# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0136 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0136?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 130, page id 845634801:0136 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=136 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000136.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.89 # 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. DE EM E NDA FTONE 130 2F A quad. = Bin A2, aequetur Z planO. A = B estO F. ToItE F quad, aequabitur Z planO- + B quad. Consectarium. Ttague Eptaui - B quad. = B Ac A, de qua primum quaerebatuT. Sit BL. Z. planum 20. ALN. 19 - 2N, aequabitur 20. ex sit L N. V 21. F 1. TTI. EFDZ in A = A quad., equetur Z plano. D = F, vel D + E esto A. DEquad, xequabitur D quac. - Z. plano. Consectarium. leaque, D minus, plusre v Dmud. - ZpHMOHIE A, de qua primUM guXTEBATIT. Sit D5. Z planum 20. ALN. ION = L 9, aequatur 20. e fit L N. 5 = V 5, vel 5 + V5. De reductione cuborum simpliciter adsectorum sub quadrato, ad cu- bos simplicirer adfectos sub latere. Formulae tres. EF A CuDUS =F BZUr A quad.; aquetur Z Solido. A + B CAOF, E cvBVS =Bquad. 3 in P, aequabiturZ Tolido -- B cubo2. XC + 6 9, aquatur 1600. est LN 10. 1C = 12N, aequarur 1584. est LN 12. Ad Arithmetica non inconsrue onuetor aliquod superimponitur norisal- teratae radicis, ad difterentiam norarum ejus, de qua primum quaerebatur. II. T A cubuS =B3 in A quad., aequetur Z Colido. A = B CstOF. E cubuS D = B quad. 3 in P, xequabitur Z Colido t B cubo2. 2C - 69, aequerur 400. est 2N10. LC -TZN, aequatur 416. est 1 N8. TTF. ETB3 in A quad. = A cubo, aequetur Z Solido. A = BCAOF. B quad. 3 in F. = F Cubo, aequabitur Z Tolido =B cubo2. V et B - A CAOL. B quad. 3 in F. = F cubo, aequabitur B cub02 -Z Tolido. 279 - 1C, aquerur 972. 8 est LN9, vel 18. 247N = 1 C, aequarur 286. et est L N 2, v el 11 90 - LC, aquerur 28. e est 1N2. 27N = L C; aquatur 26. e est 1N 1. Dereductione cuborum adfectorum tam sub quadrato quam latere, ad cubos adfectos simpliciter sub latere. Formulae septem. TA cubus -F B3 in H Gea. F. D plano in A, aquetur Z loHO. A -+ B CAtoL. EcubuS. L Dm = B quad. 3 in P aequabitur Z. Colido - 1. D plano in 1C = 302 + 336, aquetur 756. e est LN2. 1C. -, 30 N, aquatur 2088. es est 1 H 12. B = B cuDO2.