# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067996:0019
# Permalink to this reading: https://leibnizlegible.com/page/00067996:0019?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 1
# Folio 10r, page id 00067996:0019
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 9v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067996&page=19
# Source image: https://digitale-sammlungen.gwlb.de/content/00067996/jpgs/default/00000019.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.78
# 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.

e
quae quidem aequatio omnium Quadatiiarum  ducctum in cognitatum maxime
completa est
+(Gh..
adhibeatur alia ei similis atidem factit ia per Bmullisa
calu
(h yX + aC X (b t y  DC X ab _( y = e+ B
ab
+ a Xβ.. + A hB..
ul
LBe
Na duae aequationes intelligantur junctae, constituentque aequationem
in duas reselubilem, omnium compositissimam; conferendam
datae Numericae propositae Quadraticae completae.
per f9 + aC3 multiplicatae  nempe
F9 X f m Xy 1 sn 1s8 pX 15Y qu +s
ra(
1aβ
13
. . . + aβ
as
Conferanus, fiet 7l + f9Y , f9m + a m
Term. Sec. YX, YI + f9Y + Bhl + Cab  fm + aβl.
Ten. 3lius y
Term. Atus X
Term. Sty y
9c7 + Bbh  fan + aBn
+aβ..
cYl 15dY + DBl  a_ B SF + a βP
geY +dY + bDβ + AhB, fgb + a β4
brn Hongenes itmch. edV + B A β - + fVY + aBY
Ex VX, fiet C⊓ sm + aBY- f9Y = B til - Bab
hp
SVn + a Pn = gc7 e pucta vafier
m
hej SVIn a Bn1 - 9VGm -9aB L49. 7) i)Bab
N1βb - 9YB1
e H fY P + aB p - fdY - Oβ1 - a)β
Ah B
dA - gV  p)- gVaBp + g35d 9) oel eg )alB- bep ) l a f dltaeus
cg c9l + fV 9l
Nam explimi h neque
tinetur d, neque per consequens e.
ExHtomogene qui restat potes collatitia aequatio, haberi potest pur valor simple
f cujus libet literae incognitae, quae reperitur in ipso neque reperitur in denominalore
ipsius h, vel ipsius e, vel ipsius d. qualis est . vel A. vel a.
Una ergo ex illis eligatur v.g. B. Reliquae jam indeterminatae
Atque ita absolvimus omnia meris aequationibus simplicibus, qua sin numeris exequi licet
Reliquas incognnitas, a. b. f. BR. V. 9 assumere licet pro arbitrio unde eas partim nihilo.
pertam punero dato, partum altei inegruto aequaes facentus puoant postilabit seateuli
X
Non explicui h, quia in eo non con–
(x