32 



sit Y — X — ! {l^'-Y — l (l ^- )^ ob X — y 4-1. Ex hdc 

 forma, sumto y-^Li, statim finit relatio antc inventa: 



;H ï — i4- tnc. 



— I (/3)2 _|_ _L_ _|_ _^ 4_ • _j_ l_ -L- etc. 



u V ::-' ' 1.3 ' 4 • i ' 9-3* 16.3+ ' 



Simili autem modo nunc miilto generalius habebimus: 



^ !.^ -^ L_ _ ■ 4_ etc 



I . jy 4 • >~ 9 • >■* 16 . j+ ' 



ubi loco / quicquid lubuerit accipeie licet. 



P r ohl e m a III. 

 SI inter x et y haec detur relatio: xj -j- x -f- / =: c, binas 

 formulas p zzl f ^ ly et q :=./ ^ Ir in séries resolvere, 

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



S o 1 u t i o. 

 J. l3. Ilinc igitur primo oit j-:zz^~*, cujiis loga- 

 rithmiis per duas sciies scqucntes cxpiimitur : 



le -, , . — etc. 



7 J e 2C- ici 4c4 



*y 1 , X- xi , x4 «y 



L— X -f- T — 3 + 7 — 7 — etc. 



undc fit 



r» I 7 X X' xi xi . 



^ \ le . IX -, r. ^ etc. 



P-J-.l-y-<> __ x_^__x3 x4 _ ^^^ 



U '4 p ' 10 



Simili modo, cum sit x zn -7^ , erit 



1 (-7 



