# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0209 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0209?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 203, page id 845634801:0209 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=209 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000209.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.85 # 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. clra1III lu 1a letio essibi 581. qualu ficiet (1CXIB et sici B E0 OFLS L A FV IE R E S OZV YFONEs TI. Eductiolateris aaris secundi. Flanum expletionis, a coeffi– ciente longitudine in duplum pars superior lateris primi. Coëfficiens loneitudo. Reliquum resticuri murili cubi. Divisorum (Triplum quadracum pars inferior. Primi. LTriplum lacus primum Excessus divisorum inferiorum Solida abl Divisoruit ouena sellloenie ublnobbbbia Solida addiriria A latere secundo in triplum quadratum la- teris primi A quadrato lateris secundi intriplum latus primum Cubus lateris secunut. 40 A latere secundo in planum expletionis 40 Alateris secandi quadta t vocst longicudinem. M Summa solidorum addiririorum Excessus ablariciorum, aequalis proposito re solvendo cubo adfecto. Hagat si XC. = 100, aequetur 288. fit L N 12. Ex recroerada, quae omnino observara cernieur, composirionis via- Sed etsi neotS adtecte cubus, de cujus relolutione aGItuF, For conster rernis Eguris. quoc coëtticiens lonsicudo singulis, incerdum tamen eo loci prorumpir coesticiens, ut nisi Analysta ejus rationem habuerie, deludetur non raro in exquirenda radice. Ouare magis eA, ur eo calu iphius coetficientis lonsirudinis cubo adaugeri lubintelligatur adte ctus proposirus cubus, arque adeo ex ita adaucto eliciatur lacus. Aur enim illud crit con- lenraneum, auc con (eneaneo proxime minus. Iraque si latus ica sumprum duabus depre- henderur constarefiguris, erir argumencum cubi nceptali, ec Hec, ( placuerie, derolu- uo in ancecedentia. Vein paradismate. Paradiema rur sus analyseos cubi acephali sub quadrato adfecti. I Eductio lateris lingularis primi. Coefficiens longitudo Cabus adfectus resolvendus 288 7 subquadratisa 20 Duoniam loneum7 20 adjunetum cubo ex 7. tacie lolidum 1063, cujus, ut cubi, lacus Lmajor g, ideo tc derolurio inancecedemria, et cubus est aceptalus.