# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0201
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0201?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 102r, page id 00068196:0201
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=201
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000201.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 101 lines, status machine
# Lines: 101 recognised, mean confidence 0.80
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

X. = X + 7
A
X
X- 1
2 _ = 2
X
=
=
2X1 = X
X -3
X
=
s X 2
(-2
S
2 X +
x 2X3 -1 - X - sX
SX = X8 X. XHI 1 X. XFY XX +X - 2
a S + b sX + c fX + e sx + fX + g = y
differentietur
a sx + bs x + cs x + e X + f = dy
_ si a = b = c = e = f = g
fiet y - dy = sX
.ASI.XAE. XAZ LAX X. XHI, X+2, A.XFI + X = XB N. X11. pt 2 + 3. X. XHI + 2. 3X
T. 2.3. 4.
1. 2. 3
1. 2
 XCI +xX = = LY
()
hiX +, L XX
X. XHL. X2 = 1.2X  1t2 XX, + X
1.2.3 1. 2.3
l. 23
1. 23
XXH. X12. X+ 3. = 1. 2. 3 X (1443 tx 3XV
1. 2. 3.4 = 1.23.4 1. 23.4
(X = BAER IBLIX + 12pX
X = 11+ X
1. 234.
3X (2) + 3Xx + X
11L XX 11Z. p +X
1. 2. 34
fit 12= h
S.
42. - 1
Y = 10F 11X + IXX 1 (3X + 14X
dy = + 1 _H.
+ 12 dx +2. 12X
+ C3dx +313X + 3. BXX
l7 14dx +9. 14X +6. 14 uX + 4. 14X
voc t 
153.  I. 2.3. 2
GX, ux 168 X
123.4 125, 4)  1o dx - 11X = 12 XX - 13 X. 1 127+ 124 41439 3
fit 14 = = 1 234 = in3 4 = 23. 4
2 + 2. 72 X
et 2. 22 -
3. 23
fit 23 = 23 et 22 =  2.2. 3 et fit Hx  421 = + - 23 + 3. By X +3 2XX 3. 2. +2. 3X = X
N =. X 1X + i XX F 3∞ + 14 X 115X fit X = n 1 
fit 1 = - ((2F13+ ex) n = B. 3+ 4. 4 + et X
_ 13 = 6. 14 + 10. 15 + etc
13- 26. 10. 15 +410. 15
sis
3.4.
1 = X
fx  Gx 1 - X - (X - sX
2
2X- 4, - x - sx - _X - s3X
.2.
2
1
3. 13
5 = + i2 ergosp= X - tZXX + S X
X 
ubi emini aequantur
1. 14 4. 14 6i14 4. 14X  a nihulo praetersumum
5. 15
14 - - 10. 15 0 s
n 12 substituratur 13 et14
10 15 10 15 5. 15X
o v + etC
X = si sx = LX + LXX. fit XX = 2 sX + X X =
XX = fxat 1AX + 12sX. 2X X 1+ 2X = 11 + 12X fit 11 = 1 et 12 = 2
X= uX + 12s + 13s(X fit 3F 1 + 3X + 3XX = 11 + 12X + 135X fit 1 = 1, 12 = 3t 3 13 -2. 3
ix tir 
x = 11X + 12 sX + Bssx  a + 12X + 13 sX = 1 + X + 6 xx + 4X = 1 H 4X
unde X = 1X + 6 sx +. 6 sX
+16X + 2.6FX
fot p = 14 X + 36sx + 24 sX. quae  quaun c tentanda ad regala. I. 4X + 46 sX + 4. 6 ssx
H fxX SXX = 2H X s_ + 2AX SN = sx + 6 sx +6s dictio
si omnes formalae expottuntur per summas et summas summarum facile summabuntur, et summi-sumnabuntur
Et si vicissim cujida, summae aat summi. summae habeatur valor per potentras faciissent regressas a pemimis
ad potentias
2
102
20 4
409
fit 13=24
12= 36
1= 14