(50) 



At vero ex problemare qiiarto prodeunt fequentes aequalitates: 

 I. / —-/Mdp, 



J \ -\- X X l X 



II. / ^=fdpfMdp, 



J 1 -\- x'"- X (l x/ 



IV. 



/ 



X {Ix/ 



y.n-^P ^ X^^ — P 2X'' (J -^l>pp (l x") dx 



'■!- 



VI 



•/ 



i-f-.v-" x{lxj* 



= fdpfdpfdpfMdp, 



-'»-+-<' — .v"-? — 2 x" (p l y -\- l p^ ^/ vV a X 



I H-jf"* * .vV'.v7 



=ifdpf^pfdpfi)pfM 7)p 

 ^n^P -4- .v"-^ -X^ U -^\ /" (l X ^ H- ,'4 p' (1 x/) 



I -h .v' " ^ " 



=fdpfdpfdpfdpfdpfM dp. 

 etc. 



CONSIDERATIO AEQVATIONIS 



I 



:'»-'-? jt" - *" 3 .\ 



TT 



— — tang. 



■K p 



a'" X 2n 



Ponamus hic diftindionis gratia N— — .Itnng. ^, 

 atquc ex problemate fecundo nafcuntur fequentes aequa.iuues : 



I. / / .V =: H i 



J I — x''' X p 



11. / ^. — (/ ^) — ^ r 



III. 



