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Volume III.
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A

S T R O NO M Y.

I. I T

^ ‘ is most simple, and agreeable to

e "Tenor of Nature in all her Actions;

Mve s

for

111 42 Hours, The outermost describes its Orbit; therefore fay, As 1764 (the Square of

402 Hours

V '* ls 10 161604, (the Square of 402) so is

Cub e of 2j) to „„ ly IS™?,* Cube of? 6

o r

216

ZiV u

five As the Distance of the fourth Satellite; which an-3 A° Observations.

& fll v r l bus analytically by Logarithms, LetL — Lo-flt bn t b e Period of the first Satellite, L — Loga-W ar -'? a ny other Satellite’s Period, and D and d the2 /;. ‘"st 1 * of their Distances; then will it be 2 L:^henA : 3 and therefore 2 L -f- 3 d — 7.1 + 3 D ;" We have d—D + j I—} L.

to ^ stance of the first in Semidiameters oijupiter

C r , tar-k-A. r '

HJ

s oftL* n ° se Hogaritbm is 0,753353.

0 Of f-L -UVgtUHUiU

^?8r,X Satellites give’UrhU^ > from wVipmpp vj

The Pe-

„ 2,32459, and ;L -

Urrt ber 5 trorn whence we get d — 0,95509, thepDh e r Corresponding to which is 9,07, the Distanceer vatj 0n C0l H Satellite, agreeing wonderfully with Ob-

^ 8un^, bpce the Moon turns round the Earth, ifI 0f bns -A bkewife perform his Circuit about it, their^ within ^ undoubtedly be regulated by the fame>7 t) a a ‘l the rest. But the Period of the Moon is.A 0,1 60 c at °b t b e Sun 365 ; the Distance of thes 729 / | ern ‘diameters of the Earth; therefore fay,

> 3bt. v s le . Square of 27) is to 133225 (the SquareA Cubg^ ls 216000 (the Cube of 60) to 39460356,w ^ u n’ s Tyn* u ’bereof is 340, which ought to expressif 6 ^ve st, '^ a uee in Semidiameters of the Earth. Bute a f 2 0q eWn the Sun is really distant from the EarthS 5 -Ad m °V (see J"**. CXXXIV. 18.)

^bbarnet Sun to be at the Distance of 2000a

T°l. TTT er . S > b* s Periodical Time would then be more

K ' than

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