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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 201r, page id 00068199:0401
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=401
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d
C
aX = XK X  2XXaV +aavV  - EXXaa +2a
sit X X = (aa vv + 2aV, :, 2aa + 2 av)
e
it dx  a +X) = XCF dx, XX -a0- aa ubi solum dx est
cationale si per v explicetur
v V + hvV + fP = vva2
 vD + h∞ + f = vZZ
L= 2 2 - 3
_ V. v + vB a Vav + AbV = Sa, Yv +
V(0V + b) = 10A + 1V F 12 bV L 13V + 14 V etc
p+ ab = 16 1NVV + 2. 11. 12V + 2. 11. 13V + 2. 11. 14V + 2. 11. 15V etc
+ 12. 12V + 2. 12. 13V + 3. 12, 14V et
= ab 1=0 210 12=1 caetera destrnenda, sit 11, 13, 15, etc =0
a
ss
16L
vat
IICnF 2  P. 8- l. C- 2
az + abb. (e) 6b + aZ = bb tebo aZ +e, bb
1. 2
yy
aH
Ergo (2) bb taZ = b + = b, aZ aZ, E b, aa ZG, b, 2
bb  12
(bb + aZ) = b + L = aZ - 1. 1
l.1. 3 1
6
1.2.3.
2 2aL-2
1. 2. 3
-3 3
Aqe
232 6
1 1
1. 2;4
a
 aa72+
+ l. 1. 3 L Y
1.2.3;Gb
+bb) = b sx = 1 = v lb - 1. 1  V sad erc.
2122 ba7
L 1.2.3.4 b
1.2;4 6
ex
manente
6.  + (=Ca) logxb. Ergo hoc quadrari potest a=co
et fint dy.  scx dy ide = Sdx (e. a) logb 
2e: a iel  cia
umenetuvatum 0 10ga = logco
ut la casu quo eia -2
y = (dx X. differentiando secundum e, prodibit dy: de = (dx, X:  10gX
e
miraric quadralura dispenctiva b+
eno quolibet
puncto alsarius auquae disserentialis sin tangens omniaquae
∞+X
ee
6 y - (dx sitC: D) ubi variat cva variantibusse y variantibus C, isso X
272
p
373 1. 1. 3.5 1 454
1. 1. 3.5-
1. 2.34; 16
i
b
5, 43
232 b C 1254b  1238 b3 1234; 16 65lL
e 6b+ vv = b + = + VV--
la.
4
vv + (h- 22) V += qu (h+Z2) = 44(l1Z))-f
4
1_ 4 1 sB +2. 1 12V0, 2. 10. 13b3 f2, 10. 14V a F2. 10. 15 V3. + 2. 10 16 V
 fit 12 14 = - 12, 12: 62. 10
23.
de logb = do:co
Ae  logba
deo = dbC
percuriendo donec e evans seat in 0, devenitur tandem ad fdxllogX: b+ db- ligb
s
a quo pendet serins 2 + 2 + etc. sed haic inventioni id obstat quod
Xha (B. b+X = V e logX:a = logb +X = log v et eAx: XI = dx(:, b+X) -dv: V
est, ide
quantum momini
d
e
seu Vdx = du: : AA) - (1; bFX)
et vdx = dV  e. Xe. a. a
plitercoca
tami
dis = _ t ∞ C. XC-a5: a dx (:, b+X) - X dx (: qubp
= 8. a (3, b1X): em Cb + ex - ax
aec summatio utique coincidere debet
eod fiert X: b+X = va  et
Odx = dx XCha,  eb X t, X X = 1 9: (e - a) X + vb 31d,
riori
siisset xla; brx
 
ar
Ergo