# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/845634801:0353
# Permalink to this reading: https://leibnizlegible.com/page/845634801:0353?run=74
# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 347, page id 845634801:0353
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=353
# Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000353.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 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.
# 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.

ad R, 8
erectu
tOSa
lata
cAI
nes
ia ii
MI
1t
quen
nec
1d
nod o a
F R A N C IS CT VTF T A
QIOLCVA DE REBVS MATTTE.
AtALTCIO RESPONSORVM.
L LB F R VIII.
C A P Y X 1.
Problema de duabus mediis, d noror.
cplicatione culi interrosuus, quate eam non adenosceret
metra, ita respondi.
Fece Geomerrica quisquis duce construit, unum
Ad duo quae data suns puncta caxit medium.
Sed medium duplex illum reperire necesse est,
Ouem movet aucendi fabricajussa C ubi.
Tu numerare potes, numero (que resolvere: binis
Solvere de mediis arte Problema pores.
Septa Ceometrae non egressurus, idipsum
Tentas? invanum te miser, excrucias.
Oua caussae anne illa hacars est praestantior arte:
Quodque potest numerus, linea nonne potest:
Est data principium numerimonas, illius omnes
Adnumeros ratio est nota sub inde datos.
Sed nulla est ex se datalinea, quaeque relata est,
duod punctam solamenie sub est minimum.
Sic, cum principium mensurae circulus extet,
Ponitur ad radium quemlibet ille datum.
Oui vero exercet numeros, male collocat horas,
Si rectum curvo conciliare studet.
Nempe est ad minimam cycloides linea rectam,
Ad monadem sicut maximus est numerus.
Infinita Dei vis non datur, ut daturunus,
Nec punctum est caeliterra quod omnis habet.
Haec eso perpendens mysteria Numinis alti,
In scirponodum quarere non statuo.
Satre quorrereles ctruxere Problema aei diopelas contusere eis op-
havirmo, quales undecim summi illi arcitices, Fudoxus, Placo, HerO, ApoL-
Conius, Dioeles, Pappus, Sporus, Menechmus, Archycas, Fratosthenes, ac
denique Nicomedes. Quorum omnium sencentix extant apud Furocium
commentariis ad Archimedem. de Sphaera e Cplindro, ur non line cau-