# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0315 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0315?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 309, page id 845634801:0315 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=315 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000315.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 recognised, mean confidence 0.87 # 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. prop CxUIE1) R E S PON S V M. 30 259 (35) - L - X12, 150 (37) - 12, 300(39)+945 (41) = 45 (43) = 2 (45), aequabieur homo- seneo sub data D C unitatis eradu quadrasesimo quarso. C A P V F Y Exempla Adriani ad Problemaris sui solutionem nibil conferre. Drodaurem ad Caquae Profere Adrianus exempla pertinet, in secundi polteriore termino irreplc mendum. Peaque ica locum restito. sit terminus posterior Rbinomia 2 = R bin. 2 = R bin. 2 + R bin. 2. + R bin. 2. + (2. Cxterum ajo neque secundum illud neque primum sire cerrium ad Problematis lii lolutionem quicquam conterre. Aliunde videlicec termi- Ros, qui ur quaesici exhibentur, haberi quam vi Problematis. Neque enim deo quodopus Ceometrice compono idem Ccometricerelolro. Ad da. Camprimam de secundam construo seriem continue proportionalium eis cxcipor. Aenon ideo ex data prima, de quarta rel sexta exhibeo Greometri. Ccice secundam. Necmoreane in magnicudinibus pernumeros alymme os datis vel guasiris repetita per sriphos de loriras alimmetrix (ymbola. Oblcurum explicare per obscurius Marxorechnia est, praesertim cum 2d- Ectas porestates qualcumque resolvendi methodum non minus feliciter lam puras Analxcicenora in Scholas induxerit. Liceatautem FucUM Fa- Erc. Ouid ni c8o quoque mea bina Problemata Problemati Adrianis Aomebrerius expediam, artispo Da ita Solvero: Immo eriam au D Contar uodin suo non prxestiric Adrianu5) delignaveco: Propositumisitur esto N- P R OB E E M A I. Daca magnicudine cuiXquatuEZ N - FC, invenirCLN. TC, EqueTuEA 2. DicOL N eNe radicem binomix Z =N 3. eleriam, S2 3N = 1C, equecurradici binomix = -V 3. Dicor Nesseradicem erinomix 2- 6 = rad. bin. 23 = V 3 el eriam, radicem binOmIX = 13 3N -, C, aequetur radici binomix L F N 7. Dico, H esteradicemerinomin rad. bino. =5 I V eleciam, rad. bino. N3 - L; 1 = , C, aequetur 1. Ecquis veco, N primam, secundam. ve (estenim duplex) ac - UTATECONAEUIXCFIE: P R OB L E M A TI. Data magnicudine, cui aquatuTSN = 5C - + LO C, invenirC LN N =5C. + 1OC, aqueruTZ. DicOL Neseradicem binomix = =Y 2. Vel eriam dicor N ese2. N = sC F rOC, aqueturr. Dicor Nesseradicem crinomix = =V 26. Lacce birO. == + N 43 Veleriam LN cleradicem crinomix Z L ~ 2s + rad. binomia. 3 - SC. =1OC, agueTUE V 2. DicOL Nesterad. Bin. 2. =Fad. bin. 3, + V 2 eleciam dico, NCHrad. bin. 2 + rad. bin. 3 + N. et denique dico . Nelle rad. bin. 2 - rad. bin. V a 3 Sed el eriam, dico, N ese 1.