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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 217, page id 845634801:0223
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.89
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Mgi
2ju
POTESTAEYM RESOLVTIOHE.
Paradiema primum analyseos cubi avulss a solido sub quadrato, ad
inveniendum radicem minorem.
I Eductio lateris singularis primi.
Coefficiens longitudo
Solidum suo mulcarum cubo.
Solidum restituens.
Solidum resticucum.
Solidum principale minuens.
Excessus restieuri.
rest explicari, idemque minus, ut indicat limirum praefinitio. Aujus quatratum est 900, ad quod dun
adplicatur solidum 24, 300, oritur lariendo 27, quancam ellam relinquit 57 post ablatam 30. In
cellicuntor rres proporeionales longitudines, quarum cerria sit 27. composita aureme secunda ex prima
30, latus alterum de quo proposica anceps aequalitas potest explicari componetur ex secunda ex terria. Sit
ergo larus alserUM LN. 2O - 27 N, aequabitur 81O planO Cx 27 in 30. FI fiet LN 45. latus majus.
Paradiema secundum analyseos cubi avulsi a solido sub quadrato,
ad inveniendum radicem majorem.
I Eductio laceris Cingularis primi.
Coiessiciensloneirudo
Solidum sub quadraco multatum late
ris cubo.
Solidum restituens.
Solidum resticurum.
Solidum principale minuendum.
excessus solidiprincipalis, religunmve
resolvendi cubi.
Divisorum (Planum explesionis, à
Pars Lduplo lateris primi in coef-
Superior) ficientem.
LCoiefficiens longirudo.
Religuum resolvendi cub
Divisorum (Triplum quadrarum la
Pars
teris primi.
inferior (criplum lacus primum.
abqua
h plbioto
buslate
laceris primi quadraco in coessi
nocoreibiatobi
Ptaque (157 O =E C, aequetur 24, 300. fIet F N 3O latus unum e duobus, de quibus aequalitas po-
aognaur diica
Cubus lateris prlint
A lateris primi quadrato in coëffi
ciensem longicudinem
TI Eductio lateris sirgMatis secundi.
Dissen