Opuscula. 177 
texTninis , ubi adeft ; propterea quod hi non deftruen» 
tur, & ceteri prx his infinitefimi fiunt-. Prima radix erit 
= — /idx ; fecunda — a-^- ^dx, Quare 
a" — adx — 4 , 
^ - — a, — ^aax 3 
Quod faclum in numeratore fiat in denominatore 5 
& orietur formula 
gi^a — ^^a'^ H- ^a^ dx H- 3^?* dx^ adx^ . Extraho radicem 
omittendo terminos , in quibus habetur dx^^ & fuperiores 
poteftates : radix extra^Va eft = ^H- ergo 
u = a ' — ^dx — — l^^i ergo valor fradionis 
— a ■ 
adx 
y = ~— . r= ■ a i prorfus nt invenit Bernoullius© 
idx 
4 
9 
Ad tertium excmplum propono fradionem 
-4- . \/a — . x'' 
— — — 5 in qua fi x ~ a cum 
la^^x — , a X 
numerator , tum denominator evanefcit. Pono in siume- 
rarore pro x^ a-hdx^ & proveniet 
jr, — 2^^ 3 adx -f- dx^ ,\ja — ■%/ a dx , laa -\- ladx H- dx^ » 
\/ a -\- dx modo newtoniano invenio ; & quoniam perfpexi 
terminos, in quibus adeil dx fe fe deliruere , ita invenio^ 
ut non contemnam dx^ » Invenio autem efTe = »4- ' — p 
dx- . , 
— - — — , Hac itaque fubfiituta nancifcor 
%ayja 
K ia\/a ^ iadx\/ a -H dx^^ a 
— 2« — adxJ a -4- = I dx\/a » 
4 
— iadx\/ a 
- — dx^\/a 
— - y/^ * 
Tom,n.r,IIL Z Utor 
