2<J Df. successiva mutationi 



quarum differentia dac ^ =s Vj > ^ eu P = 2 -^» 



unde fit Af== 'JT 7 — "?p* = ' :/ ? ; 



ideoque z M = j , ob /• = y^y, 5 



eric ergo^ = i (^ — nP), & j = ± — zn(R — Q). 



XXXIII. 



His jam determinationibus pro M 2c N iventis for- 

 mula noftra irrationalis fit : 



V(-m+i-Z)=V(- 



(l — qq) I ^ q cof. X 

 -1"  



ip p 



( I -+- qeof. X) 





mnde ob N= { colligitur 



d v 1 >^~ p q d I) fin. x _ d v q d q> yfn. * 



v v ' i Vip ' v v p 



C- . r I ' -+■ <7 c°f- x 



um autem lit -j = ^ Y ;  eric 



P 



d v dp, r d q cof. x q d x (in. x q d <p fin. x- 



— = — ( I •\-qcof. X) i— - J- I - = - JP 



vv p p p p P 



unde fequitur fore pro anomalia vera 



, , dp{i-*-qcofx) dqcof.x 



d x = d m — ; \r — * 



p qjin. x q Jin. X 



Ac ob i — q q = -2 eft q dq = "'-//< , Ccque fit 



. d p (i -f- q cof. x) dpcof.x p d r cof. X 

 d x s= d <p ; — 7 i -I — „ 



p q fm. x i q q rpn.x 2 q q r rjm. X T 



d p (i q •+- (i -+- q q) cof. x) dr p cof. x 



leu dx =d<T> H — • — „ 



1 p q qfen. x r r i q q fin. X 7 



ubi cum fit d p = — i n d P , &_ — «=s — z n- 

 [dQ — dR), eric ................. 



