Procefs for Mercury's tropical Revolution. 
NUMBERS. 
Wheels for the tropical Revolution of Venus.~If we reduce 
the folar year an 
the true large r. 
525948.8 
323561.5° 
of approximation : 
tropical period of Venu 
ratio conftituted of thefe eset will be 
$ into minutes, 
from which we fhall have the following procefs 
Procefs for the tropical Revolution of Venus. 
Divifors. | Dividends. le Formule. Ratios 
Oo 
: 
I 
° 
1.000000 + 151967 | 4 5 a = 
000000 4Xo041 I 
151967] 1000000 | 6 o> aa hot] 
911802 6x I+0 6 
88198 | 151967 I ag WET mc 
88198 rx641 7 
63769 | 88:98 I at aie) 54 
63769 Se ae 13 
24429 | 63769 2 <4 £29 | 137 
48858 WB+7 33 
~ 137 + 54 | t9t 
TAQII| 2442 i S 
ond X 33 +13 | 46 
1X 19 -+ 137 | 328 
18] 14911 I ns 
cane ae 1x 46+ 33 | 79 
; rX 328 + 191 | 519 
5393 | 9518 ml eee ae | ee 
5393 tx 79+ 4 125 
IT xX 519 + 328 847 
4125 re IX 125 +79 | 204 
3 x 847 + 519 | 3760 
1268 rae 
ate 3 | 3x 204 + 125 | 737 
We have here been able to advance as far as ta ten quo- 
tients before the numbers became too high, and yet the laft 
3060 737 » 18 the fame as cag 
060 g180 
which was procured by our indire& method of approxima- 
tion, and which affords the convenient, as well as very ac- 
67 
II 
curate train, x — 
go 34 
ratio, » or by inverfion - 
= 874 238 14™ 35%.726. 
If, inftead of a the ratio of velocity 4051907, we 
had ufed the fraQion confifting of the tropical periods es 
into minutes and decimals of a minute thus, 7— eae the 
fame quotients, a confequently, the — train would 
have been produced as we have here obtai 
From this ae of ratios we fee that, anes the lapfe of 
737 years, the Earth, Sun, and Mercury, will be in the 
fame relative fituation with refpe€& to each other in the 
ecliptic, that they were at the beginaing of that period, 
and will be nearly fo in the years 204, 1 &c. aftera 
given time, but lefs accurately as to the rp of the day, the 
{maller the number of years denominated 1n the feries. 
Divifors. Dividends, bie Formule. Ratios, 
sg 
~1 
= 
fo) 
323561.5 | 525948.8| 1 Sa he 
3235615 at : 
2023873 eer I te A le 2 
2023873 ee - 
. Ix2-+ii 3 
T211742| 2023873 | 1 ibs p teen = 
4 1211742 IXI+I1 2 
-_ 7 IXj3t+2 . 
812131] 1211742 {| 1 Ss 7 
° se eee 2 3 
2X 5+ 13 
399611 | 812131 2 a ae 2 
799222 2X 342 8 
7 30x 13 +5 | 395 
12909 | 399611 30 
9 38727 39 x 8+ 3 243 
f 1x 395 + 13 | 408 
12341 | 1290 I Se 
34 4 I xX 243 + 8 251 
oe 896. 
21 x 408 + 395 | 9993 
68] 1 
3 ae 70 laa x 251 + 243 | 5514 
981 
568 
7 1 x 8963 + 408 | 9371 
413 ae * lr x g514 + 251 | 5765 
In the feries of ratios here obtained the three laft are in- 
capable of forming factors proper for the aumbers of a train, 
and 32, the value of which is 2249 16" 38™ 29°.2, is the 
me ae Martin fays he availed himfelf of in his «« Orrery ofa 
w Conftru@tion ;”” the train into which it is reducible may 
In chic ee it fe ponte the a method of approxi- 
mation gives rate pratical train, than o 
prefe nt met hod. Shou d we, vee fabftitute other qro- 
tients for one of the a laft in the table, a train of greater 
accuracy ae . procured, but perhaps not without a 
fucceffion of tri : 
In the decane of thefe fucceffive ratios we hav 
alfo the equal intervals in years, after which a eqs 
of Venus with the Sun, or any other pata a 
2 9) 
