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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 289r, page id 00068196:0573
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 nei.
1.
Z=
e
posio B numero constanti
et e quantitale variabili, exprimenda per X esq et a
sit jam dx: dy = adX = 2XXY,: 30a 2Xy7. et
1d
agitur ut habeatr nova aequatio in qua absit a
sir xin
log y = logZ = P logn. seu fay: y - sax: X = b)
sa
et dy: y = ex. d = de log n seu Ag = de byn Z. A.
 + dZ. H~ seu dy = de logn. Z. N + +Z. n  - 2
 349y - 2X99 dx: aa X = 2XXy, 2
(
= 3aaZ. 1 = 2X Z2n, dX: AAX = 2XX Z. B
Ex 5eg. () est fdy aaX f dy 2XXy = 3aay lx = 2 xyydx
sit aa = = 2Xyy dx = 2X yy 4)3:, 3ydx Ixdy
taum EtY 2X ZH. de legn Z. HI- 2X XZ M. dZ. H=
0
ubi ut qvanescat a debet esse numerator =o
ext ph aeq identice
3ZC
e
e
7pE d3
dx  XZ(N de logn + = X(M dx
ubi si essit  l = 3Z+ x. (x Zde bgn L X dZ
aas
Pieret de de logn L3dX. X = dg.q. Ergo
e cogn
13
109X = l0gZ. et Be 2
bluerutius vi si faciamus q = 1
fiet 
M
eaa
nondum video
l
B
L: Za
t =V
l
sinc modum sollendi a
l
c
cum relatio inter X et v sine Cg. D. Sed quid
et
idu = ca dv: v
et y = a logV. fiet Aa = + 2∞. 3(4  2∞ + , ∞ - 2V. 10g v dv
1090
ita evanescit ad, sed loque B) toncmstu
quid si sic. X =aV. L et
3lc0 P Mad
y= a2.c0
v: 7
duq et Y= av: Z + a n
solleretur quidem a ex aeq. D. sed daretur
sit X = a.  a v. 5
impedit
a
a
a
1a
s