iodeterminatos x,y. ( 3.) Hujus equation is (per regnlam 
Bernouii snara) inveniatur Diffcrei uialis, & hujus »nte- 
gralis (per me'ih clbV nbtiftimas) per Seriem Infinitam 
exprefla dabir Logarithm} qusiiti a: valorem cogni- 
. turn. 
ExempTom 1. Affumatur a=y, unde per Canonem 
generalem x=l.~^y t cujus differentialis eft * = 
hujus integralis per Seriem infinitam exprefla dat 
x=j— f/+ ?>’— V 4 + t/—t/+ty 7 See. 
Exemplum 2. Affumatur y =— — > unde a+ 1 
_ 1+7 
I •— »y 
ideoqj.per Canonem generalem *—/. ^ cujus Diffe- 
2 v 
rentialis eft *= — — 3 Sc hujus Integralis in Seriem re- 
! "~yy 
foluta dat 
x—2 \‘y lJ r iy* + v> 7 + 1 See. 
Ubi numerus 2 Seriei prafixus multiplicari fuppoqimr 
in fingulos Seriei terminos.. Nec plura addere exempia 
opus hie erit, cum ex his patcat Methodus inveniendi. 
innumeras Series Logarithmicas, qua?, abfq$ ullo ad ali- 
orum numprprum Logarithmos refpe&H, exhibent nu» 
sneri propofiti Logarithmum. Q. E, I. 
Lemma 1. Sit & Logarithmus cujufvis frattionis 
^ * 'j 
, x Logarithmus denominator^ <1+15 erit lb-~%=x / 
ji~\- i 
a-\- s 
'Yd fi. fe a Logarithmus fra&ionis —• ’erit lb+z—x. 
Lemma 
