# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 437, page id 845634801:0443
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=443
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

LR A N CISCT. YIVL X
MI V N F A E V.
ADVEESVS HIOYA CTCLOMBLLLA
Seu,
A N X YH E A E K Y Z.
SF Kr N Z illi operam infeliciter, qui suis, quas Secu
elaS vocanE, Aguris conaci lune circulum criginta sex
mentis hexasoni adaequare. Ouid enim certi ex ma-
snicudinibus plane inceriis porerant resolvendo consé-
qui: F: qualia aequalibus addanc rel luberahanE, per xequa-
lia diridane aut muleipliCeHE, INVCFEANE, PCTUECME, ac
denique per quolcunque proportionum gradus depri-
mane, vel actollane, hilum sua Zerel non prohciene. Led in vicium, quod
Losiciappellane aiqua 25 airquar ∞, Diophanexi aioorna incidene, aut
demum Falso sciplos deludent calculo, ue peaesensisene, s qua lux cis ad-
Fulaiset verx analycicx doctrinx. Sunt aurem imbelles, qui uorosouss ictas
bixennes reformicane, e jamm ab iis sauciatum deAene Archimedem. Sed
virie Archimedes. Neque enim eum oftendune ila dogea equa a WEi 2o
a anes, id doin Do Doeta, Anapodixes, verbamagnitica. Ouo tamen un-
dique SnE CutiOreS,
Nubiceros clrpeos, intactaque cadibus arma,
Ced duarenenr a, quibus primum se le muniane, protero, lubministraturus n-
ncumas E Forre holtium ferocior audacia cst.
PROPOSFFTO I.
RHBFErS dodecasoni circulo inseripei, minorem habet racionem
ad diametrum, cripla sequioctara.
Cenero A incerrallo quocunque A B describatur circulus B CD, in quo sumatur BC
circumterentia hexagoni, quae sececur bitariam in D, _ subcendatur D B. Es igitur D B
lacus dodecaconi, quo duodecuplato in F, erie D F aequalis ambirui dodecagoni circu-
I0 BD C inscripri. Agatur aurem aiamerer D F. DicO D E ad D P, rationem haberCMI-
norem eripla se squioctara.
Jungancur enim BC, BA, iplamque BC diameter D F secet in C. Ergo bitariam
de ad aneulos rectos lecabit. Teiangulo aurem D BC construatur simile eriangu-
Ouoniam recta B Csubrendirur circum ferenrix hexasoni, ideo B A seu D A ipA BC
lum D F L.
es aequalis. OLarE COnSTIEUTA A C seu B C parrium octo, AE B C carundem quaLUOF.
Ouadrarum vero abs A C eAt 48, _ ideo AG AE major 6=Z. Iplaaurem D CminoE
25. Er cum constiruta sic D E. duo decupla iphius DB, erir quoque F. H duo decupla
ipluo
HIhh 2
I
or