# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/60667/text
# Catalogue record: 60667 — [Aufz. zu Summen und Produkten von Binomen]
# Incipit: (10x+11a, 20x+21a) + 30x+31a, 40x+41a fiet
# Date: 1676
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=60667&katnr=57654
# Work: https://leibnizlegible.com/work/00068197
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folios: Bl. 96v (from the shelfmark LH 35, 13, 2a Bl. 96v°): 1 page, canvas 192, page ids 00068197:0192 to 00068197:0192
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=192
# Lines: 59 recognised on 1 of 1 pages, mean confidence 0.79
# 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 96v — 00068197:0192
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000192.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
l
seu
a
(10X +ua, 20X + 21a) = 30X +31a, 40x + 41a
fiet + B. 10 XX + 10. 2) aX + 11. 21aa
X
11. 20.
+30. 40 XX f 30. H ax + 31. qaa
31. 40..
Re X + 10. 21 4 11 20 + 30. 41 + 31.40
= 0 =XX + 19. 2144. 20435. 41431. 40
 s
10, 204 3040
(9i C10. 21 4+ 11. 20 +30 41L 2. 40()
+a)L 2,10. 20+ 30.40)
10.20 30.40)
10.20 -70.40)X + (10. 21 +IL. N - 20. H 31. 40) a +  (IuCam 2ermon 3o q. 9, 10) - 4 ( 2- 31. A1, 42 . 70 4)
2, 10. 20 430.40
(N0 120 30. 40)X + (10. 21 4 1. 20 - 20 4(- 312) a A (qu 1d. 21+ 1, 20. 5o. 1. 2. 40) 4 sp. 9t , 1 20 - 30. 40)
en
etsimma
C 
10.21 + 30. 41 + Y (qu C. 10
+10X + 110 7
I1.40
= 41d. 20
30.4)
.40
L1 430.40
duct. in
31.40
d.21 +
(que n. 20
+10. 20
L) 420,40
du
20X+4a)
+ 10. 20
3o
411. 21, 10. 20)
+ (20X +31a, 40X + 41 a)
ita summa duorum productorum redacta est ad unum sroductum
4 30. 40
Eodem mod et summa trium productorum reduci potest ad unum productum
Cox Fa, EOX +Ia  + 30X 131a, 40X +Ia G0X+51a, 60X + eia
tantum opor EC pro 10. 21, scribe et pro 10.20+ et pro n. 2I, pribere Omnia Eupusmod
s
tit produdipium
 sunt autemhaec non s nisi biproducta, seu ex duobus
11. 201
At si essent triproducta reidendum plua, reducenda ad unum tripindratum
veniendum esset ad radices aequationis cubicae
11. 21 +31. 8
+11. 21 F10. 20)
30. 41) - 4
+31. 41 - 30. 40,
1V.20430.90
H. 131. 41
.2