# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0169 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0169?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 163, page id 845634801:0169 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=169 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000169.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.88 # 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. UIM EROSA POTESLATUM PVRAEYM RESOLVTIONE. HFE tam Naturale es, secundum Philolophos omnes, Iecatu unum quodqueresolri eo genere quo compositum. Cc. Lutuim autem quadratum, purus cubus, pura denique 12 1 Clnque masnicudinum proportionaliter (canden- radu porestas componitur manitesto, operante A- richmetico, a cor singularibus laceribus; quocradix ip (2 univertalis constat numcralibus figuris in geneli, pro lin- Sularium ralore distribuendis, dt exprimendis. Sic Faclixuna numeralicontenta Rour27, a qua sic componenda pore- Ata5. Frso7 ducetur in le, live in sui gradum, qualem senus porestatis cAa- Sicaverie. Constet aurem radix duabus Aiguris veluri 12. CrCatIE POrCstAS à 1O, EE E constet radix eribus AguriS UEPOTC 124. Creatur POtestaS 2b 700 20 ee 4. Ecli pluribus, pluribus. Ouare resolutio quoque porestatis in tor Cingularia latera incticuitur, quoc constac radix universalis figuris numeralibus in geneli, iplaque pro singularium ralore distribuenda, e exprimenda. Neccamen resolurio illanno eodemque momento perticitur, quonia via limplicissimae compolitionis retras aEUI, quae circa duo tantum est. Scd itur per subdirisiones. Id est, primum relolurio corius lulcipitur in duo late- ra majus e majori proximum. Deinde majus e majoriproximuim adoie- Santur, X aeltimantur lacus unum. FEquod sequitur, latus alterum, de co deinceps ordinc. Acciticium itaque omne in his quae sequuntur praeceptis fero consistic. Primum, excremaporestatis resolrendae Agura, quae alioqui prima est pergendo a dexrra ad laeram, se des ecto unitatum metientium porestatem laceris ex singularibus extremi e minimi, ec adpolico puncto subtus adno. TATOT. Succedens sigura pergendo à dextra ad lxram ledes esto gradus ad po- celtareni paradociprimi, quod e lua N scu S, id est simplicis nota com- mode delignator. Succedens figura paradico gradu secundo addicitor, de lua quoque hoca delignator, et ea deinceps lerie, doncc dereniarur ad porestarem.