# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 189, page id 845634801:0195
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=195
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
# Lines: 63 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.

nquol
lani, u1.
siuS Ioe
relis, 8
CicuI, a
pe
enter
dem le
(InGU
Ae
a1
lat
dum.
COTUII
POTESF A ZVN RESOLVFFOHE.
IIEductio lateris   Lecua.
Solidum explecionis a
Divisorum
pars superior Coefficiensplanum.
coëfficiente plano in
duplum lateris primi
16
Coessiciens solluum
Reliquum quadrato quadrari ab
ediresolvendi.
Divisorum
Clacrubuo buom
lateris primi.
Sexcuplum quadra
pars inferior rum ejusdem.
uadrupium latu
Primum
Summa intum divisoru
elat
cta a divisoribus
a laiere secundo in quadruptum cubum
prim
Alateris secunut Guadraro in quadra
cum sexcuplum primi.
A laceris secundi cubo in quadrupium la
cus primum.
A lacere secundo in solidum explecionis.
Ouadracoquadrarum lateris secundi–
Aquadraco lateris secundi in coëfficiens
planum.
Alatere secundo in coëfficiens solidum.
draco. quadratt dusectt
itaque si 1QD. F 200 F 100, aquecur 449, 376. fl 1L 24. Cx retroeracta; quae binno
no observata cernitur, composiionis via.
Ouodhcontmoat alectionum plano. plana quadeato. guadrato iplo elle majora, co-
elliciences magnicudines principalius dividens, ec eadem prorsus rario ob servabitur, guae
in reliquis porestaribus anre est expolica, urnihil opus sic verhollus eam iradere, dt ex-
emplis oltencare
quadeari. Echenim Colebacncoligi ab Arichmerieis, quia illud eanquam quadracum re-
lolvebane, de ex latere ur quadrato rursus lacus eliciebane, aevia ista re solurionis ad adte-
ita quadrato. quadrara inepra est. Sic in cubo. cubis ee ulcerioribus reliquis magnicudi-
mibusper pares numeros in ordine climacticarum adscendencibus derenien dum semper
elt ad simplteura aliatslun, quando adfectxe sunt.
De quadraro. quadrarisporro adfectis lub cubo praeceprarradere parum reterr, quo-
niam ea adtectio pocestcolli.
Suiima plano- Planorum auserco L _1) 5) 6
da aegnalis reliquo resolvendi qua-
Calerum exhis adparet quo consilio fueriE pEoPOSIca analyliS L PleK PC Gaal-