# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0357 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0357?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 351, page id 845634801:0357 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=357 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000357.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine # Lines: 51 recognised, mean confidence 0.87 # 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. pati BOrUM RESPONSORYM: LABER VIII. Indaro orbe cirei) in dato circulo. Ouod seemenrequirat ) Cui seBMentO RqueTUT. Data po- restas) darae linex rectx quadrarum. Scgminis) aequandum sCBmentO. SCXIX. Indaro orbe cirei) ad datum circulum. Duancum modulum requirac) quam analogiam H3- beac. Data posestas) dacx livex recta quadracum. Sesminis) aequandum segmento. Seprimae. Oua est porestas) quae est linea recta, cujus quadracum est aquale. Dari sesminis) dato le- smenco circuli. Octave. Ouaris scalra ) darum sectorem circulimajorem. Secaretrisariam) secare in ratione imperata. NonX. angulum) darum loctorem cicculi minorem. Sccare rrifariam) secace in carioneim. Perata. Feli aurem insolens Fortassis videbitur constructio, tamen omninone- cellaria est, ux propolitiones lint in turo, quas alioguin IFA CONCIPCFCLCCO- mecra. Daco circuloinrenire quadracum ae qualc. Invenire lincam rectam circumferentixe dati circulix qualem. Octendere latus quadrari circulo aequalis esse incommensurabile vel commenlirabile diameero. + Dato quadrato inrenire circulum xe qualem. 5. X6. Datum circulum ita se cate, ut lcgmentum x quale sic dato quadrato. Dato circuli segmento invenire quadratum aequale. 8. 89. Datam circumterentiam circulilecare in ratione imperata. Exilogus Poericaest. C A P Y F IV. NCCogEONOI. Radius. Merpumn rexon. Scalprum. AuvatS. Dies Seprimanae. a nabeir pe Cog apa non est duo do3iouor 8)cor duo pe las ard nogor dspcir e ouvexâ araenoga. Non magis chosa us (Cogeapuo lune dux medix linex Quam casa gmn doge apua dux linex parallela, rel chas a ige apua duX Tectx, dhas à pen aroge apua duXnIBEX, roNVg aa PluTCS, errege aa quin que, ac denique poroge auuorlinea una. Haeamy noge appa, dugea E Depore auva, nauronoze auua. de limilia adjectira a voce geapuns deducta lune(chemata e fgurX, guxe lineis intexSInSUUNtE. Radius elegans est verbum quo dimidia dimetiens circuli signiAICetUT. Cicero in Pinxo. Etglobolus fabricatus estmundus quod Crxcio D asposdes VOCAHE, CU- jus omnis extremitas paribus a medio radiis actingitur. Virgilius secundo S ACOFOICCOM. Hinc (id est, C Sylris) radios rrivereroris Aericola. Oridius ccudo MecamorpholecoM. 3Aureus axis erat, temo aurens, aurea summa, Curvatura roca, radiorum argenteus ordo. Placo Ouincae.