# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0227 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0227?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 221, page id 845634801:0227 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=227 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000227.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 recognised, mean confidence 0.91 # 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. 10 POTESTATVM RESOLVZTONE. P B OBL F M A Z X. i Dato in numeris plano. plano sub cubo ex daca coeficiente longitu- dine, adfectomulta quadrato-quadrari, latus analyrice clCere. PTOPONALIESSC = TO Q. aquari 1, 481,544. Ouxcieur quanta Sic magnicudo LN, radix. ve propolci quadraco. quadeari avulli. E. (L, 481,544, Plano. planum sub cubo, et dara coefficiente longicudinc 65. Ouando aurem poreltas negatur dehoriogenea lub gradu, latus est anceps. Lraque Ca qu_ pro- drance 65. Alcerum majus. Ac proinde cum ad rriplum longicudinis ss adplicabicur qua aus est do- dcuxlum plano. plani 1, 481, 5 4 4. orierur Colidum majus cubo radicis minoris, minus re- ro cubo radicis majoris. Acque 2deo urravis radixiFA OCCUPreL. Paradiema primum analy seos quadrato-quadrari a vulst à plano- plano sub cubo, ad in veniendum radicem minorem. PEductio laceris singularis primi. Coëfficiens loncirudo Clano. planum multatum resolventu quadrato. quadrato. Plano. planum restiruens. Plano planum restientum Plano. planum principale minuens Excessus plano. plani resticuri, reli- quumve resolvendi avulsi qua draco quadraii. TI Eductio laceris lingularis secundi. (Solidum expletionis, à coefficiente in cri- plum quadratum la- reris primi. LPlanum expletionis, a C0 efficience in criplum latus primum. Coefficiens longirudo Reliquum resolvendi avulsi quadra t0. quadrat. Onadruptus cubus la- Divisorum cerisprimi. pars pserior ESexcuplum quadratum lateris primi Ouadruplum latus primum cessus divisorum superiorum. lbbebobibo drato. quadrarum lateris priit rabola Acubo laceris primi in coefsicientent onsicudinem. 0- vis sub