Hydraulics.

.101

alw;

will be only

'r» a 7 S t ^ le ^ amc -> the perturbating Part wil

M, which will be as MO — T O, and so when0 = T 0 , then TM=j; which happens when Ps a t C or D ; and then also L M coincides with P T,. . both with C T ; whence since in that Case the■ne.OK becomes OC=OT, the perturbating ForcesLlU n ^ art van ‘^ 1 ( Vl%% T-M — o) and the other Part'will make the Waters at C heavier than in anyPlace ; and since every thing happens inversely,^ re g a rd to the Particle p, it follows, the Watersthe 1? points C and D will be at a less Distance from.Earth’s Centre than anywhere else, whence CTD^^b^the shortest Diameter of the aqueous Spheroid

of V 3 - The Sun at S is strewn to produce the fame Sorta ] ir e< ^ s u P on the Water, about the Earth ; only in

j, e ffer Degree. For tho’ the Momentum , or absoluteth° rCe 0 ^ the Sun upon the Waters is much greater than«of the Moon, yet the Parts of the Force which dis-^ r ° the Figure of the aqueous Globe, viz. L M anda nd TM, and T m, will in this Cafe be less thanth e ’ on account of the much greater Distance T Satl T O. As the perturbating Forces of the Moon ino e Points A and B are as B 0 J to A O 3 , those of the^es k e aS S B 3 to S A 3 . But the Difference ofb e 6 ktter Cubes is much less than that of the former,of their vastly larger Soots S B and S A. Fora n fO’Ple, Suppose OA=io, OB=ii; and S A—roo,

. ^B= 10I . then OA 3 : OB 3 :: iooo : 1331 :: ICO

nearI y- But SA 3 : SB 3 :: 1000000 : 1030301• *03 nearly.

a Hence we see, that both the Luminaries producea, id ft two opposite Parts of the Earth’s Surface ASp, > *n a Space of a Day proper to each, i. e. in theth e M°^ a Lunar and Solar Day , or the Time in whichCQpj'^ 0011 * or the Sun, after leaving the Meridian,t0 again. The Lunar Day (because of the^' d nh) S - t i U ' c ^ c Motion conspiring with that of theOf , Jj S about 50 Minutes longer than the Solar Daythe TH°urs. And those Tides will always he movinga soe Way, sometimes together, sometimes sepa-H 3 rately,