32 



sit Y — X = I (r-Y —ï {l^-)\ oh X— y -{-).. Ex hac 

 forma, sutnto / = 2^ statim fluit relatio ante inventa; 



— • m--^ r-4+ etc. 



1.2 4. I* ' 9 , 23 16 . 2+ ' 



Simili autem modo nunc multo generalius habebimus: 



~T7 ~~ r^3^ + T-T^ — ^^^ +et(i 



tibi loéo ^ quicquid lubuerit accipere licet. 



Prohlema III. 

 5i inter x et y haec detur relatio: xy-\-x-}-y=.c, hinas 

 formulas p :zz f~ ly et q z=z f^j Ix in séries resolvere, 

 ita ut hinc prodeat p~\-q zizlx , ly -^ C. 



_ M >. S o 1 u t i o. 



\. - ' 



5. l3. Hinc igitur primo erit j=:^tp|> ciijus loga- 

 rithmiis per duas séries sequentes exprimitur : 



, x_ x^ x3 œ4 



* c 2C^ 3C'3 4c4 * 



X -\ ■ r — etc. 



unde fit 



Simili modo, cum sit a;iz:f— , erit 



