# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0047 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0047?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 31, page id 845634801:0047 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=47 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000047.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine # Lines: 53 recognised, mean confidence 0.91 # 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. O F A P R FO R E S. Colidum. Dux ideo aequabuntur quadrato- quadrato ab A- t B, adFecto adjunctione pla- no- plani lub A - t B cubo, _C longicudine, ex mulca plano. plani sub A- + B radice e ipso D solido. Hinc concipitur Si fuerine duo latera, de praererea coettlciens subcnbica longimdo, necnon de coëfti- ciens sublacerale solidum: quadeato. quadrarum laceris primi, plus cubo laceris primi in lacus secundum quadruplum, plus quadrato laceris primi in laceris secundi quadeatum sexruplum, pluslacere primo in lateris secundi cubum quadcuplum, plus quadraco- quadraro laceris secundi, plus cubo laceris primi in coefficiencem lonoirudinem, plus Tolido sub quadraro lateris primi ee lacere lecundo criplo in coefficientem longicudi- nem, plus lolido (ub lacere primo e lareris secundi quadraro criplo in coeficientei lonsicudinem. plus cubolareris secundi in coefficientem lonsicudinem; minus larere Primo in coefficiens Colidum, minus lacere secundo in coëfticiens solidum, aquatur quadraco- quadraro ad sresari laterum, adFecto adjunctione quidem plano. plani sub cu- bo adoregaci larerum, de coëfticienre longitudine, mulca vero plano plani sub adore Saco ipso lacerum, et coefticienre Colido. PR OPOSFYFO ZXX +L Vadrato. cubum adfectu adjunctione plano. Polidi sub latere, e Lnulca plano. solidi (ib cuBo, a binomiaradice, adlcitis congruenter. sublarerali coefficiente plano. plano, de subcubico coefticiente plano, com- POHCFC. Sicradix binomia A + B. coefficiens sublaterale D plano. planum, subeubicum coefticiens C planum. F.fingendus sic quadraro cubus abs A- F B, adfectus adjunctio- ne plano. Colidi sub A. F B radice de D plano. plano, ac mulca plano. solidi sub A- + B cubo ec C plano. Componatur quadrarum abs A =F B, _ in illud mulcarum C plano. ducatur idem quadratum ab A. F B ex orra plano. plana auscantur D plano. plano, ee du- caneur in A + B. Orieneur haec plano. Colida A quadcaro cubus, =+ A quadraco quadrato in B 5, =+ A cubo in B quadra cumIO, =+ A quadraro in B cubum 10, + A in B quadraco quadratum5 +B quadraco cubo, = a cubo in C planum. = A quadraco in B cet in C pla- num, = A in B quadearum ter in C planum, -- B cubo in C planum, + A in D plano- planum, -+ B in D plano. planum. Finc E E O R P N A. Si Tuerine duo larera, de praererea subcubicum coessicieHs pra HIIII, De cHOH d lBIale rale coefficiens plano. planum; quadraro- cubus laceris primi, plus guadearo. quadrare laceris primi in lacus secundum quincuplum, plus cubo laceris primi in laceris secundi quadrarum decuplum, plus quadraro lareris primi in laceris secundi cubum decuplum. pluslarere primo in laceris se cundi qua draco-quadearum quincuplum, plus quadeato. cu- bolaceris secundi, minus cubo laceris primi in coëfficiens planum; minus solido sub quadraro laceris primi ex larere secundo rriplo in coefficiens planum, minus solido lub lacere primo et laceris secundi quadraco riplo in coefficiens planum, minus cubolate- ris secundi in coefficiens planum, plus lacere primo in coefticiens plano planum, plus lacere secundo in coefficiens plano. planum, aeguatur quadraro. cubodoregarilaterum adFecto multa quidem plano-Colidi sub cubo adgresari lacerum e coefficiente plano, ad- junctione rero plano. Tolidi lub aderegato lacerum, ee coefficience plano. Plano. N F S E E O R E M A. avultarum. 5 POT F ST AZ V M PR OB OSTFFO XL. lanum lub latere, a Guaa a Lal, aelet ca coneruencer sublaterali coefticience lonsirudine, componere.