•4^.^ ) 57 ( ^??-» 



tnm leitiir crit V{i—z*) — c. Nunc qn;ierantnr bim ar- 

 cus CX ct CY, qiJorum rumma fit aequalis arcui CA-c. 

 Pofitis crgo eorum ablciffis Cac zr jc et Cjf—j ex §.31. 

 erit 



j -X x-yy-x xyy =r o , 



rnde fit yy — '-^^\ Quod fi igitur y hoc modo pcr x 

 deLcrminetur, tum erit O : x -^- Q :y — e-^ tum \ero ob 

 T[:z — a eiic azzH: x -\-ll :y -{- xy- \ 



§. 35. Quo nnnc fcries pro Q : x et 0;>', itcm 

 pro TI: jc et Y\y^ maxime conucrgentcs reddantur, ablcis- 

 fds A- et ^' proxime inter fe aequ-iles accipidmus. Si e- 

 nim vellemus rtatuere y ziz x, prodiret 



X -y — y[- I H-Va), 



qni valor irrationalis minime idoncus f()ret ad noflris fe- 

 ries cuoUiendas. Hanc ob rem fumamus Jf jr — ^ , eric 

 jj — ^, ideoque x — ^^ tty — ^,, vnde per priores ferics 



fict 



:. ; :. ! -7 (i <f 



: .V — ^ (i -f -^ . ^ + -^ . i. + -^"-^ . ^ + efc.) 

 n : X = 4- (-; -f JL . 1, 4- -:ii_ . -;, + -lUi^ . u 4- etc. j 



j y : \J ' ;. 7 3 3.4.11 * 2. 4.». is - / 



Simili vcro modo erunt: 



: y - ,', (I + ;^ . 3= + ^^ . -;, 4- ^'- . -;* + etc.) 

 ri:jr^(; + -i-.;,+ -i^.;. + _j^_ ^ + etc.) 



§• 39. Hae feries manifefto tantopere cnnuer?unt, 

 \t, qui l.iborcm calculi (ufciperc voluerit, veros litttrarum 

 AiiaAiad.Imp.Sc.Tom.yLP.II. H « et 



