152 DE METHODO 



hocque modo fimul fequentes fubnormales fiunt difFe- 



rentiae abfciflTurum lequentium. Hinc igitur fumta pro 



prima abrciffa expreflione 



APrrxzrLCp^H-JVlCp-i-N, fubnormalis erit 

 PQ_3:47rL(p H-4 7t TT L-i- 2 TrMrr/ 



et fequentes fecundum differentiam SttttL progre* 



diuntur. 



2.6. Ponamus nunc applicatam curuae Plrrj', 

 €t quia ex fubnormali PQ^r^./ habetur ^j^ zz t^ erit 

 jy = ijtdx , ideoque 



XK^i^+Tr/^aLCp + aTrL-f-M) {(^(^d'L'^2.<^Ld<^ 



-}-(|)//M-|-M</Cp4-^N} 

 quae formula euoluta praebet : 



J7=47r/ 5^2 LCpVL+^LLCpVCl)-}- aLM (|)^Cl) f 2 7rLM^(l)7 

 4-2L(pVM + 2LCp^N -fiTrL^Nl 

 j +2 7rLCl)VL+47rLLCl)//:})4-MM</Cp 



j +MCpVL +27rL^CpM+ UdN 



\ +2LMCp^Cl) 



l +MCp^M 



quae fiue integrari potefl , fiue fecus , femper valorem 

 idoneum pro applicata y praebet. Veluti fi ponatur 

 Mrio,etNz=.o, at L ftatuatur contlans , -vt fit 

 :v — LCp' , erit 



jj=r4 7T/(4LLCl)V(|)-|-4 7rLLCp^Cl)), feu 

 j>'^— ^*7rLLCl)'H-8 7r7rLLCl)'-f- Conft. 

 Cum ergo fit ^-Vl , eritjjr '/7r:t:VLA:+87r7rL;»;+ Confl. 

 Sit S^tttL — «; fict jj—^xV zax ^ax-i-a^i pro 

 curua algebraica ordinis quarti. 



Problc- 



h 



