# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 215, page id 845634801:0221
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=221
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 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.

ra maB
10167
nulea cb
ad
etb
LO+FSF A FVM
RESOLY FFONE.
Solida
215
A latere secundo in triplum quadratum
or
Aquadrato lateris secundi in triplum
lacus primum.
8 Cubus lateris secundi.
Soledum ablatitium.
Excessus solidi ablaticii, aequalis residuo
resolvendo cubo avulso.
Traae P 1O N = 1 C, aequeturES5,52O. fit F N 12 latus unum e duobus, de quibus aequalicas
Potest explicari, ipsum que minus, ur indicat limirum praefinitio. Cum autem adplicabieur solidum 155,
52O ad T2: Orierur planum 12, 960, compositum ex quadrato majoris es rectaneulo sub majore ex
minore. Idem planum 12,960 relinquetur. si abs plano 13, 104, auferatur rq 4 quadratum e 12. Ica-
que lacus majus esto L N, ergo1 Q. F IZ N, aequabitur 12, 960. 85 fiet LN 20S lacus majus.
Paracioma secundum cubi avulsi a solido sub latere,
ad inveniendum radicem majorem.
I. Eductio laceris singularisprimi.
Ouoniam radix guxe sira est major latere plani 4, 368, trientis r3, 104, nili aurem coet-
hciens in anteriora CrumpaE, OrIetUIT F duntaxar ex congrua divitione, argumentum est (o-
lidum sub lacere multarum resolvendo laceris cubo esse acephalum. Fr quoniam radix
quadeara coefticientis plani eAtr, commode latus singulare primum ConLiTIEtUEF.
draca coefficientisplani, à cujus
cubo 1,520, 875, cum subducetur ea quae proponiturresolrenda magnitudo, luperett
2,365, 355, ide0 radix Colidi illius est erium tigurarum, quarum prima est V C 1.
Coefficiens planum
Solidum sub larere multarum la-
teris cubo, acephalum.
Solidum restiruens
Solidum resticurum.
Solidum principale minuendum
Excessus solidi principalis, reliquum-
ve resolvendi cubt.
TI Eductio lateris linsularis lecundi.
20 6 Alatere sebtnao in co efficiens plartum.
De
O
3 x0 + 4
Summa solidorum addicniorum
sublaterale.
Cnon laceris primi.
Alatere prima in coëfsiciens
planum
Divisorum pars (Coessedenspla
superior
num
Reliquum resolvendi cubi avis
13F ]04
580
divi