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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 78v, page id 00068199:0156
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aust eign auden fit bogus
et
cumanda est haec sormula
equatio mydx tandu tapdx = 0 id efficio
mulciplicande ubi m, n, p, dantur per X . Hoc variis
modes assecutus sum, sed sequens ob consequentias
inpriutis placet: Multiplico totam aequationem per
q arbitrariam ettam pendentem ex X, fie
mqyax tandus + apadx = 0. ubi pars apax
summatur per quadraturas,  Itaque ut altera pass
ex duobus reliquis terminis constans etiam summetur
compavetur summabili ydr + rdus, fiet aar=
anq et unde andque + agdne = nodx
et fit dg: q = mdx = adn,: an, seu
fiet logu Simm log q. + logn = s(m dx: an)
potuisset n’haberi pro unitate cujus log. 20. s
prus aequationem datam peran divitissemus
Nunc u Et fiet Caeterum fiet Na quationis
tu ( summa eit angu  agrus
C summa laury +as posdx -o, seu, anqus + a spgux
posit lgq et soluta est aequatio posito
 log. 9. = ((m dx: ar) = log.n.
E
 ita etiam summata est formula bitermina
nqyax tanguus. Datur nempe
GCmydx + an dy) cuiadde (((M yaxtandu) dq
id estafpx -a s SpdX) per aeq. D. fiet
=q S(n ydx + an dy) adeoque siet
angyta sphdx - a s(dque spar)-((nyaxtandys)
posito  log. q = S(mdx: an) - logn
habetur absolute summatio, sed potur posita
Paequatime su i my. Non tamen absolute
sed 
tame
habetur haec summatio, sed posita aequatione
iater mudx ipsius mydx tandu, sed posita summation
ipsius ejus aequatione cum = apax
si poneretur m = af:q et n = a9: q, fieret
log q- s(f dx: a9) - a log. g 4 log. a, esed ita
 itaque non possumus
dato fydx + agdis summando multiplicare simul
evanesceret log. 4.
 Smlaxran). seu q.
Erm. Gecraliter ft habetur
seudx.
nyau addus) 
2
Em exiar
Ay L an
) L. Andxian)
4 a f. diar tentemus
I)= modx tando summande, Eiat v = fH: a
ay s
et fiet as. s: a)Hx +nfdy  himmanda
s
quam conteremus ipsi a ydr tardy, sier
n
Y = nt: a ctadr = (n ds + + dn = 
in
(nd + m(f: a) dx. sed ila evanescit 
pit aequatio data Aliter sit aequatio dato
cormalata data SVdx + agdv, fiat v=- hy: a
fiet erit (f: al hy lx +gh dus ∞ PSmdr: au)
3
 mydx tands
2 s ngdx  + b adque fint h = ab.: g
et dh = a g idx bS: - a b d9,: gg, et
landem siet (F: ai) a bs ex + (a: g) pax  a bs dg-
n
l 7
et diviss omnibus per bs. fret
3d
dx - adge = n dx, sed ita
(f. 9) F ax +:
evenescit  m: n, nec quicquam lacramur
dd
latt e
Hoc up foret nimium
e republica Analytica