i4-+ DISSERTATIO DE TROBLEMATIBP^S 



paribiis pariter va^eat, cfficit, difFsretuiale -, ri c a&^ 



folatj int:gr:ibiie iemper efle , fi modo n lit nu;rierui 



jjitsger impar. 



§.. 10. Sit vcro iam « mimcnii q'i;h'ber intc* 



g.3r, fcJ p;ir, velatiS, ;uq.ie erit (§ 8.) Qj^t^ //^(iirpTj , 



vnde quaeruiim integrale dabitur hoc ^r[Aa''-i- jSw* 



-f-C«^-t-D«] V(tt:-p') -hDpMi"-.-.. Ex quo< 



cuidens e(t, fi n fuerit numerus inttjjcr p:ir : tiim dif- 



- . , rti^du , . 



ferentiale y — —7: depcndere a quadratura V£l itucgni- 



Tib.lll. tione ekmeiui huius y"?:.^. Hoc aurem fequenri ra- 

 'S' '• tione conrtruitur. Sit uimui alteruter Hypv r' oluc aequi- 

 laterae AMw, cuius axis transHcriiis. AB-s/», centnim; 

 =:^C, abfciflTi CP=:tt, erit ex nauira huius airuje PM*; 

 r APxBPrz^-pTttTp^tt*-^'; hinc duda CM, et 

 infi.iite vicimi Cw, area trianguli rectanguli CMP 



^ £?ilf- = -li>e!2 , cnius-difFcrentiale efl r ^^^;^ 



►f-ifl^tt/Ctt^-p^jrCMw-J-MPpwrCMjw + PM^cP^ 



'tt'^tt 

 =z C M m -\- du ^ (tt* -p^) , vnde efficitur CMw- y".— — 



►i-^/ttV(«'-p*)-^tty(tt'-/>0=y^rp~)' ^* ^"^^ 



erit ''r,--j, rr^ fe(ftoris Hyperbolici CMw. Qiiod 

 idem alio etiam modo demonftrarur. Sit »/MT tan- 

 genspunAi M; atqie^rit arei trianguli C;«T — iCTx/»^//- 

 ■r&i triangiih CMT^iCrxPM^ ergo , fubtrahenda 



lunc 



