== (138) == 



§. 39- Ex valore aiitem pro npplicata y inncnto in- 

 ■veftigemiis arcam ciiruae indefinitam Drt^Cjcj, cuius elemen- 

 tum ell: 



j a .V =: — ^ Gv 4- 3) ±: ^ >^ (^ J^ + <J .V ^- 9 + 1-), 



\bi partis prioris integrale manifcfto efl: —\xx~\x\ partis 

 vero pofterioris integratio merito Jiiaxime ardua videretur, nifi 

 commode eueniret vt formula port fignum radicale fiidorem 

 habcat quadnitum. Efi; enim 



xx-^-6x^9-^'- — --^^ + ^^^-+-9^+4 — «^ (^^ ^ ^y^ 



vnde pars areae pofterior ita exprimetur vt fit 

 -^i(A-H- I) Ti X )/ =i^. 



§. 40. Ad banc formulam integrandam ponamus 

 x-znv^D^ ac intcgralis pars pofterior erit 



' -t-/3 -1; (1; 1; -|- I ) ■/ (-y <!; -4- ^). 



Sit nunc ■/ (1; 1; H-4) ~ -y -+- 2 r, eritque v =r ^—~'> ideoque 

 / {ro rj -4- 4) =z '-±11 et <:; 1; H- I zz: ^ -f ^ -^ '* 



1 1 



ac denique 5 c.' — — iL'i-±ll'j quibus fubflitutis formula pro- 

 pofita induit hanc formam: 



cuius crgo integralc efl 



1 _, I I s f 1,4 — r-f-if t_2/6_(s (r — nui-t-'ni 



;r^ ~+~ aT7 ~ ' ^ ^ ~~ 4 ^ iTi ^Tf ' 



3 



1/ (1' 'V — 1 4-^* 



ct reflitutis valoribus — , atque adeo per x crit 



3 



t, CV -h 4)^ l/ X , . r •. 



haec pars: i^ il — 1 — , hincquc area quaefita crit: 



