# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0175
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0175?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 169, page id 845634801:0175
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=175
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000175.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.84
# 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.

adiam
e
Sis
Eui P
1
est.
vic 
POFL S Y A FY M RE SOL V FFON L.
Paradiema anat seos quadrat qui
I EductiO LaECHSMMSUTALL PPHII.
Omadrato- quadratum resolvendum
traripuri.
5
2e
77C
CON. Sedes singularium
eey
drato quadra
in ex plano.
ru sub eradibu
26 Quadrato. quadrarum lateris primi
Fot
ales circu
et
elano. planum ablavicium.
Reliquum resolvendi gnadrato quadrari 277 7. 6.
TT Eductio laceris linoularis secundi,
Reliquum resolvendi quadrato. quadrari
Ouadruplus
laceris primi.
Divisores Z Sexcuplum quadratum
ejusdem.
Ouadruplum idem latus
Summa d
Plano. P
a latere secundo in quadruplum cubum
la
ris primi.
i quadrato secunau sen n quulito
cum primi.
a cubo secundi in quadruoium lateris
256 quadrato quadrarum lateris secundi.
Summa plano. planorum, aqualts testauo
resolvendo quadraro- quadrato.
Laque s2 L O ∞. aequerur 33, 1776. fit L N 2 4. Ex retrograda, quae omnino ob servata cernitur,
compositionis via
Ouod si rOC aquetur 20000. Ouoniam 20000 non est quadraio quadratus numerus ac-
curate, lacuselicierur proximum vero; adjectis quaternis numeralibus circulis in infinitum; es erit
21. 8.4
o latus minus vero, vel 2T. S. SS latus majus vero. Medium satis propinquam 1I . 
P R OB L E M A IV.
i dato in numeris quadrato. cubo puro latus analytice clicere.
PFOPONAtUEK QC, aquari 7, 962, 624. Ouaericur quanca sIE L N, radixve propolici
puri quadraco- cubi.
Cropolitus igiturnumero quadearo. cubus intelligitur componi à corsingularibusla-
ceribus, quortiguris latusunivertale, de quo quaericnr, constat in geneliquadraro cubi-
d quem Rgurarum numerum arguendum. extrema numeralis figura quadraro. cubi,
ncipiendo à laera ec ad dextram pergendo, lignabitur puncto, ec reliquae in anteriora re-
Erediundo fgurae quinae alternx, quaruor videlicet interme diisrelictis, cum ab unicari-
busad quadraco. cubum quatuor hne pradus scansiles N, 9. C, 0 9. Cumicaque duo pun-
a line, cor constare quadraro. cubus universalis lingularibus quadraco. cubis, larulque
imilicerunirertale cor singularibus laceribus pronunciabitur.
Er cum eadem sicrelolurionis via quxe cumpolirionis, quando aurem componitur qua-
dearo. cubus a duobus lingularibus laceribus:
d
5