# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0197 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0197?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 191, page id 845634801:0197 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=197 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000197.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine # Lines: 66 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. CoMdit 52. 28 nic quadea 140. C1b2 iciui 1brF 10e Reli B OZLS T A FYH R ESOLY XFONE Reliquum quantao uor adfecto re- solvendi Ouincurlum quadraco Divisorum quadrarum laltis prim Decuplus cubus esusat. pars infetiore Decuplum quadratum praectua ejusdem. Duintuplum latuse mum. Summa divisorum omnium Flato. solida ablatii cta a divisd. superiore ab a latere secundo in quine quadrato. quadrarum primi. Aquadrato lateris secundi in de cuplum cubum primi Acubo lateris secundi in decuplum quadtalum primi. A quadrato quadraro lateris se cundiin quincuplu lacus primuo Ouadrato. cubus laceris secundi. O Alatere secunaon oessiciens pla- Summaplano solidorum auferenda aequalis reliquo resolvendi quadra- 20 cubrauseltto Leaque si +O C + 50ON, aequarur 254, 83 2. fil LN 12. Ex vecrograda, quae omnino observaca cernitur, composicionis via. Ouod h conringar coetticientem in anceriora produciulera ipsum adfectum quadra- co. cubum, auc eum sicum renere, ur non possic à quadraro cubo auterri, derolvetur ea in sequenria sibi addicta puncta, ec quoc punctis recrocedet, tor delebuntur subrus pun- eta quadraro cubica. Neque res viderurnovo indigere exemplo, E bene examineneur ea quae in reliquis inferioribus superins sunt exposca. quoniam methodus generalis est ad Porestates quascumque, quam ance adnorarimus, no lque eriam de industria, quo id ma- sis conspicuum hac, eradidimus praecepta eadem fere verborum cextura et conceptione. Sic de quadraro. cubis adfectis adjunctione quadcarorum non damus Problema. Coet. Eciens enim, luo praeeuure explerionis Colido, non alicer se gerec, quam octentum est in cerrio ee quinto Problematis. PR OBLEMA VIII. Ei Dato in mimeris quadrato cubo adfecto adjunctione plario. solidi subi lateris cubo e daco coefficiente plano, lacus analytice clicere. Cubus eujuldam numeri ductus in sui quadrarum de in s, Facic 257, 472. In nOriSF O C F S C, aquIaTuE 257, 472. Ouaeritur quis sc numerus ille. 257, 472 CA quadraro. cubiis adFectus adjunctione plano- Solidi sub cubo lateris qua- deaco. cubi et daco plano. Ouadeato cubiaurem hujusmodi adFe cti ordinaca genelis, gene si quacrato. cubi pui- hoc cancum ad dic, ur laceris singularis primi cubus ducacur in coetticiens planum. De- delacus secundum ducacur in plano planum sub coëssicience plano ee criplo quadrato aceris primi. Liceris vero ejuldem secundi quadrarum in Colidum sub coësticienre plano al criplo laceris primi. Laceris denique ejuldem secundi cubus iniplum quoque coesti- eiens planumi. no. planum.