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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 250v, page id 00068196:0496
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Er
(x pdxy pendent a se invicem prohax nam pro 6+ X
ponendo Z, ex una formula fit altera. Sed et aliter a se invicem pedent, ex degula
mea de indifferenti combinatione in summis summarum. sit erim x sa ec,
fiet ax f= W, et ponendo dx constantemfit dxdx - dar prodit idem solidum, sive
prodi pendent uti pendent a se invicem syax, et Exdy, ita pendent etiam a semvicem
in de) et et S(sax in de
X, b+X
b+p,
dx  Sax (bdx pdx) + ((Xdx (dx) = sax ergo res etiam
A bex
Sbex F
bex. X
redacitur ad (xd sax)
S bix
ax ex vertie coaxe;
datur momentum ipsius  ex axe bix
par acsaxe
datur momentum ipsius Xd bex T-  ex dux
(dx dbex) Quod si daretur et gu dx Hinc haretur et (xxdy, nam
fietqusexgy erqu datur
brx dx pdx + dx ergo sxxdus = C
Est autem dy =
XXbIX Xib+X
drs
sed qudy destentet ab xydu, quod est jam yyax est X qu Sx
Xy dus est -dx B. qus
F, qu. 16x
+dx pax. sed hoc posterius pendet a lesumm.x
X, b+X b+x
b(dx fax +  sdx. X =
bix
Pex sex) = sux sax) tstes dx pdx
btx, dbIx
fd a 1 Sdx sax)=
3at x
((dx (dx)
Ab+X. X
lix sC
ItX = dx, 20 - X + X - X ete et pdx X X + X
bix
ax (d
bb B 14
bix 1.b 2bb 36 4bt
Pex s
X d bx 11b 4b6 9b 169
log (Blog. XX = sXe dx + elog. X. X  dx. Ergo s log. X. X dx = log X. X  1X. 
X  bIx
E) = legXdx, i - F + f - f etc et sx s
Abex 7
seu ax (dx) = logX, X - x + X - x etc
btx
btx
1b 2bb 36
X + P = X
lb abb 9b
ek.
stoguiau
soigisls X. t puseip.t
bogXn X estog. X. X ex amstogi X 
xx pa = logr. dx, = - X  Xe - x aspelyes) d sm nex ps lodetur i stod ti
b+x d7
Cdx (dx
btX X
(dx
= log. X, 2b
st
bb B TF (b+
+ X erc
36 4b3
Eed
XX X + X
12b 126b 36b 80b
x = logX, flogx = X + X - X ex
1bb 263 36
+ X
X
4b
+ X en
9bb 166
1b 26b 363
prodeunt 2.2.3. 433.4
+ logX - X + X - X et
1. bb 4b3 961
log (biX). logx = X +b, logx = Et  = X +b
a log bHX.  qu. log. X = s qu s + 25 d  sx itaque et hoc habelur  .X
gE (dx logX. logb +X). L )  sit legex X logX. logb+X = (dx logX. log b + X) +
+ (x (dx logbtX) + (CXax SdX). itaque hoc reducitur etiam ad priora prius.
tx
log) X X yfit log bex logx =  log. y et  bsax + X + (logp. dx = dy: y
X) = log (brX) fil y = lia bex
lar
(ax logb+x
yx SbixilogX SX (gH.
y3X = x+b fit nsu y logy-
X= dx = y fit dy H: dx = x + =  et (X+b) log. X = logs lagx logdy logax
(X ax = y Xex -dy 6
X X = SX dx + sX  ax + sXlogX. dx
Monet) N-  logp tm tonsB ax X SX logK ax = X
hoor
og X+b
x 
XCgyX = logV
Xdx + axtogX - do penta
s