28 The Complete HLngYuiTHjpenfatory. Parti.

Bay Salt is diiîblvcd in the AquaForth; i. e. the Force whereby theParticles of the Menfiruum attraitone another, is increaièd by the Ad-dition of thofe Corpufcles, whichare very attractive ; whereas there-fore the Force of the Menfiruum wasbefore as n, let us fuppoiè it nowto be advane'd to 1 6, when the A-quaFortis is tuin'd into Aqua Regia.Hence, if we compare the attrac-tive Force, you will find, that of theSilver to Aqua Regia, is as 20 to i<5,and the Velocity, with which the Cor-puicles of Aqua Regia ruih upon theSilver will be proportional to theDifference of Attraction, viz. 4. Ifall the Particles in Aqua Regia werejuif as big as they are in Aqua For -tis, then their Quantity of Motionwould bear the iàme Proportion tothe Coheiion of the Silver, as 4 to 3.But by Suppoiition, each Particle iseight times lei's, and confequentlymuft have but the .eighth part of theMoment ; ib that the Moment, withwhich theCorpufcIes of Aqua Regiaaft upon the Silver, compav'd withthe Coheiion of the Metal, will beas |, or -j to 3, i. e. as 1 to 6.Hence 'tis evident, tint in thefe Cir-cumliances, Silver cannot be dif-io.'.'d by Aqua Regia; but if wecompare the attractive Force inGoiii ro that in Aqua, Regia, weilia!! find it as 40 to 16; thereforethe Velocity with which the Parti-cles of it attack the Gold, will be83 the Difference, viz.. 24, whichNumber multiply'd by {-, (z. e. theMagnitude of the Particles) will giveus the Quantity of Motion, equal to*| or 3. We fuppos'd the Cohe-iion of Gold to be 2, which beingexceeded by the Force of the Men-firuum, muft yield to it, and be dif-iblv'd. It upon comparing the At-traction of the two Metals, that ofCold be triple, when the Attraction

of Silver is 20, that of Gold willbe óo ; and the Difference, whichthere is between the attractive Foresof Gold and Aqua Regia, viz. 44,multiply'd by y (the Magnitude ofthe Particles, in Aqua Regia) willgive a Moment equal to 4 |i, or -/.And iince the Force of Reiiftance,or Coheiion, is as 2, the Momentwill be to that as -^ to 2, or as 11to 4 ; that is, it wiil exceed it ai-mort thrice. The Examples we havegiven, may be vary'd infinite ways,but it will come to the lame thing;whatever Numbers are apply'd : butto make the Matter more general,let us fuppofe the Attraction ot Goldto that ot Silver to be as a to b ;and of Silver to Aqua Forth, as bto d ; but that of Aqua Forth toAqua Regia, as d to e. Let/iig-nify the Magnitude of the Particlesin Aqua Forth, and r thole in AquaRegia ; c the Coheiion of Gold, andg the Cohefion of Silver. If theDiameters of the Particles/ are grea-ter than the Diameters ot-the Poresof Gold, they can never diflblve theGold, let their attractive Force beever Co ftrong. But if b — d X /exceeds g, then the Sih er will yieldto that Menfiruum, whole Particlesare f, and lefs than the Pores ofSilver : And if b~~' e X r h lefsthan g, the Silver will never diiTolvein that Menfiruum, the Particles ofwhich are r, and the attractiveForce e. But if a — e X r be grea-ter than c, the Menfiruum, madeup of the Particles r, and wholeattractive Force is e, will be able topenetrate and diflblve the Gold.Now, becaufe, in this cafe, the in-determinate Letters are more thanthe given j£hiaatitics, it is evident,this Problem may be worked lève-rai ways, every one of which willequally folve the Quertion ; but

as.