# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/60565/text
# Catalogue record: 60565 — Pro Formula Generali Divisionis
# Incipit: [Bruch aus Termen 7. u. 3. Grades]
# Date: 1711
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=60565&katnr=57463
# Work: https://leibnizlegible.com/work/00068196
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folios: Bl. 203–204 (from the shelfmark LH 35, 13, 1 Bl. 203-204): 4 pages, canvases 401–404, page ids 00068196:0401 to 00068196:0404
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=401
# Lines: 160 recognised on 4 of 4 pages, mean confidence 0.78
# 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.
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# 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 203r — 00068196:0401
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000401.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 105 lines, status machine
ppro Formula Generali divisionis
20X +2IX +2UX + 23 a X +24 aX+ 2+ 2b a X 127d
10X+ HIaX + 12aX + 13a
S0K + 31a X + etci
n
dab
10X + 1 ax tete.
addatur quotiens
multiplicatus
per 10..
totum pravenient
id entificari
debet aquari huic
3X+3Ia KtEX +y aX + 34 a
34,
40aX ++1ax +ma
tox + 11 ax + 12 a X +Ba
quaeritur valor ipsorum 30,31, 32, 33,3 (et ipsorum 40, 41, 42
+ 11. 3 _ + 11. 31 + 11. 32 + l1. 33
+ 12. 3C
+ 12. 31 + 12. 32
+13. 30
+ 11. 34a2XX
+ 12. 33 + 12. 34a X
+ 13. 31 A (3.32
+ 13. 33
+13. 34a
 + 10. 40aXX + 10. 41 a X + 10. 42 a
10, 20X +10. 21 aX+ 122 aX F 10. 23 ax 11024CX =+ 10, 25aXX F 10. 2b a X + 10. 27a
3
=11. 20,.20
et 10. 31 = 10. 21 - 11. 20 et 10. 32 = 10. 22-10. 11 4 1+ 15.20 pet 18. 33 = 10. 23, -10. 11. 22 + 10. H. 2l 7 10
10t. 24 - 10.11. 23 +10. 11. 22 - 10. 11321 + 1t. 20
10. 11. 23,
+ 10. 11. 12. 21-2:10. ((. 12. 20
+10. II. 13.20
-18. 12. 22 4 10. 11. 12. 21=1
= 11. 2c
p. 40 = 10. 25 - 10. 11. 24-18. 11.22 +10. 1 t. 21
+10. U. B. 21
18. 12. 23 + 10. 11. 12. 22 =10. 11. 12. 21
= 16- 12. 21+10. 1. 12. 20
= 1
= 2. b. II. 13.20
= 10, 15, 20
= 10. 113.12.20
. Pr. 2 18_. 12
4103. 12. 12. 2l = 10. 11. 12.20
. 13.20
10. 40 = 40. 25 - 11. 34 -12. 33- 13,32
10. 41 = 10. 26 - 12. 34 -13,33
2
120. (
o
10. 42 = 10. 27 - (3. 34
10 4 = 10 26- 18. 12. 2) +10 1 +222 - 10- 15, 12. 21 L1F. 12
10. 13. 21 +19. II. 13.20
2
-103. 1, 12. 22=2. 10. 111L21 +3. 10. 11.312. 20
 ato. 1L. 23
c
10. 30X + 10. 31 a X + 10. 32 a X + 10. 33aX + 10. 34 a x
erit 30= 20,
8
10++220
2
a
et WV. 1IL2V
+ 10, 12. [3. 2
+10. F 2
W0Ht- 10 2b 10 42G710. 4 3 11  2 4  1 
L 103, 12. 13. 20
16. 13. 22 +10. 1I. 13. 21 =10. 11. 13,20
+10. 12.3, 20
. 25
23.18. 11
d.3 2 1o21. 1 2t
+1H. HL. E2.
10. 41 = 10. 26 -10. 122H F 10. 11. 12. 23 = 10. II. 12. 22 410. 113
e
d
7 - 11. 12.
+ 10. 12, 22 -7. 10. H. 13
+10. 12. 13. 26 1012
2+
23 =10. I1. 13. 22 = 16. 11.
+ 137. 12.92
0. 2 = 18. 27 - 15. 13. 24 + 18. U. 13. 23 - 1811. 192. + 10. 1. 13, - - 1 2me
418. 1. 13,._ -2. 18. II.N 17 4, 10. . 12. 15.2
X10213.H
in 4 abest 29
inqra
2512
st
113. 18. 1. 12. 20
(B. Il. 1. 120
I.
20
II. 12. 13. 2C
4. 18. 1
20
210
=10. 12.17
20
10

## Folio 203v — 00068196:0402
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000402.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 2 lines, status machine
FRIED WILHELM LEIB
EDERSALHSISLHE ENDESBIBLIOTHEK

## Folio 204r — 00068196:0403
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000403.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
20X + 21X + 22X + 23X + 24 X + 25X + 26X+27 = 30X + 3IX + 32 X + 33X + 34 +
per
10X + 1X + 12 X + 13
Et multiplicando utrobius divisorem, fiet
0, 20X +2IX +1X + 23X + 14X + 25X + 26X +27∞ 10.30X+ 16. 3IX F 10. 32X+10. 33X + 10. XX
10.20 31 = 10. 21 = 15.30 32= 10.2- 11.3]- 12.30
1302 =
3
O
35 = 10. 25
10
10
io
10
L
ns
34- 12.331.
86
35X+ 36X +37, 10
10X3 F UX L12X+3
+11. 30 +11. 31 + 11.32 + 11.33 + 11.34X
+12.30 +1231 41232
92 = 10. 23 - 11. 32= 12.31- 13. 30 34- 10.34-11.33-12. 32-13.31
10, 26.
+ 13. 30 +133)
=12. 34-13.33
5
+12. 33
+ 10. 36 + 10.3
10.27  13. 34
32X L33X +34X +35X + 36X+, 37, 10
10 X + 11X + 12X + 13X + 14X + 1SX + 16
 30 X + 31 
20X + 2 N +22X +23X +24X +25X + 16X+27Cd
+12. 34X
F13. 32 41333 + 13,34
+ 10,35
37 =
10X = 11X3+ 12 X F 13X + 14 X + 15X +O Et multiplicando utrobique per divisorem, fiet
10, 20X+ 2 X +22X +23X +24X +25X +26X +27~ 10. 30. XF 11. 30X+ 12.32X F 13. 30X +14. 30X3+ 15. 30X +16. 30X 
dit 10-
fiet 30 = 10. 20, 31 = 16. 21 - 11. 30. 32 = 1C
+10. 31 + H1. 31 + 12.31 +13.31 +14.31 +15. 31
+ 16. 31
+10. 32 +10. 33 +10.34 +10.35 +10.36 410. 37
22 - 1. 31 - 14. 30 33= 10. 2
55 = 10. 25 = 19,31 -15,3P 36 = 10. 26 - 15.31- 16.30.
10
= 12. 31-1. 30 34 =10. 24 -14. 31 - 1430
Et 10

## Folio 204v — 00068196:0404
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000404.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 3 lines, status machine
FRIED WILHELM LEIBNIZ BIBLIOTI
rat
CHSISCHE LANDESBIBLIOTHEK