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 



q:-^ (^ •^+(^: ^q^■'^ q,-^ '<^- ^Q^' sQ.' <L "^ 



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



R R R— O ^, R. R— Q R-2Q ,,, , 



A — - + — . A -^. N+ — . --—-S: A— — -^N^ + &c. 



0^0, 0, Q^ ^Q^ Q.^ , exceeds the 



geometrical expreffion, _^-_ , or- 



A n^, 



+ &:c. by tlie afore- 



, R— Q^ ^ A— B R— Q R-2O , "A^:^ 



faid geometrical expreffion. 



In the fame page, I have fhewn, 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 (^ is 

 geometrically exprelTed by 

 R R— O , R R— O R-aQ , 



-^- -^^^ ^ ^__Q -^==*= , or, which comes to 



'^ 



tlie fame thing, that the expreffion, 



R 



^q" R— Q a— B R— Q R-2Q ^ aIIb)' 



R-Q: ' Q^ B (^ 2(^ B 



ceeds 



