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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 180r, page id 00068198:0359
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et dy = dX = V x, vds + avls
R =y, v logX = logy. vdx: x + dvloge = dy: y
sit d =  dx:, b +X fit v Elog b+X et h = b+X
V q = y ( v logX + (cologZ = logy. et differentianto
X
fiet vdx + du logx + codZ ob
v.
=y fit Vlog X = loqy
et fiil dyry = Bxr Cpax + dr lgv) ex logL + v x F
.
D
et huy seu d, X. =  X B( v (av + dr logB) + v
e
v
et d X.. = R.. (V (logX (Yde + drlogo) + ax
sit ergo
datu ergo summari potest quantitas
logX (rdy + dr logr)  + de seu
quantitas V, Z (rdco + codr) + dZ vel quia
rdco +codr = dcor sit cor =  fiet utrue
V, Zd + dZ quantitas summabilis, erit
Z
= x(dn Z = logX, et X. =  y et Logy=
v
1
et logy =
Sy  V, Zd8 + dZ
y fit v. logx = loq y.
et vi  + dx L Vi dx + lgx d (v.) = dy:y
V: = (7) r logv = logu q Y  + logv. d(V) = duy). y)
X
t
p.
seu d rt = r. (t d + delogr) et fiet
dv: = v. pt, do + tar + dtlogr Ergo
dF + loge
lggv (t dr + dtlog. 1))
de edtul)
V
R+ d  +  dco -0
V. dz + B  (d eb + I de0) mux, nadr - -
=
posito dx: X = Z et do: v = 1V et tsdr. Y = C0
3
=
ponamus et dari ex  sd  adeoque et deo, sed
possumus concipere forinulam
datam esse aequationem, quae multiplicata per
y et IY dari ex . B
D est summabilis et datae logu + (3=0
du + G F dV + Z Y. 1Vdeo con seu
sit ttM. r
 t itep Aq ip dco
 Ky de +, gdco = XX dX+ yydx
24c c9. per Z et dz: Z vocetur Y
+6 log ab: egt fint dea dN + p dip +  pt pde
dividatur
du + 5d V + is XVdco qd quod eat summabile
1 _
AY =L Ad + 4 1X ∞0
sit egydx    x fi ate - yy _ =
queaquatu ita poterit summari