# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0041 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0041?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 25, page id 845634801:0041 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=41 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000041.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.90 # 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. N OZ A L K+OL F 5. A L O L L M a Selteleos cubi adfecti adtrmate sub quadrato. Si Everine duo lacera, ac praecerea coefficiens subguadratica longiendo: cubus laceris primi, plus solido à quadraro lateris primi in lacus secundum eriplum, plus Colido à latere primo in laceris secundi quadratum criplum, plus cubo laceris se cundi, plus solido à late. risprimi quadearo in coësticientem longitudinem, plus solido a plano. duplo Cub lareri- bus in coëfficienrem lonoirudinem, plus Colido a laceris secundi quadraro in coefticien- tem longicudinem, est aequalis cubo adgregati larerum adfecto adjunctione solidi, suls coellicience illa et dicti adgregari laterum quadraro. Sic lacusunum A, alcerum B, coefficiens sub quadearica longicudo D. Dico A cubum, - A quadcaro in B 3, F A in B quadraEum 3, F BCubO, F A quadraco in D, A in B in D2, Y B quadrato in D, aequari A. ; B cubO, L D in A F B quadEATUI. F X opere mulciplicationis A quadraris A in B2, F B quadeaEO, per A. L B + D. Aliud Y E E O R E M A. Si ab eadem binomia radice componantur duo cubi, unus purus, alcer ad Ermare ad- Fectus sub iphus radicis quadearo et adscira coëfticiente lonsicudine: Singularia (olica quae compolitio adfecta addir compolrioni purae, lunE Solidum d quadraro laceris primi in coefficiencem longirudinem. Soltum a larere lecundo in duplui planum quod sr à lacere primo in coessicien- E R OPOSZZTO ZZVTTI. Vadrato. quadratum adtectum adjunctione plano- plani sublarere, binomiaradice, adscico congruenter lub lacerali coefficiente solido. COMPONCKC. Sic radixbinomia A -t B, coefficiens sublaterale D Colidum. Op orrear quadeaco qua deacum abs A -F B adFectum adjunctione plano. plani (ub A. + B, ec ip(0 D Colido, com- Ponere. EFingatur cubus abs A. t B, d in illum superaddico D solido, ducatur A- t B, e collirantur effecta singularia plano. plana. Fruncilla A guadraco quadeacum; =F A cubD In B 4, =+ A quadraro in B quadrarum t A in B cubum 4. =+ B quadraco quadraro, + A in D Colidum, - + Bin D Colidum. Oux ideo reguabuntur quadraro. quadeato abs A- t B, adFecto adjunctione plano- plani sub A F B, dc ip(oD Tolido. Finc P H E O R E M A Geneleosquadrato. quadrati adsecti adtrmate sub Lalet. Si Fuerint duo latera, e praecerea coefficiens solidum: quadraro quadratum lateris primi, plus cubo laceris primi in lacus secundum quadcuplum, plus quadraro laceris pri mi in laceris secundi quadracum sexcuplum, pluslarere primo in laceris secundi cubun quadruplum, plus quadrato. quadeaco lareris secundi, pluslarere primo in coefticiens lo- lidum, plus larere secundo incoefficiens Colidum, est aequale quadraco- quadrato ad- srexuri larerum adfecto acjunctione plano plani, sub dicto ad siegato, e coefliciente lolido. Mlacuo Aalcelu B Cochlelens lublaletale Toncua. Vicoa Glactato. Gla draru, + Acubo in B4. F A quadraco in B quaatac 6, +. A in B cubum 4, t B qua- deaco quadraro, -+ A in D solidum, F B in DColidum, Xquari A. + B quadcato. qua- deaco, + D Colido in A- + B. Exopere mulciplicationis A cubi, + A quadrato in B3. t A in B quadracum 3, + Bcubo, + D Colidoper A- + B. cem longicudinem Soltaum a quadrato laceris secMtet M Coefticientem longieudinem. Fxcollatione ueriusque suppolicionis.