# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0210 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0210?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 164, page id 826603459:0210 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=210 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000210.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 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. De Mulriplicarione e Divisione CAP. 20 ausere vel diminuere. Adeo ur non Ec necesse diutius hic im- morari. Hanc lalcemunivertalem (ex Oupheredo) regulam adjice- uoriense re liceat, (quae in numeris Divitione Ortis luos allignando lo- cosdirisac,) Index cujusque parricularis fieurae Duorientis invenitur tollendo indicem fieurae dividentis ex indice fieurae divisae. Oux qui dem exiis qua de Indice numeri Facti in Malciplicatione di- cta lunc, Pacis incellisi porerit, uc prolixa expotitione non se OpU8. Viritio speciola, simul cum Speciola Mulciplicatione, mox eradetur. 164 De Indice CAP. XZ De Mulriplicatione Divisione Algebrica Speciosa: Et guan iiarum ex pluribus denominationibus constontium: Parumge ad unam aliquam reductione. melicario cuc Addicionis signum + Fecimuo, de Subductionis -: 112 Divisie Mulciplicacionis signum ektox; Dirisionis autem, lineola in- simericium cer quancitarem Diridendam e Diridencem (ips Cubjectam) ona Eipca. Adeog; honiticat V + A quancitari V quanticarem A adjeccam esse: V - A quancicari V quancitarem A abla- tam esse: VX A quancitarem Vin quancicarem A ductam: 8 a quantitatem V quancicate A Divilam, sire ad quantitarem A applicatam. Noca tamen Mulciplicationis Genum X, Cpraesereim ubi Specles quae libet unica nocd detignatur) Caepissime omicti: (cum illud nempe sine ullo incommodo heri pollic:) Sic verbi gra- Eia AB PrOAXB, _ ABC PrO AXBXC, _ 2AB C. PrO _ XRXBXC Monendum icem eA (ur de Addicione de Subductione, quip. de operacionibus oppolicis, (ic etiam) de Mulciplicarione de Diritione: Nempe siptures occurrant vel mulsiplicationes, vel divist- ones, vel pariim hae parrim illa, continue facienda, Perinde est quo ordine perficin