338 MijceOanea Curiofa. 



16*. And becaufc they are in Number infinite 

 (though equal to a finite Magnitude) the Dura- 

 tion is infinite : And confequently the imprefled 

 Force, and Motion thence arifing, never to be 

 wholly extinguished (without fome further Im- 

 pediment but perpetually approaching to A, in 

 the Nature of Afymptotes. 



17. The Spaces F/, F»j, F», &c. are there- 

 fore as Logarithms (in Arithmetical Progreffion 

 fncreafmg ) anfwering to the Lines A F, A L, 

 AM, dec. or to FX,, LM,MN, 6cc. in Geo- 

 metrical Progreflion decreasing. 



18. Becaufe FL, JLM, MN, &c. are as 



JL. -i-, -i-, &c. (infinitely) terminated at 



j therefore (by f 10) their Aggregate FA or 

 dh) is to D H 9 (fo much Length as would have 

 been difpatched, in the fame time, by (uch im- 

 prefled Force undiminifhed) as t to m — 1 = n . 



19. If therefore we take, as 1 to », fo A F 

 to DHj this will reprefent the Length to be di- 

 fpatched, in the lame time, by fuch undimifhed 

 Force. 



20. And if fuch D H be fuppofed to be divi- 

 ded into equal Parts innumerable (and therefore 

 infinitely fmall ;) thefe anfwer to thoie (as many) 

 Parts unequal in F A 9 or h d. 



21. But, what is the Proportion of r to 1, or 

 (W&ich depends on it) of 1 — rto 1, or 1 tow*; 

 remains to be inquired by Experiment ? 



X2. If the Progreffion be not infinitely continu- 

 ed 1 but end (fuppofe) at N, and its leaft Term be 



Az^M Nj then, out of = — H — ~ -f. 



R>, — I m mm m 



<fr. is to be fubdu&ed ■ (as at J io.) that is 



(as 



