# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/57479/text
# Catalogue record: 57479 — [De explicatione aequationis cubicae per binomium cubicum]
# Incipit: y ⊓ n + g. Ergo y³ ⊓ n³ + 3n²g + 3ng² + g³.
# Date: 1675-06-04
# Akademie-Ausgabe: AA VII,2 N. 033
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=57479&katnr=Cc2+980%2F%2B978A
# AA VII,2: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-vii/
# Work: https://leibnizlegible.com/work/00068201
# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folios: Bl. 302 (from the shelfmark LH 35, 14, 1 Bl. 302): 2 pages, canvases 603–604, page ids 00068201:0603 to 00068201:0604
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=603
# Lines: 131 recognised on 2 of 2 pages, mean confidence 0.77
# 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 302r — 00068201:0603
# Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000603.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 92 lines, status machine
n + g. Ergo _ vY n + 3ng + 3ng + g
y - 379 + 399 -g ( n3. sit y
N4 n- gH
Hiet f31 3ng +3ng
H V +n. erit G⊓ Y +GY n + 3yn + n. sive 53
er fici:
- 9- n f 3on yan
+n tg
3ngng
fiet.  sive f.
2YVn
27yn
Ythyn =3yn +n g
f)e 27 Y2n97. et ponendo GA3 Ln 8 Np n FBf3.
fii: G - X - N, (3I, (an 27Y N G. vel V e+ XCG
aos G2 - 3G. Y - 3G2 N, +3G~ +6G+YN + 3GX, + Y -  N- 3YN-X
27 YNG
et ordinando fief: Y3 + 3NY + E, N G Y +3G2N
Blederedensische
Randosbibliohet
Honnoror
conferatur vate 
-3G.4 3 42
- 3G N
6 N
+ 3N
N
+ Pd +aq ) + ar +Gv. C
N0
fiet N - G1 L. ergo in secunda: s et N- = NG + G B P.
ergo - p2 + 21 NG H aq ex terminis secundis.
V+ HFY  HF Y + uFra ro
si sit Y1) 13) ab + 1B ac
27
+ H
aq  
f3~ N. G,
Y2
vel Z3. 3bZ +3b17 = b2 pu. sit:  (2 qZue et o
2 z
3211
1969Z963
 =dV + d97  13 l 0. et explicando: B  Z+ e.
3a9 + pr
3, 21 
- 3h7 + 3h27 - 43
9
e
27
142 Y 2o + H Z)  2Z +h
 Z 7 + 3eZ + 3CZ + c2 conferendo: abe - 38-d. 367 35 461d4c
+d. - 2de. + de
N- 1NG+G 3
+ 3NG
 t9  +7aGCB
+G1 ∞ N.G
N2
(27NDL +H3 et sublato terminosecundo
= 3H2
27HG
12767
qu3
b3. 10. Sit jam aequatio:
- aC
arc
+1g. +d9c 770
+c
+5 + N Y~ + 27NG Y - 3GN ~ N. G
+
2
tet  et a b +  1(3 aC. ery- ab pY3) ac.   et fieti Mulint
A
Et quia in tertiis :a 3NG N∞ G + N + NG+G N G
21, 3
G
sive N-G vocando H fier: Y
XGA HG+ G
YH
28
s
13C +2lc + 29. inulile.
s. +3H
vaelequata +27tg. HG
+279.
si conferri possit
=27Gh
datae explicabitur radix buta
binomium subicum
Atqui hoc semper fieri posse
aequatio (urbrea quaelibet par
spungaliunde
d

## Folio 302v — 00068201:0604
# Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000604.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
Messieurs Perrier neuveux de feu Mons. Pascal m’ayant
fait l’honneur de me donner à lire quelques cahiers des ouvrages
Geometriques de  du dit sieur lascal marquez de
6. 7. 8. 9. 10. 11. 12. 13. 14. q’ay bien voulu
avouer par ce billet, de l’avoir receu de leurs mains.
Fait a Paris 4 ruin. 1675.
Lerbruzue.
2
DE
AE17 a
AB e
CB
3
CB b
V Tra
CBr.
CB F
ZaC
AED b ba
Il faut donc que
a
pea
YB
dea 3 1
a
se
BIBLIOI
RKOLL.
HANNOVEE.
tE
eL
y raV + qY + r. ponendo: YAZ a
per: 23s
3472 F 1qZ
a
a 1aZ +Ga
Fa9Z =qa
A 4X+
es