= (177) 



Prictcrca euidcns cft hanc acqualitatem 



j/(H-+-Mr-+-.N O — -^Vi—p'-^ 2pf — (i — ^»)^«) 



pro rc(floribus hypcrbolicis quoquc fubfirtcrc poflc, crit au- 

 tcm tunc 



ideoquc 2^1=^ et ?- — — a' (e* — i), quaie hcic pracfcrl- 

 bitur non folum vt formuhi H -f- M >• -j- N r* fadorcs habcat 

 rationales, \crum ctiam \t N fit quantitas pofitiua, H autein 

 negatiua. 



§. 25, Cactcrum qiiemadmodum cx Thcorcmate Cel. 

 Lambert concluditur, formulas -, ""-^ , "^^ -, 



ad diflfcrentiam binarum aharum confimilis formae reduci pos* 

 fc ; ita hinc quo'-]ue denuo colligitur, quoties in genere ifta 

 cxprcil-o H -h M r -f- N r' faclores habeat reales , tum 

 — reduci pofle ad ditfcrentiam binarum huiusmodi 



r <)r 



V ( II -I- M r -+- K r» ) 



formuhirum : 



* i X y ^ y 



>(H-4-MJ:-r-Ni') >iH'-t-M_/ • Ny'! 



Nam fi fupponamus coefficicntem M femper figno afFlci pofi- 

 tiuo, quia pro figr.o ncgatiuo loco r fubllitucrc fufficict — r, 

 nunc vidcbimus quomodo rcdu^fiioncs pro formulis 



r ,i r 



ct — 



L --(-M r — r-) ' 



r:)r 



> ; L t- M r -r- s '■") ' > L --(- M r — r-) ' 



€X prioribus deriucntur. Primum iiiitur in formula ^^ — 77, 



fi loco r fubftiruatur — r, tumque denominatur pcr >/ — i 

 rrultiplicctur , ifla formula omnino in hanc transformatur 

 1^1 ^ , vnde ob 



Vlt T- H r-t- M r»i' 



Koua Ada Acad. Imp. Si\ T. I. Z rdr 



