424 Recapitulation of Principles [Book VI L 



contents, whatever form they may affume, fmce they 

 each lofe a weight equal to the bulk or volume of fluid 

 which they difplace. 



Thirdly, the fpecifk gravity of bodies is inverfely 



-as their bulk when their weights are equal. As one 



body has twice the fpecific gravity of another, when 



with the fame weight it has only half the magnitude 



of that other body. 



Fourthly, the fpecific gravities of two bodies are in 

 a direct proportion to their denfities, and in an inverfe 

 proportion to their magnitudes. This proportion is 

 a necefiary confequence of two preceding, viz. of the 

 firft and third. 



Fifthly, the fame body will lofe a greater quantity 

 of its weight in a fluid fpecifically heavier than in a 

 lighter one ; becaufe it will always lofe a portion of its 

 weight equal to the weight of that bulk of fluid which 

 it difplaces. It requires then a greater force to fuftain 

 it in a lighter than in a heavier fluid : it will require 

 more force to fuftain it in air than in water. 



Sixthly, the fpecific gravities of bodies of an equal 

 weight (when weighed in a common balance) are pro- 

 portionate to the weight which they lole in the fame 

 fluid. So that of two bodies of equal weight, if the 

 one lofes one- fifth and the other two-fifths of its weight 

 .in the fame fluid, the fpecific gravity of the firft is to 

 that of the fecond as two to one. 



Seventhly, if a body is of theJame fpecific gravity 

 as a fiujd, when immerfed in that fluid it will be in 

 equilibrium with it, and remain at any depth at which 

 it is placed. 



Eighthly, if a body fpecifically lighter than a fluid is 

 plunged entirely into it, and then left to itfelf, it will 

 remount with a force equal to the excefs of weight 

 which a volume of that fluid poffefies above an equal 

 bulk of phe body immerfed. 



Ninthly, 



