# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0189
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0189?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 183, page id 845634801:0189
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=189
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000189.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 71 lines, status machine
# Lines: 71 recognised, mean confidence 0.88
# 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.

observat
aci Wt
fecto eu
ete, 
um loca
livilion
bet
DeUSP
1. Ta1
ed
n
IeuIE D
toris
jentis
OL V FXO+
FF S
Cubi adfiumi resolvendireli
quum
Divisorum
riplam Guadra
tum laceris prim
pars inferior Friplum lacus prt
mum.
Summa lbisorun
Solida ablaricia
facta a divisori.
A latere secundo in planum ex
plerionis.
a quadraro lateris secunat it
coefficientem loncicudinem.
Alatere secundo intripium qua
drarum primi
Aquadrato lateris secunat 
plum latus primum.
Cubuslateris secundi.
Summa solidorum auferenct
equalis reliquo resolvendi ad
ficiencis cubi-
Leaque si 10, 00rG, F LC, aequetur 5, 773, 824. fit LN 24. Exretroerada, quae omnino obser-
vata cernieur, compositionis via.
PE OBEEM A IV
i Daco in numeris quadratoquadrato adfecto adjunetione plano. Plate
Sub lacere e dato coefficiente (olido, latus analytice clicere.
Ouamquam guadrato. quadrara adfecta possine per medium adfectorum cuborum
aradice plana reduci ad quadrara adFecta, uc adnocatum est; eamen incerdum ip (a qua-
draco- quadrati adFectire lolurio non minus impendiola est. Nam raro concigir radicem
planam cuborum esse rationalem. Sed et cubi duplicicer adhciuntur, cum quadrato-
Quadcara simplicirer adFeCra sunE.
ProponarurisiET O9 F L, 00ON, X quari 355, 776. Ouxritur quanta SIcLN, radix-
re proposiri adfecti quadraro- quadrati.
Id est, quidam numerus ductus in lui cubum _ in 1,000, Facir 355, 776. Ouarieur quis
Exnumerisille.
FIL355, 376 quadrato quadratum non purum, sed adtectum adjunctione plano-
Plani lub lacere quadraro quadrari, X daror,000 solido. Ouadraro-quadrari aurem
hujusmodi adtecti ordinata genelis, geneli quadraro- quadrari puri hoc cancum addic, uE
latus cingulare quod primum elicitur, ducatur in coesticiens solidum. Deinde lacus quo-
que secundum ducatur in illud ipsum.
ExadEecto hujusmodi quadeato. quadratour eruantur lacora, Le des unicarum quadea-
co. quadrara sincularia metientium, per quaternas, ur in analy h qua draro. quadrari puri,
distinouuntur fguras, punctis commode d dexera ad leram lubeus adnotatis. E. FquOE nu-
meraneur se des quadearo. quadrarorum, punctare, cor lacerum simplicium ledes, cum
coetticiens solidum sir sublacerale, consticuuntur per lingulas fguras desuper, policilque
etiam punctis desionabuntur, ee in ulcima eorum lede, quae prima Ec dum cendicur à lx
va ad dexeram, iplum coëtticiens solidum consictar. Vnde si consterpluribus liguris quam
una, prorumpene in anteriora reliqua.
Hisque ita constituris, latera elicientur non alirer quam in analy si quadraro- quadea
ipuri, hoc addico, quodipsum coelsiciens Colidum in divilorum numerum adseribicur.
Exelicica lingularia lacera ducuncur in illud ipsum, plano. plano quod inde fc sub se-
deejuldem coellciencis solididelinente, et auterenda ex adfecto proposito quadcato-
gnadearo.
Coet.