# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0229 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0229?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 223, page id 845634801:0229 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=229 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000229.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine # Lines: 63 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. in adr pl 5) ple laI (4V isss (Solidum expletionis, à coefficiente intri- plum quadratum la- Divisorum terisprimi. pars su. LPlanum expletionis, d coefficiente in criplum latus primum. Coefficiens lonei- erudo. Reliquum resolvendi avulsi qua draco-quadrati. Ouadruplus cubu teris primi. Divisorum) Sexcuplum quadratum parsinse. lateris primi. rior Ouadruplum latus pri mum. Summadivisorum inferiorum. Summa divisorum superiorum. Excessus divisorum inferiorum perior Plano. P POTES Y A Y Y M R ESOLY LIONC. II Eductio lateris lingularis secundi. latere sccundo in quadrupium cubum primt Aquadrato lateris secundi in sextuplum quadratum primi ACudo latetis secunat in quadrain lacus primum. uadrato-quadrarum secundi. Summa plano. planorum abla iiciorum. Plano. plana addit Summaplano. planorum adali.. tiriorum. 39 225 43 Excessus ablaciriorum, aqualis residuo 3 33 4 5 6 resolvendo avulso quadrato quadrato. Traque (265C - = 00, aguerur r, 481, 54 4. fot 1 N 57 latus unum, e duobus de quibus aequalitas potest explicari, ipsumque majus, ut indicat limitum praefinitio. Hujus cubus est 185, 19; ad quem cum adplicatur plano- planum 1, 481, 544, orieur lacicudo 8, quancam etiam relinquit longirudo 57 ablaca e 65. intellisuneur quatuor concinue proporrionales, ex quarum prima, secunda e reriia com- Ponacur 57, quarca vero sit 8. Vnde summa omnium 65 coessisiens. Latus ipieur alterum componetur Ex quaria, secunda ex terria. Terria esto LN. Toitur LC. + 8G. + 64N, aequabitur 3. 648, solido facto a 57 dura in 64 quadrarum quarca. Iraque terria erit 12, secunda 18, atque adeo lacus mi- 15 38. Alatere secundo in jommnis expu- tionis. Aguadraro lateris secundi in planum explerionis. A cubo lateris secundi in coefsicientem 23 consirudinem.