# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068129:0029
# Permalink to this reading: https://leibnizlegible.com/page/00068129:0029?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 5
# Folio 15r, page id 00068129:0029
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 14v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068129&page=29
# Source image: https://digitale-sammlungen.gwlb.de/content/00068129/jpgs/default/00000029.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 62 lines, status machine
# Lines: 62 recognised, mean confidence 0.90
# 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.

jam si ds d50 d a sit onstans seu unitas
fiet: da 4 da 99 = SF nn +n9 dat.
jam dF. 2bs (V5 ds: h + 2f 2bas. k
utique
in de
Et pro d6
pro de ponatur cddo.
et pro ddt ponater,  du do: a (quia dda = 0) Ergo
fiet a d6 94 anqdco da =  co du e id
a
Ergo da = an q agq aqn deo: aagq- nn coco
Datur ergo Cd per . Ergo datur et c dsde loganthmice.
Cumque co sit = dta: deo. Ergo dabitur at per N
ex suppositis quadraturis et per consequens etiam s.
itam sic quia dt = Sds: h + 2b ds: h. erit
dd ddt = sdds: h + s: h + 2b dds: h
pro ds substituendo  V do a
is
EC
Hi valores substi–
duantur in aequatione ), quae est ultima paginae
praecedentis, inde ponatur ds constans evarescet
dds, et pro a da ponatur yds: a, et habebitur
relatio inter  et f d   y et s per quadra-
a
initio
sed per differentia
uova 
turam, et inter ut non per quadraturam
merhodo nostra ad e quadra
lem primi gradus quamquam illa
turam semper traduci possit. habita gituo Y per 6 dabitur
a
et
Ergo dabitur
y ds per s ex quadraturis
Sed sed
6 per
quod desideribatur.
V i etc. voco dimensiones y; du adus dddus
vocou dimensionalitates. Jam Mea Methoous recucendi
V.
Data 
Cancentes inversas ad quadraturas haec est:
Aequationem dimensionalitatis datae deprime ad inferiores
ut tot nas obtinens aequationes, quit tollere veis dimensiones
mclitereharum
dimensionatitates quol sunt dimersionalitates
ope tolle unique iliterae omnes dimensionalitates p raeter
ultimam penultimam
quon Res eo redit ujus ut
una litera ad unam dimensionalitatem. reducatur. constat autem
data aequatione sup ad superiori dimensio nalitates  reperiripisse
deprimendo eam ad inferiorem hujus ope tolli posse aliquem
literaus superiorem dimensionalitatem. Imo plures superiores
quia danta plures aequationes inferioris
dimensionalitatis haberi possunt. Redacta jam Habitajam
dimensionalitates
aequatione in qua una utera sit unius dimensio nalitatis
ponatur altera  litera prcedere MiEmetice evanescent
comnes ejus dimensionalitases praeter duas proxumas et ita
rest reducta erit ad quadrdincutatum