aS DE QVANTIT. TRANSCENDENT. 



. _ A B * ■[-• na -^/ n ^ . - 



A fc/ — v(Aiiz-+-AirT^) ^'^ *^ ^ — v(i-+-'0 » ^^^ '^^ "'^ 

 AE: E^i:=i:«y«-AByAB: AaV Aa. Hocquc 



cafu erit: 



Arc.^^-Arc.B^i=:^(i— ») — AB-A^z 



Cafus II. 



T b I Vropofito arcu a k i« njertice a terminato , ^^ ^ i«/ 



Fig. 5. ^z/^^'''? termino k abfcindere arciim k g , /V^ 1;^ arcmm 



ak ^/ kg differentia fit rectiJicubiHs. 



Hoc ergo cafu piindum / in )t incidic, eritque 



j-zz k , hincque etiam FzzK ; vnde reperitnr : 



^ S a*--mk* a*-mk* 



Sumta ergo abfcilTa AG huius valoris erit : 



Aic.ak-Ar:c.kg-^':zz'^'-^-:^'^'^. 



Corollarium. i. 



Viciffim ergo arcus quicunque ag^ in vertice a 

 terminatus , ita in k in duas partes fecari poterit , yc 

 partium differentia ak-kg fiu redificabiiis. Ob co- 

 gritam enim abfciiTam AGrr ^ , abrcilla quaefita 

 AK — ^ ex hac aequarione definid debec : 



gg(a* - mty — ^a* kk[a a — kk)ia a — mkk) 

 quae abit in hmc odaui gradus : 



mmggk^ -^fna^k^- z ma^^ggk^-^a^kk-i-a^ggzzo 

 ^{m-^i)a^t. 



Coroll. 2, 



At fi huius aequationis fadores ponantur 

 {mgk^" Akk-^r- a^g)[mgt -Bkk-h a*g) :;i o 



rcpc- 



