NUMBERS. 
Procefs. Ratios, Values. 
8 x 254 2032 
13 X 2544 t alc tae 1.625492. 
8 x 255 J _ 2040 
el 1.625490. 
8 x 256 _ 2048 
Teer + aie 1.625488. 
8 
x 257 205° — 5.605486. 
13x 257 +15 3342 
8 x 258 2064 
——_—2 —_$ = —— = 1.625484. 
13 x 258 + a 3355 a 
In this table, each ratio differs in value from the next 
preceding, on an average, about 24” of time, and oe a 
is the moft exaét, the error in it being fcarcely alad arloee 
it is not, es reducible into the form of a pradtica 
: o16 . : . 
train ; but 2 , the next in accuracy, which varies from 
27 
the truth only 2 in the fixth place of decimals, is con- 
vertible into the train 37 x 63. the value of which is 
113.29 
2247 16 43™ 1°, 
Befides this train, the ratio 1984 affords the train 32 
3225 75 
x 2 = 2244 165 4o™ 25%; and the ratio asta which is 
43 4355 
the leaf exa&, is convertible into . x or = 2247 168 
always be preferred, we have carried it ‘to a fufficien 
length. 
writer of this article has found 
which he has Space to # pees {ome of the wheels on the 
Earth’s annual arm conftruétion, Venus is carried 
once round 1m every opi as independently of the fimple 
he f that Mercury is 
a already adopted as the moft accurate, fhould remain 
as it is; but that the difference between the numerator and 
denominator be made a new denominator, by which means 
2016 
1261 
the reprefentative formula, and the value of the train = 
unity is ejected, and 1 + 
» inftead of 12 20 56, becomes 
2016 
VoL. XXV. 
however, is capable of forming the train 
63 32 _ 63 _ 32). 
=x 2, and 1 + — x *-lis equal to 214¢ 16" 42™ 1° 
13° OF 3° 97! — 
as before. 
The ratio = od might otherwife have been acquired by 
. 8 : 8 13 
taking r = 625, inftead of 4 ory = 1.625, before the 
approximation ; for ee t = eat is the fame 
5x2 5X 252 +1 1261 
refult as by the former procefs. For other calculations of 
this fort, fee PLANETARIUM 
Train for the Earth’s ee and diurnal Motions. —The 
ft importance, in 
ae that the train, which confifts of 
the sae between a ee ay 
year, as we have feen, eat of 36 8™ 48%, or, in 
ara: form, of 365 24222 days; the neareft fra€tion to re- 
prefent the decimal portion 24222 exactly, is ran and 
69 47 13 
oe ce 104359 “ ge ae ey 
365436 
which numbers Sila a movement for ns truth itfe f If, 
however, we wifh to 2 sania an mig mate ratio of as 
nearly an equal value e can obta — feaailee num bee 
than 269; the fmall Fraétion fuitable to approximate from 
are divifible into 
is = = 2424, and the neareft multiplier is 35 ; for 365 
8 Xx 35 
ee al 
x ~, the time correfponding to which is 365% 5" 48™ 
1156 
es 4 17 
~ 422220 
is reducible into —- x 
227 60 
475.3, which will be allowed to be exact enough for the 
niceft purpofes, as - error in a year does not amount te 
three quarters of a fecond. 
he numerator 4 it will be paki is too {malla num- 
r for a pinion to confift of, which reafon let it be 
doubled, and alfo she fe among the denominators or rai 
by which alteration we fhall have a praCtical train of = x 
= . Here the large wheel of 227 will be fuitable for 
a a wheel in an orrery or tellurian, where the reft of 
= train is placed on the annual arm, and carri ried round it 5 
r for what is called the annual wheel in any orrery where 
all the wheels revolve in fixed fituations. 
its courfe through the heal ke in 6864 22" 4 
ing to our calculations from La Lande’s laft ahi ‘ehich time 
bears the fame proportion to a folar year that 1.880750 does 
te 1. In this example the {mall fraCtion will be~ Os 1.88, 
and 53 the neareft multiplier, as may be feen from re fubjoined 
table. 
Ee TABLE 
