# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0123 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0123?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 75, page id 826603459:0123 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=123 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000123.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 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. t DeNoratione Alcebrica. prie dicti) ex uniracibus constimoneur (rel Calcem a dunica- cem rere rocionem habeant) Clinc rere Hlomogenex (licee For- casse, si denemeris surdie eriam loqui velimur sine lncommen- lurabiles) ideoque vel requales rel inx quales, majores auemi- nores, alii aliis dici polsune, poltuneque inricem addi vel au- Ferri: cux omnia in Cieomerricis magnicudinibus, nili ho. mogeneim, teri non polune. Siguis dicat sEquaciones Algebricas, ubi Cutri, ouadrata, de Lacera comparantur, non de Cubis, ouadraris de Laceribus Geomerricis inctitmi; led de Numeris Cubicis, omadraricis. et Laceralibus; polle aurem Numeros ouadraricos cubicis aliquoc aequales esse: Faceor quidem hoc rerum elles Sed jam de Numeris rederie, (quod nos concendimus,) non de maenicudinibus; erirq; contideratio plane Arichmerica, non Ceomecrica. EA9; numerus Laceralis, cuadracicus, C ubicus, caecerique, nihil aliud quam denominariones graduum (lve Adcendencium sive Delcendencium) primis sccundi, cer- eiis _c. in cerei aliqua proxorcione. Sic in proporcione cripla pradusascendences exhibene Priader, Ternionum criactes, Per- nionum criader criplicacas _c. hoc cst, Radices, Ouadratas Cubos _c. Sienim Ternio radix constiruatme; ternionum irias erit numerus quadracicus, nempe numerus cernarius in se du- ecus; de ternionum irias triplicara numerus cubicus, nemPE n- merus cernarius in lui quacracum ductus, Et sic de cxceris. Acq; has resi nes dedisse lutticiac, cur credam porectares Alsobricas molius per Gradus Arichmericoe, seu numeros concinue proporrionales, quam per dimentiones Gecn: etrican Hecerogeneas explicariposse. Verum cum iamdiu recepea fuerine rocabula, quitus pore. Polekates Races Algebricae ruleo exprimuncur; eadem e mitri non in- Aleebricas, commode edhibenda censeo: cum rocabula arrium Cemel cur antiquis recepea, quamris torre minis exacte rebus apraca, raro. postine nominibus ciem prarius incommodum immurari. Pracerquam enim, adhuc appel- quod h Frequences hujulmodi pro cuiutvis arbierio herene im- landas duoe- muraciones, non moco pluribus quem necesse cA recabulisrim. oncrenda eec memoria, cum _ aneiqua d nora line addiscen- da _ recordanda, uc rarii amhores raria nomenclacura ucen- eer incellixaneur; illud merim groriue eA, quod cadem vo- cabula, vario sentu a rariis usurpaca, contutionem non raco laua