Opuscula. 
ll — la^dx — ladx"" — dx^ -^- Kdx'^ * Si hxc mea methodo 
tradanda {it , extrahatur radix tertia duobus tantum termi» 
nis confideratis ; hos enim fufficere depreiiendi : & eiit 
i s I, dx^ 
— 3^^^^^^ — \- Adx , lam vero fit primo »2 ==: f 
t f , ^ , — dx^ ^ 
II A = 3 ^ } valor qua;fitus erit - ^ -7- : ii vero 
A non fit — 3 ^ valor qusefitus fiet = A — , //x 
Sit deinde m^fy omittuntur duo ultimi terminij & valor 
invenietur ~ — a^ dx^ •> Sit demum < f 5 omittuntur 
duo primi termini , & valor — Adx'" . 
Quod fi Bernoulliana methodo tentare rem velis , fiat 
— ^^''dx — ^adx'' — dx^ H- Adx"' z i five 
\/ — ^a^ dx — ^adx^ — dx^ — — Adx*"' . Elirainentur radi- 
calia — la^ dx — ^adx^ — dx^ ^Zi^ — i^^z,^ dx"' -Ar ^ A^ z^dx^'" — 
A' dx^*", In hac formula , vel fit > |, vei >Z2 < f , omitti po-. 
terunt termini ^adx^ ^ dx^ ^ qui refpedu la" dx infinitefimj 
funt : ergo fiet 
— la dx ^-z^ — lA^L dx"' -4- 3 A zJx^'" — - A^ dx^'" » 
Si mihi conftaret ad quem ordinem infinitefimorum perti- 
neat z , conftaret itidem utrum z.^, & — ^Az.V^'" fint infi- 
nitefimi refpedu iPkz,dx^"\ an refpedu z.^ fint infinitefimi 
— lA-z^ dx' + i^zdx^"* , Sed quoniam hoc nondum efl 
cognitum , incertum eft quinam termini fine parailogifmo 
omitti poffint . 
Ad determinandum autem ad quem ordinem infinitefi- 
morum pertineat z., nuilam aliam viam iniri poile exifti- 
mo , quam animadvertere , cui poreftati dx debeat elfe 
proportionalis radix s,, Quamobrem non curatis coefficien- 
tibus fatis |rit in formula inventa radices extrahere : quod 
fi fiat 
3 * 
