(49) = 



ns - x-+-2yt-h2^t- -i-2y t^-i-2^ t^^-h 2 et''-^- z^t^-h zy]t'-^i i t*-hctc. 

 s t ~ j;-+-a..-+-(3..-f-y. .-t-J..-i-e..-+- ^••-*- v, .. 

 istt- -+- 4 . . H- ia . . -+- i,3 . .-(- •' y . .-(- i 5 . . -h ' £ . . -H i <^ . . 



i.t/' =: -t-i. ,.._H-2a..-4-ip..-f- Jy ..-»-s(^.. -h s e . . 



j^S l* ~ "+"48 * • -'■24'^ • • -•"E4P • . -♦"2(y. • -*-24 O . . 



jjO-f^ /""— ~+~ '2^0 • • -♦"lio^C . ."♦-lio|J» • -♦"ISjy . • 



fil^Sl^ ~*"Ifli3 • • "*"f : j^ • • -f-^s^ p . . 



ctc. ctc. 



Hae igitur fcrlcs in vnam fiiminam collcdac ob relationcs 

 liipra §• 3. aflignatas pracbcbunt hanc acqiiationcm: 



§. 6. Cum igitur , dcnotantc e numcrum cuius los^a- 

 ritlmius hypcrbolicus — i, fit f'11:: i -f-r -h 5//-+-'/^ -;-:;':;/■* -4- ctc. 

 cuidcns oft acquationcm inucntam rcdnci ad hanc formam fi- 

 nitam: j (i -f- f') — i , vndc totum ncgotium huc rcdit, vt 

 v.ilo^ littcrac s per fcricm cxprimatur, cuius finguli tcrmini fc- 

 cundum potcrtatcs littcrac t progrcdiantur ; tum enim fcmper 

 cocfTicicntcs illius fcrici cum fupra aflumtis a, (3, y, 5 con- 

 griiant ncccflc cfl. Quamobrcm in hoc nobis erit incumben- 

 dum, qucmadmodum illam acquationcm s{i--he')~i ap- 

 tiiiimc in fcricm infinitam conucrtamus. 



§. 7. Ante omnia igitur hanc ncquationcm a qnnnti- 

 tate exponcntiali e^ libcrcmus, et cum fit ^ zz J — i, cric 

 t=zIlZLl^ hincquc diffcrcntiando dt:zzf:zll^. Ponamus hic 

 s — l-i-v, ct il^a acquatio fict 



2 , — d V -h d V 



(i -+- v) (i — -T) ~ V i,Z^ • 

 Noiia A&a Acad. Imp. Sc. T. //. G Nunc 



