INTEGRALIBVS DVPLICATtS. 79 



f ^ f 



^^ * y\aa—xx) ^ ' y{aa—xx^ 



{aa--\xx) X X dx 

 •^ ' {aa — X x) V{aa —ff—xx) 



ad quam poftremam partem integrandam , notetur 

 efle 



. . ff - ' afdx 



y{aa--ff) [aa-xx) -' {aa-xx ]y{aa-ff-xx) 



huius ergo dabitur multiplum quoddam , quod ilii 

 formae adieftum praebeat talem formam 



{aa—\xx)xxdx fx 



f- --7, 77 r-f-»zAfin - 



ia a-xx) y{a a -ff- xx) ' Y^aa -ff){aa—xx) 



^ {aaxx--\x"-^maf)dx 

 •' {aa—x X) y{a a -ff- x x) 



vt aaxx—lx^^^maf fiat per aa-xx diuifibile , id 

 quod fit fumendo m — — |j^ hincque erit 



(aa — \xx)xxdx ^2.0^ fx 



/ * — !- • A fin — 



ifla- xx)y[aa-ff^xx)— 3/ 'y{aa-ff){aa-xx) 



^ {laa — xx^dx 

 "■ '^ y{aa-ff-xx) ' 



12. Cum igitur fit , 



(&aa—-xx)dx X 



{aa—lxx)xxdx 



«rit . . , . f-, 777—^ — T^ 



^ iaa-xx^y^aa-Jf-xx) 



