Appendix.

82. Having the Quantities of Matterm the Earth and Moon, the Distance ofcommon Centre of Gravity is deter-mined : For the Distance of the Moon fromEarth’s Centre is to this Distance as4 °,31 to 1 ; which Ratio is more accurate^an that of 41 to 1, made use of in Annot.^XXVI. Art. 2.

83s The Theory we have here been ex-Piaining is applicable to any System of three° r more Bodies, as well as to the Sun, the^srth, and Moon, Thus the perturbatingforces and Irregularities of Motion in thesystem of the Sun, Jupiter , and any of hismoons, may be estimated in nearly the^tne Manner, (mutatis mutandis) as alsol We of the Sun, Saturn, and his Satellites ',«lastly, between she Sun and primaryJanets, by putting the Cafe more gcne-mily, (as Sir Isaac does) in supposing both^ and P to revolve about the fixed central^°dy T, which we may suppose to he the^h, and S and P any two of the Planets4t pleasure. Therefore, to use the Author’sWords (in another Cafe) for Conclu-*’°n : U/us igitur bujus I'h cor ire latifjimepat et ;^ l(ite patendo, Veritatem ejus evincit ,

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