nan 
u may pro nt 
to find one ratio of 2 a raed ize for the motions of both. 
Procefs for the tropical Revolution of Ceres and Pallas. 
Divifors. Dividends. hase Formule. Ratios. 
pe 
I 
= 
nm ) 
4xX1+0 4 
1.00000 | 4.60 4 = + 
pee 4xXxo+I I 
60 100000 I SE ia 5 
339 60339 IX 1I-+0 I 
39661 60339 I a Bas 9 
39661 ixi1+2 2 
+5 I 
20678 | 309661 2 eee) on 
20678 ae 3 
18983 20678 I ESE) 23 
18983 Ix3+2 ¢ 
Il X 23+ 14 | 267 
1695 1898 ry} —————— ] 2 
69 cee mux 5 + 3 58 
1933 
1695 
238 1695 7 (Maes Ba aE = 
1666 7x 58+5 | 643 
In this feries of ratios 643, the denominator of the moft ac 
curate fraction is a prime a but the preceding fraétion 
=a ee © x 77 ormore convenient] 
— —); y 
~ 20° 58 
for praCtice 7 x 7 the value of which is 16817 84 58™ 
41°, the aflumed mean being 16814 8" 20™ 30%. The ratio 
is reducible into 
33 is the fame as was before determined from the fliding rule, 
without further approximation, 
: 1.00000, therefore we mutt mane aa 
Procefs for Jupiter’s tropical Revolution. 
Divifors. | Dividends. nee Formule. Ratios 
= 
I 
cae 
fo) 
1.00000 - 85682 | 11 UxIT9 = 
#60006 IIxXo4+I I 
85682 | 100000 1 shite si 
85682 Ix I+0 I 
14318 85682 5 a tet tt is 
71590 neat : 
a 1x 71 + 12 83 
14092 | 14318 I — = 
i 1x641 7 
~~ 62 x 834 71 21 
226 | 14092 62 —— +. iLwA 
1356 62x 7+6 440 
532 
452 
80 | 226 a | 2% 5217 +83 | 10517 
160 2X 440 +7 887 
66 | 80 : 1X 1osi7 + + 5217 | 10734 
66 1 x 887 + 440 | 1327 
14 | 66 4 
56 
The denominators i in the two laft raties of this feries are 
hth 
be er; ’ neceffarly {ubttitute unity for 2 
in the Gah aucune by which fubftitution we fhall have S 
ratio or fra@tion 93°° — 159 x - when put intoa prac- 
tical form, the period sagas Naat to which is 4330¢ 145 
4u™ 175, 2 which is ear t more accurate than the one 
a iene ned by o nee te ethod of ia cae, 
not fo comicient ce a el conn aion. Then 
8 
bers “3 | obtained from the fourth quotient, are thofe ufed 
in the common planetarium of the fhops. 
Wheeks 
