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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 182, page id 845634801:0188
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182
Vgaue (LC- = 30 9, aequetur 86, 220, 28d. fit LN 432. Ex retrograca qua omnno dosetr
cernitur composicionis via.
Incerdum accidir coefficientem lub gradu sschoinem in anreriora produci ulera
ipsum adfectum cabum, aut eo lalcem loci, ue cum ip Ca hre dirisoribus, ab adFecto cu
boauferrinon possic. Ouod argumentum est cubum non tam adtici, quam adAcere, quo-
niamminor sic adEcienre solido. Coetticiens itaque ad succedentia quadrarorum locas
seu puncta quadratica desuper adnorara ordine revocanda est, donechelocus divitionis
 quamagis consentaneum est, ut opus tunc Meltocus ez ogeneorum bene ob.
servaTA. EF quor punctis rerro ceder coesticiens lubgradualis, tor delebuncur subtus pun-
cta cubica, a quibus alioqui ducendum fuerat operisinicium. Ve in quaectione,
Ouadrarum numeri cujusdam ductum in lacus e in 20, 000, Facic 57, 732, 824. Inno-
ti5 10, 00ON . F TC, aquatUE 57, 732, 824. Ouaritur quis sic numerus ille.
NMerUS 57, 732, 824 est cubus adjunctus Colido sub lareris quadraro et data longi
cudinc r0,000. Majus aurem est Colidum cabo, ur indicar sicus coefficientis longitudi
nis, qua quidem procumpie in anceriora. Leaque devolvenda est in proxime succedens
quadcaricum punctum. Sed ex punctum quoque cubicum, quod ad leram primum oc
currir, delebitur, ee ad opus pergerur, a dirisione magis inchoandum quam a radicis
eductione, ira ramen ur cum Colidum diridatur per longirudinem, quod inde oritur non
incelligacur radix ipla. Sed radicis quadrarum. Illud enim est lesi homogencorum ac
cendisse. Veridere eA in paradismate.
Paradiema cum solidum adfectionis sub quadrato majus est cubo.
T. Eductio laceris singularis primi inanis ance derolutionem.
Coefsiciens longicudo 100
Cubus adsiciens resolvendus
Ouoniam prorumpic coe
Coefficiens loneitudo
Cubus adficiens resolvendu
Subquato abtbm
Puncta quadratica.
D E. N Y AK E R OS A
anctacubica
bi, ideo tir derolucio in sequens quadraricum punctum, delero quoque puncto cubico.
II E. ductio laceris lingularis primi post derolutionem.
ica longicudo extra Rguras adfcientis cu
Solidta ablacicia
Summa solidorum ablariciorum
Reliquum resolvendi adficientis c
TIX E ductio 12
(Planum exple-
Dirisorum pars (tionis, a coeffi-
fabettor, laque ciente in duptu
lateris primi
Coefficiens lon-
dicudo.
pracipua
A
drato lateris primi voes
Ecientem longirudinem.
us lateris primi
lSAnE
secundi
Eubi a
divisoru