# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826603459:0217 # Permalink to this reading: https://leibnizlegible.com/page/826603459:0217?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 171, page id 826603459:0217 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=217 # Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000217.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. C AP. 20. Alcebrica e Speciosao dividendi parte prina DC subduxerim, nihil restat. Similiter cum videam 2 C ducendum elte in mn 3B uE Hac 6BC, lcribo in quotience 3B, _ mulciplum (2C X 3B -6BC) ex bBC (uB- ductum nihis relinguit. Denigi cum 2C. ducendum in gC uE hac 8C9, potico in quorience + +C, e lubducto mulciplo (2C X gC =8CC = 8C9) nihil manet. Ec peracta cAt di- vitio, cujus quociens seu quancitas orta =D = 3B + 4C. Si quid aucem, divitione quancum tieri porca continuata, cbpertuerie, quod per dirilorem provoticum dividi non postic, vel etiam Ciica se habent Dividendum ur iptius nulla pars per exposicum dirilorem diridi polie. CEre simplex sc, sire compolita, quancitas dividenda, aur etiam diridens,) re- Ciduum illud collocandum eA supra dirilorem in modum Fra- ctionis (hieur in diritione numerola) d inrento quocienci ad- jungenda. Uc in exlemplorum cam rrxcedencium quam lub. Ecquencium aliquoc ridere est. idla a B) BD +D4 ABE CD 4B DF a+B) DE C A+B 228)52828+42 1 2271 (328+22= 2 + R9) = ARCF + ABRG F CGFR C i AR 4 +AB F 1a 2) 2b a m a aY a = C2b at e Ec quidem pleriqi sire Algebristae sive AnalyAae vix ulcerius Dirisionis Algebricx aut Speciolx rradicionem proseguuntur; Sed quancicarem diridendam dividenei lupraponune, incerjecta lineola; _ (iquam anim adrereane quancitarem qua ucramqe communicer mulciplicareric candem verobius expUneunE: nec alcerius lacasune curiolam Diritionem (praelereim cum divi- Cor ex pluribus parcibus constat) exercere. Verum, eciam cum Dirilor ex pluribus parcibus constiterit, dirisio