# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0465 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0465?run=74 # Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1) # Folio 19, page id 826603459:0465 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=465 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000465.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.87 # 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. DEDTEATIO e) ad hanc FOrmaM AC = B9A = = DC, vel ad hanc reduci AC F B9A L L DC. Hujulmodi rerocso AEquaciones Cubicas; ad00q; Coluru dif- ficiliores, memini moolim conacum (exereicii gracis, portu quam Analyeices rudimenta imbiberim) ad guadearicas reduce. re. Idque hac methodo. POCEIS Z = A + B. A = AF, 7 = A C+ F C. ErIEs ZC = ACt ECFZAAE +3AEF = Z F3AZ. Adeogi Z C on 3 L Z. Item POsEIs = A = B. Z L AC m FC. ErIE XC = AC _ E C n 3AAF L3AEF I Z r. 3 A X. adeog; X c F 3F X = X. In sEguacionibus itaque cubicis ad hanc Formam consiturie, ZC 3AZ in T, animadrercebam, sEquationis redicem Z, esse summam duarum quansitatum AP. guarum rechangulum A (ter- ria pars cdefficientis intermedii termini, )es cuborum aepreeatum Z, ter minus absolurus. Icem, in Aquationibus C ubicis ad hanc Formam concicuris. XC+ 3 A. X = X; est aequarionis radia X, duarum quanditatum dif- ferentia, quarum rectanculum est A Cterria pars coefficientis:) cuborum differentia. Z, terminus absoluus. Adeoq; redacta cA illarum Aquacionum difficulcas, ad hoc problema; Daris duarum quantitarum. uum Rectangulo. ium Culorum summâ vel differentiâ ipsarum guantitarum vel summam vel differentiam aut ipsas etiam quantitares investigare. OW:.. + Si= ∞ ACIEUE A A C EA A =B. AC LEC. A C E. B0 ACF AC L AC+F C= T. EF ACCF AE C Z AC. Sire ZAC ACC = A. C. A. C BIILILeE F = A. FC = AC Adeoque