A 



, J O tr R N A L 



OP 



NATURAL PIIILOSOPIir, CHEMISTRY, 



AND 



THE ARTS. 



OCTOBER, 1811. 



ARTICLE I. 



Oa the Destruction of an Enemy^s Fleet at Sea by Artillery i 

 by W. Moore, ^4^., of the Royal Military Acadenty^ 

 Woolwich t 



Lemma I 



If two Spheres of different Diimeters avd Different specific Law of resist 



ance to a 

 non ball. 



Gravities impinge perpendicularly on two uniformly *•<?- ^^'^^ *° * **'** 



sisting fxed Obstacles and penetrate info them ; the Forces 

 which retard the Progress of the Spheres will he as the ~ 

 absolute resisting Forces or Strevgths of the Fibres of the 

 Substances directly, and the Diameters aad specific Gravu- ■ 

 ties of the Spheres inversely, 



JL^ET R, and r denote the absolute resisting forces of the Proof, 

 two substanres ; F and/ the retardative forces; D, rf, the 

 diameters of the spheres ; Q. q, their quantities of mat- "^ 

 ter; and N and n their respective specific gravities. Then 

 the whole resistances to the spheres, b^ng proportional to 

 the quantities of motion destroyed in a given time, will be 

 as the absolute resisting forces of the two substances and 

 quantities of resisting surfaces jointly ; or, as the resisting 

 forces of the substances and squares of the diameters of 

 Vol. XXX. No. 137.— Oct. 1811. Q th« 



