 5 
1X 147 + 59 206 
Ix5+2 4 
3 X 206 + 147 765 
3xXx74+5 26 
1 x 765 + 206 971 
1x 26+7 33 
1X 971 +765 | 1736 
9 X 33 + 26 59 
6 x 1736+ 971 | 11387 
6 x 59 + 33 387 
The numerator in the laft ratio of the feries is not capable 
of affording praétical faGtors, and the preceding ratio, 
is the fame as the one already determined both by the fliding 
ae and by our indire& method of approximation. 
VoL. 
RXV. 
1736. 
We come, laftly, to the tropical iia of the Georgian 
planet, rae e have feen revolves th the ecliptic in 
das me its numbers may ie afcertained by 
the following proce 
Divifors. Dividends. hal Formule. Ratios. 
= 
I 
I 
°o 
365.24222 | 30589.35208 | 83 Ae Se eae 83 
2921937777 ee ae 
136997431 
109572666 . 
+x 8 
27494764 30524222 a at 84 
27424764 os , 
x 84+ 8 
9099457 | 27424764 3 | SA 3 | 335 
27298373 lee | 4 
71_X 335 + 84| 23869 
126391 | 9° I —— 
39 oe 7 7Ix441 285 
252087 
126391 
° ; 1 x 23869 + 335] 24204 
125696 | 120391 t 
599 ie 1x 285 +4 | 289 
694 | 125696 181 
The value of | the laft ratio of this feries is equal to 
cal years, which differs from the exa& 
4 ty in the feventh place of decimals, but unfor- 
tunately it is not reducible into lower numbers than 
; and the numerator of the next preceding ratio 
is a prime number, fo that we muft either ufe ==7. 335 222, which 
has been before determined, or otherwife fubftitute = 
quotient for 71; the moft convenient, we find from a few 
,» the value of 
trials, will be 66, which gives the ratio oe 
which is a revolution in 83.750943 tropical years, or 30589% 
9" 8™ 10°.7, and is capable of forming the train 3 x oR 
generally come by 
y either of thefe ceethods the oe of all the fe- 
condary planets may te reprefented i ratios — for 
Ff poling 
