THEOREMATIS BERmFLtlAm. 193 



conueniens fit zrjir, natura eius ita erit comparata , vt 

 pofitG «yrrio, fit 



d z ddz ^ . d^ a ^ y _ d^ ^ 



^ — O5 dv — "-rS'-, dv^ — O? (iv^ — -~S 1 dv* — o, 



fe=-t-^''i etc. 

 fin autem ponatur i;zrC|) , erit 



/ d ■z _ _ d ciz /7 . 4L5 rt • ' ^* ^ _i ^// 

 j OD — ^9 d 11» — ~J » d^J* — °? dv* — *+"/ » 



d* 2 



4^ — o etc. 

 quantitates autem f ct g erunt, vel infinitae, vcl infinite 

 paruae , prout fuerir, vel <P>f , vel 4)<<f, earumque 

 deriuatae /■', g^, f'\ ^' etc. continuo , vel decrefcent , 

 vel crefcent , ita vt infinitefimac fiant finitae. 



XXXIIII. 



Si iam ratiocinium pari modo, quo fiipra §. XXI. 

 inftituamus , intelligemus, naturam curuae tali aequatio- 

 ne inter 2; et c? exprimi, vt fit : 



r— A fin. a i;-fB fin.(3 i;+Cfin. y -u+D fin.i^ i;-{-E fin.e v etc. 

 ex qua differentiando fiet : 



j| — Aacor.ai; + Bpcof. pi' + Cycor.y '17 + D^cof. ^■'y 



Hh Eecof er-+- etc. 



-^ — -k cjYin.ar-BpYin.pt^-Cy Yin.y^'-D(JYin.^'Z; -etc, 

 ^ ~-Aa'cof a.i;-B(3'co( pi'-CY'cory'y-D<J'cof ^4> -etc. 

 J*^r+AaYin.ai;-fB(3Y)n.(3i+-CY*fin.y'z;+D<JYin.(5''i;-i-etc. 

 5^Jc+AaW.ai;-f Bp'cof (By+Cy Wyu-f D(^'cof ^r-} etc. 



etc 



« 



Tom.X.Nou.Comm. Bb XXXV. 



