357

Appendix.

-Arf, ii.) therefore

d

- ; consequently:

0 .:

: ; < L-. That is, The Quantities of

latter in any two Bodies are in the compoundRatio of the Cubes of the Distances direSlly ,n hd Squares of the Periodical Times inversely ,°f Bodies revolving about them.

73. In this Calculation the Bodies A and& are supposed at Rest. We consider theSun at Rest with respect to Venus , and Ju-piter and Saturn in respect of their Secon-daries ; and we have reduced the Distancethe Moon to 60 Semidiameters, at whichdie would revolve about the Earth at Rest.Now let the Distance of the Earth from theNun be put — '—

then Venus revolves about the Sunat the Distance — 5

the 4th Satellite of Jupiter at the ? I ,Distance — — 3

the 4th Satellite of Saturn at the 3Distance — — J

the Moon at the Distance 3>°54

sof Venus is 19414160 '

I'he Perio-J of the Jovian Sat. 144192 9"

dicalTime j of the Saturnian Sat. 1377674'Lof the Moon, 2360580"

A a 3

1000

723

' 47 ? 5 ,