# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0046 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0046?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 30, page id 845634801:0046 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=46 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000046.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine # Lines: 51 recognised, mean confidence 0.92 # 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. 2D L OCLSYTCFN SPEC a quaatato laceris primi in coefticientem lonsicudinem, minus solido à plano acpso sub laceribus in coëfficientem longicudinem, minus solido à quadraro lareris secundi in coeticienrem longimdinem, aquabitur cubo adgregari larerum, adfecto mulra solidi (ub coefficiemre longirudine de quadrato adgregari laterum. GENESISPOTESIALUM A negate mixtim ad frmate. PRODOSF FFO XXXVII Tladrato- quadratum adtectum adjunctione quidem plano- plani sub Clatere, multarero plano. plani lubcubo, a radice binomia, adlcitis congruenter sublaterali coefficiente (olido de lubcubica coeticiente lon- sicudine, componere. Sic radixbinomia A F B, coessiciens sublarerale D Colidum, coefficiens subcubica C lonsicudo. Oporreat quadraconquadracum abs A- + B, adtectum quidem adjunctione plano. plani ex A- + B in D Colidum; mulca vero plano plani abs A- + B cubo in C longi- Eudinem, CompOnerE. DuCatuE quadratum abs A - + B in A- F B - C, et in effecta Solida superaddico D Colido, ducarur A rB, et collisancur lingularia ettecta plano. plava. Fruncilla A quadraco. quadrarum, + A cubo in B 4, - + A quadraro in B quadratum 6 = + A in B cubum 4, - F B quadraro-quadraTO, = A cubo in G, = A quadraco in B ter in C, = A in B quadeatum cer in C, =- B cubo in C, F A in D Colidum, FB in D Colidum. Oux quidem equalia erum quadraco. quadraco abs A-+ B, 2dFecto multa pla- n0. plani ex A. F B cubo in C longirudinem, de adjunctione plano. plani ex A- t B eadi T H E O R E N A. ce in D Colidum. Elinc Si Fuerint duo latera, ee praeterea coefticiens subcubica longirudo; necnon ec coesti- ciens sublarerale Colidum: quadraco. quadracum laceris primi, plus cubolareris primi in lacus secundum quadruplum, plus quadrato laceris primi in laceris secundi guadea- cum sexruplum, plus lacere primo in laceris secundi cubum quadcuplum, plus quadrato- quadraro laceris secundi, minus cubo laceris primi in coefficiencem longicudinem, mi nus Colidotub quadraro laceris primi ex lacere secundo rriplo in coëfticienrem lonoi rudinem, minus Colido sub larere primo ex lareris se cundi quadearo criplo in coefti. cienrem longirudinem, minus cubo laceris secundi in coefficientem longitudinem, plus larere primo in coëfficiens lolidum, plus lacere secundo in coëfticiens lolidum, aequatur quadearo quadeato adpresatilarerum, adtecto mulca quidem plano. plani Cub cubo adoregari lacerum e coefficience longirudine, adjunctione vero plano plani sub adgrcgato eodem ee coeficiente solido. R OPOSLTTO XXXVITI Vadrato. quadratum adfectum mulea quidem plano plani sublatere, adjunctione veroplano plani sub cubo, a binomia radice, adlcicis conoruenter sublacerali coefticiente lolido e libcubica coefficiente lon- sicudine, compotere. Estoradix binomia A-t B, coessiciens sublaterale D Colidum, coefficiens subcubi- ea C longicudo. Oporreatabs A. F B, quadcato. quadrarum adfectum mulca plano- pla ni sub A +B et D Colido, acque adjunctione plano. plani sub A- + B cubo de G lon- sirudine, componere. Ducatur quadratum ex A. + B in A- F B- + C, de in effecta Colida multata D ColiaO, duCatUE A = B. _ orta plano. planA CrUNE A quadrato. quadrarum, + A cubo in B 4, =+ A guadraro in B quadratum 6, + A in Bcubum +, -+ Bquadrato quadraro, - + A cuboin C, - t A quadraco in B ex in C, -+ A in B quacracum in C 3, - + B cubo in C, = A in D Colidum, -- B in D Coli-