C ALODIUM. Uy. 
Ex his ergo obtinebitur: 
* asl (Ftex) (bb-ac)xse 
y (4 LabLcx)- ———————— 
a (bb ab en) 3 
V(etabetexx) a (ad-20x exa)" .2(ed- 2bx rex )* 
(bb - ac S5b-acd-Bbcx-4Aecsx)w *— cum v 
———— TM — XO. MU ps 
S(ad-2bx-cux)* 
Quodfi erso ubique. per. V (ad- abs 4- c ),  multiplicetue 
feries fiet rationalis, — eritque 
bb - 
V'a(a-25x-exx) — aT bx denn -(bd-ex)s - EE zd 
(A6-ac)b-ex)x* — (bb—acY( sb — acA-Sbcx d- 4ecux)x * A. 
2 (a zbeenx)*. E Ou z25x-l-exx) 5 e 
five 
bx (bb — ac )sux (bb-ac)(bd-cx)s 3 
(a t2 ams — — u———— M —— cL. &c.. 
Vo anh V4. 2(atibetesx) va. a(ad-2bxd-exx)? /a &« 
79. Tranfeamus ergo ad fun&iones tranfcendentes , quas loco 
y fubflituamus. Sit itaque primum y —— ix, ac pofito x4- o lo- 
co x fiet s—/(x--0). Sint autem hi. logarithmi quicun- 
que, qui ad hiperbolicos rationem teneant z : i , eritque 
pro logarithmis hyperbolicis »-—ti & pro tabularibus erit 
4/—705 4342944819032 . Hinc differentialia ipfius y—/x erunt : 
i na odd 7 e 2m &c. e ibus. co 
uu TTA 0M GBJ IUE . €X quiDU: n. 
dx /— Xx? xà w* 7 dx? 7 gs? 1 
09 ^)? 0» $ ECL 
ficitur : K(s4-o my Rd me emn. 
x 2x? 3x 3 4x4 
Simili modo fi o flatuatur negativum , erit: 
n 94 
Ia — o) Ix — HO rice P ree 9 eret &c. 
| x 2x? 3x 3 4x ^ 
Quodfi ergo haec feries a priori fubtrahatur , fiet 
x-o oO, e? Q3 Q7 
qa te decur -Mmd- c-r erbbc. 
ES. iua T $e t l &c 
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