TOKMVLAR. INTEGRALlVM. 55 



^bi eft^A-=:v^4r^j et y' [g ^ (fk-gh) x x) 

 = 7^i^.JtA) ficque conrtruitur cafus X[. 



Integratio Cafus XT. 



J«2 ^ —h-i-kzz — >--+-«. K _i_j2j. — ^'fk.goj ^^ ^ 



v^ vgc— *-t-ife32}J L /fe -■ 



K^ -^ g [ —b — kzz) lljk — gtS- 



6%. Hoc crgo integrjle confbt parte algebraica 

 €t arcu elliptico , et quia debet efle k^gb^ fieri ne- 

 quit =0, fm autem fit h — o^ ellipfis abit in circu- 

 lum , atque habebirur : 



vti per integrationem facile inuenitur. 



Exemplum 2. 



6g. Reducatur formula J dx V ^ '_pj - ^ zrr^~ ' ^^ 

 cafum VI, eritque ^>o, ^>o, gb-jk^o ct ^>o, 

 cum autem hoc cafu debeat tKc gb -fk^^gb , quanci- 

 tatem /negatiue capi oportct, "vt fit, pofito xzz^ :ib-+-*£T] j 



f j^vt/rts^ -./ -/-f-fgs , gfc-+-/fe rj„yj_zr_i£.£ 



Jifzyb-t-kzz — ^'^t^fcsa-r- <j jax y g^^k^gh^jcx' 



At ex §. 4.1 habetur : 



I — ^A\v //& fk-hgb 



Tom. X. Nou. Comm. E Tode 



