# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0101
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0101?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 79, page id 175905688X:0101
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=101
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000101.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 recognised, mean confidence 0.85
# 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.

cens
c 00
OcC
C
Ss
ex
5
L L B E R Y E R F F U S.
AF vero Si nullum inveniatur binomium, quod ita N
cocam AEquationis propolitae summam dividere posic.
duanam
certum est, Problema quod ab ca dependet, esle Soli- sint sonaus
dum. Necminus vitium est, constructionem ejus postea Equaione
per rectas lineas e circulos centare, quam ad constru
ctionem illorum, in quibus non nili circulis est opus.
sectiones Conicas acthibere: liquidem quicquid iono-
rantiam aliquam cestatur, peccatum dici merctur.
Porro li habeatur AE quacio, in qua incognita quan-Reductio
titas quatuor habeat dimentiones: eodem modo, sub- Equario-
latis primum surdis ex tractis numeris; ((i qui (UME) vi- mor aimon
dendum est, num inveniri possit binomium, compoli- sionum,
tum ex incognita guancitate t vel - quanticate aliqua
oux ablque Fractione ultimum cerminum dividie, quod num. LD
diridat Eotam Cummam. Floc enim si invenintur: vel quanam il
quancitas cognica hujus binomii crie radix qualica; vel la sint, qua
taltem post dirisionem hanc relinguentur tantuim in dicendas
AEquatione eres dimentiones, ita ut illa deinde rursus
eodem modo sic examinanda. Ouod Evero tale bino-
mium non inveniatur, oportebic ansendo aut dimi-
nuendo valorem radicis, iccundum lumma terminum
collere, modo paulo ante explicaco: de deinde iplam
2d aliam rcducere, quae eres duncaxat dimentiones con
cincat. Id quod hoc modoHc:
loco -f x + X. p XX. q X . Y∞O,
scribendum eAt.
Ar SS
Ex quod ad Signa L X - acrinet, qua omisi, ( ha- cam
beatur.  p in sequatione praecedente, in hac ponen-
dum est- F 2 p; aut Cihabeatur =p, ponendum cAt = 2 p.
X contra, Sihabeatur ibi- f r, ponendum hic Cst. L 4Y3
auc lihabeatur ibi- r, ponendum hic cst L 4r. e fivc
il
Prociomata
edisterote
Cubicto
mict qua
cum Proble
ma est Pla
Solida suns
Recuctio
Equationis
Duadrato
quadrata
ad Cubi-