# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/144/text
# Catalogue record: 144 — [Aufz. zur Algebra]
# Incipit: 100 = 11 + 12l 200 = 11 + 12m fit 11 = 100 - 12l = 200 - 12m
# Date: 1705
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=144&katnr=59112
# Work: https://leibnizlegible.com/work/00068227
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 14
# Folios: Bl. 7 (from the shelfmark LH 35, 3 A 14 Bl. 7): 2 pages, canvases 13–14, page ids 00068227:0013 to 00068227:0014
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068227&page=13
# Lines: 193 recognised on 2 of 2 pages, mean confidence 0.74
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 7r — 00068227:0013
# Source image: https://digitale-sammlungen.gwlb.de/content/00068227/jpgs/default/00000013.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 123 lines, status machine
Observatio ad Recensionem Libri de Fidei
et Rationis consensu a Dn. Jaqueloto editi mense
Octobris proxime praecedente
quam
  i es queosi centerbim de cibnitiano
Hatmbulae praestabilta systemate y12 = (34) - h - 9:g
9(3= (4h) - h a BC, B
un hlic Recelsio Leit dCX
3
io = (h) - h - e,: C = 910 Z gu = (2h) -h - f, : f = gH 912 - 2
() H
920 = 910 - 9117:, -f
930 = 920 = 9217 :, f.g
140 = 930 - 931, 1, 9.6
210) (1. 2.3.5.7)+
_  10. 14
15. 2135
36 42. 70
15
210.
Cb 14
1d CM
2
1. 3
et
3
921 = 910 - 914, :, C-9 922 = 910 - 913, in e- D 
ho
931 = 920-922,:, f-B (x + 2XX + 3X + +35
15
x =ydI fit ullinus torur
1C
100
69
1. 2.4
px +5X +6
= 102093
4 7641 0
l. 3. 7. 122
+ 6X + 12 XX + 18X + 20
x+ qu + 19X7 + 62XX F 1934+210
67419462P1934210=66 210
4, 6.85 erse
(2. 164. 246
492
105
492
et
3n7
1AXXC
23 A
9
29
 193 62
492f296 66
AB2F(23)
444 3 t41
2
7C
213 213
123
2.5. 2. 3, 1L 131
A134(9867+ 3489+46 8289+29
76410
21. 366 4 a
61
213
70000 P269+9+23
140
+ 5X + 10X + 15XX + 175X
3.41
127
8561 197340, ult. term. si X = y +105
= 100000
= 25683
2568
25
210
X L 2X + 3X + 35XX
+
X= ve 66 cujus divisores 11, 3, 2, 279 20 19
1. 2. 3, 11
5. 22. 3.
66
+ 100000
1223
9
3
143 5
MI
2. 2. 3. G. I1. 13. 23
4. 5. 10, 22. 26,56
15. 33, 39. 69
55. 95 115
143 253, 299
836 212. 20. 445292
P23+9 1213+4
1 ex
e 1(X3L5D2
133et 
30
 2(39
2
2. 2.
S.
21. 22
a sodt
1
1229
85B1
56
A+AX AB
25DBBIIErII
D3
iZa3t
77
h3
se
XL
Agq
1
AxR3t4
i

## Folio 7v — 00068227:0014
# Source image: https://digitale-sammlungen.gwlb.de/content/00068227/jpgs/default/00000014.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine
 1I + 12 l + 1gH
200 = 11 + 12m fit 11 = 100 - 12 l =200
et 12 = 100 - 200, :, l - m = 120 et 11 = 100 =  110
00
100 = 11+ 12l + 13l = 200 + 11 + 12m + 13rum, fiet 11 = 100 - 12l= 13ll = 100 1
fiet 12 = (100 = 200, :, l - m) +  13 ((+ m) = 120 + 13(+ m). sed nova
pursus aequatio 300 = 300 + 11 + 12n + 13nn, unde 12 = 130 + 13(l+ n)
10
= 100-300, Cp:, l - n  Ergo 120 + 13 (lam) = 130 + (3 (+ n)
=132230 a(2C- 126 +42
220 = 11 = - 10 + 120l 6 - 2do(  12)
3og = H + 12n+ 13nn t4n
sit 1 = 120 - 130,,  - (m - n) =
jen  200 = U + 12 m + 13nun + 14 M3 400 = uF 12p +13 pp +14p
 10 + HL+ 12t +13 100 = 1 + (2l + 13ll 4 14 (3
11 = (100- 200, :, l.nt   = 1(Lm)  i4 (U+ bm demm) seu -11 = 100 + 12l+ 13ll + 14 (3
= -200 + 12M + 13nm + 14m, ergo - 12 = - 100 + 13l +14 Il
+ 200
= 100+ 300: l: n = = 130 W01 400,, l P= 190 I- m
M
Im
un
osen 120
adi C 1hoC1
fit rursus = 12 = - 130 + 13 l + 14 ll quae aequando sit c- 120 + ( m13 + l m 114 = 0
- 100 + 2007 :, - m =- 120
un
120 - 130, :, m - n, = 220 fit - 13= - 220 + l114
+ 130
To
10-140, :, m - p = 920 et - 13 = -730t  14. Et laadem 14=
Ln
 mMm)
 un
220-230
2
el 13= 220 = in 320 et = 12 = = 120 + 220 l + l3l 320 4 320 I
im
runi
14 =  320 = 13 = = 220 4 1320 -12 = -120+ 1, 320 = 
en - 12 = - 120 + l 220 = ln 320
1
n
ma
Hinc in altiore fiet
lI = 100 - 12ol + 22olm - 320 lmn- + 420 lmnp
12= 50E120 = no l + 320 Im = 420 lmn
3=
ad p
+ I 220
Y220 -320.  + 420 lmb 
+ 320
= 420
ad p
ad
nun
= II(D 320
 V
220 = 230 -32C
n- p
320 + ( 320
m 
11= - 10 +130l - 1 l. 220 + l. lm 320,
et fit = 11 = -1d + 12ol -  2olm +0320 lmn
adn
1d
bn
tum
AV Um M
320