66 On the PRINCIPLES of the 



which has to B a ratio, having to the ratio of A to B the fame 

 ratio of R to Q»_is geometrically expreffed by 



or, which comes to the fame thing, that the expreflion, 



R R R— Q ^, R R— Q . R-^Q.^,^ ^ 



A — + — . A -^. N+ — . — _-> A-— --=rN^ + &.c. 



_Q. Q. Q. g ^0-. Q^ , exceeds the 



^R— Q-. 

 B- ^ 



Q. 



aA 



geometrical expreflion, ^ — , or 



R_0 , A— B R— Q R-20 , A^z , , - 



A + -^-. A .-^ + -^. _^. A .-^1 + &c. by the afore- 



faid geometrical expreflion. 



In the fame page, I have fliewn, that the excefs of the mag- 

 nitude, which has to B a ratio, having to the ratio of A to B 

 the ratio of R to Q^ above the magnitude, which has to B a ra- 

 tio having to the ratio of A — N to B the ratio of R to Q^ is 

 geometrically expreflTed by 



S= i<^. g 1.^7; — -^^= , or, which comes to 



the fame thing, that the expreflion, 



R 

 ^■q" r_o a— b r_q R-20 . aIIbI' 



^ , or A + — — ^. A .— £— + -7~'-— TT^- A . —r—\ + &c. ex- 



„R-Q: Q- B qL 2Q^ B 



ceeds 



