# Leibniz Legible — https://leibnizlegible.com
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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 343, page id 845634801:0349
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=349
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000349.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 73 lines, status machine
# Lines: 73 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.

congueretis
(Olr0.
OpOrriOI
media et e
fiTuE
OpOrt
irculi, q
tOP
ideo pot
ee prot
1
ndum et
cu
est
em
11
erHM
100.
183
en
A L L Y 5.
DE PROBLEMATIS OTORVM FACTIONEM
LP P E N DECVF A II.
POLEM EVS iple, LProlemxi paraphractes Coperni-
cus, cum ex tribus Epochis mediis, F cocdem adparen-
us CaGuMCLMmarum ablidUm IOCQ, _E FCCCNErOTC-
Cad Vt LpCCIOTM CemidiaMCEOS, GTCOmCETaS nOn Le
Produne, adlumentes opus tanquam contectum, quod
ideorelolruneinteliciter. Immorero C opernicus à rxuiar
non lolum Prosicetur, sed docet capice nono libri cerrii
rerolutionum, cum ex Fimocllaris, Ptolemxi de Albategnii obserraris Au-
det adle qui maximam polcaphaeresin Aquinoctiorum, e Epochas ano-
malix a limre cardicatis. Tuber enimnon jam artis, sed alex magister, cir-
Culum candiurerolri, doncc error, quem ex lua à nausseyora nalciagnoseit,
tandem li Pors dederit compenletur. Ouare Asronomos quoque excitabit
Apollonius Galus Adpendicula Secunda. Sane intelici Losista Fuirinteli-
CIOT GCOMCEa CopernicUS, itaque omissa a PTOLCMKOOMISE, commilit
aucem quamplurima. Se d ea supplebimus omissa ex emendabimus commil.
Ca in Francelinide, in qua etiam exibebimus Epilogilticen mocuum caele,
tium Prucenianam per hyporheles, quasrocant Apollonianas, si minus
Placent Pcolemaicx a motu in alieno cenero d hypocencis (eu Banvnncor
Wegorevorot liberata.
PR OBE E M A I.
Daco circulo, ex cribus punctis in ejus circumterentia, inrenire diame-
erum in quam cum demictentur e dacis punctis normales, legmenca diame-
CTIA NOTIALIBUSINECLCCPEA daTAI LCMCANELaLIONCMI.
In daco circuloBCD, Cu-
jus A cenerum. Gignata Cun-
eo punCta B. C. D. OPOTTCE
invenire diameerum illius
circuli in quam cum cadene
normolirer e punctis B, C. D
demicsa, segmenta diametri
ab iis intercepra datam Fe-
nEanETaTIONEM. IMPCreTUIE
ratio leomentorum à nOr-
malibus ex honis B, C, D
demissis incerceprorum esse
UESAdR. SECCTUF CBIn F.
UESIE CB adBF, siCUES ad
R, _E jUNGATUEDE qUAM FC
acta c cevero secer in HI ad
angulos rectos. Dico dia-
meccum FC eNe quae(IEaM,
in quam cum cadene nOr-
maliter BI, CK, DH: eric KI
adHI. ScUE S ad R. RectA
enim CB, FG erune paralle-
la velnon. Ouod S FuerinE
e
Paral.
REOMETRTOAM NON PRADUNT ASTRO.
NOME, ITAOTE INEELICITER RESOLVUNT.