# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0151 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0151?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 145, page id 845634801:0151 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=151 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000151.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine # Lines: 60 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. 10 11 nC n Teri Verique igirur aquarionis parti addarur id quod defieir ab effecto a Matura radice pla- na quadraro, ergo hac aequalium aequalibusaddirione, rursus pars parri equalis erie. suct illraque pars dividitor subquadrarice, illic revocara ad analylingeneli, orietur manifelto Guad. + C plano F L quad. = Duod si alcera quoque aqualicaris pars posser diridi subquadrarice, quod oritetur, Forer radicibus lnsplanis ex prilta parre ortivis aequale. Ettingendum estisitur quadrarum à radice plana, dt illud alceri aequalicaris parri, id ElC Z. Plano. plano una cum suisadfectionibus comparandum ex adaequandum, ucr2- dices quoque comparencur d adaequentur inter sc; de caruarur idcirco radix illa plana eltingendi quadrari colidum = F in A, sc enim in comparatione eranelcent adfectiones lub A e gradibus, e incidecurin aequalicarem de F, quorendendum est Estictum isitur quadratum exic. FB Codosolidum p F quad. in A quad. = B Colido in A equale Z plano- plano - B solido in A. F C plano plano. F F quad. quad. + L. quad. Ih A quad. = C plano in F quad. Ex deleris urrinque adtectionibus sub A X A qua d. B olido coudum, aequabieur Z. plano- plano + C plano plano L F quad. quad. =- + C plano in C. quad. Ex omnibus in L. quad. 4. ductis a rice ordinaris, P. quadrari- cubus L C plano + in F. quad. quad. = 2 plano plano 4. = C. plano. plano q. in F. quad., ae quabitur B Colido- solido. Inno- releac aucem E esse D: A quad. + D in A, aequabicur B om = C plano + D quad. =. EE A PEOPONatur A quad. quad. F G plano in A quad. 2 -B Colido in A, equari Z. Plano. plano: radix ettingendi quadrari staEVCTUE, BEdidum = F. in A, comparanda A quad. + C plano F F quad. Z EE S PEOPOnatuE A quad. quad. - Cplano in A quad. 2 = B Colidoin A, Xquari 2 Plano. plano: radix plana eftingendi quadrari stacuetur. onaum F F in A, comparanda EE L proponatur Cplanum in A quad. 2 -+ B Colido in A - A quad. quad, xequari 2. Plano. platio. Inversis adfectionum nols: radix plana eftingendi quadrari saLHCTUE quoque + F. in A, Comparanda A quad. - C planO - +. F. quad. = EF SI proponamr C plan. in A quad. 2 = B Colido in A - A quad. quad., Xquari Z. Plano. plano. Inverlis adfectionum nocs: radix plana effingendi quadraci statuerur F. in EE E Proponatnr denique B solidum iA - C plano in A quad. 2 - A quad. quad, x- quari Z plano. plano. Invecss adfecttonum nocis: cadix plana efingendi quadrati CTaEUCEUE F in A, ecoido, compalanida Aquad. + G plano L F. quad. E. Fic ita que omni calu reducco qua imperara eA. A OY A ZTO N V V. A quad. = C plano F F. quad. = E comparanda A quad. - C plano = P. quad. =. A LIY E R. ualitatem quadraro-quadidti aftecti eam Cub latere quam quadea o Pe ccu CoCd radicem habentis planam, ad quadraticam reducete Proponatur A quad. quad. = C pratom A quad. B Colido in A, aquari Z. pl2. eroblelie addacur F. planum in A qualt. + F. plano plano Z. Pars igitur parcicurtus Platio, dividicor isicur quoque aleta pars subquadrarice, et ideirco eAingatur qua- Mlacum abs commodaradice, et illud comparetur, ee adae quecur alcera illi pats, uipote no. plano. porrer tacere quod imperarum elt. Duoniam per ea qux proponumtur, Facta metarhesi, A quad. quad, Xe quacurZ pla- 20. plano - C plano in A quad. = B Colido in A. a A + E. plano in A quad. + F plano. plano. daequabiur, ec ab illa quidem quum atidicur subquadearice, oricur A quad. + F uad. = B lolido in A, aquabitur L plano. plano - C plano in A quad. - B Colido Itaque E plani = C plano in A. IBIEUE otumo . - v1. 4. -Y E plano - C plano Hacurcor radix