# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1023099829:0092 # Permalink to this reading: https://leibnizlegible.com/page/1023099829:0092?run=74 # Title: [Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere (shelfmark Nm-A 605) # Folio 42, page id 1023099829:0092 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=92 # Source image: https://digitale-sammlungen.gwlb.de/content/1023099829/jpgs/default/00000092.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.83 # 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. E NVM F RIS 3 e es e oeorbeloa Cdoreoto E Lx Losa Chalaclelus Maericorum addicione addo inveni MOX TV M. IL Ctirius ec apud arichmericos, quam numeros, nume- ylciplices, constare characteribus, quorum aggre- uu quoque ipsius o mulciplex. Si enim ip(IuS V. 8. upli, 18, Cllaracteres numericos, I, F 8, jungas, aggrc- sacum erir g. Ued ve ex Tola additione characterum nume- ricotum numeri cujuse, liccaragnolcere, verum sic ipsius 9 mulei- PleX. V. 8. I Mstetl, 1)19 Characteres numericos junsas, r f 7 f 1 79, agoregacum 18 est iplius o mulciplex, unde cerro colligirur, ex iplum 1729 eiuldem 9 esse mulciplicem, vulgara lane illa obseruario est, ve- rum eius demonstratio a nemine quod sciam dara est, nec iplanorio vi- reriiis pronecta. In hoc aurem Fractaculo non solum istius sed ee va- riarum aliarum ob servarionum generalissimam demonstrarionem dedi- ac methodum rniversalem aonoscendi ex (ola addirione characterum numericorum propoliri cujuluis numeri, verum ille sic alcerius propo- Sici numeri mulciplex; F.c non Polum in proorestione denaria, qu’a nu- merario nostra procedic, (denaria enim ex insticuro hominUM, nON eX necessitare narurae re rulous arbieratur) de Pane laris inepre polira est. Sed in quacunque progressione insticuatur numerario, non faller hie eradica methodus, re in paucis mox videbirur paginis. Propositio unica. Aonolcere ex Cola addirione characterum dari cujussibet numeri, an ipse sic alcerius dari numeri mulciplex. Vr haec Colurio hac generalis, licreris vremur vice numerorum. Sie ergo dinisor, numerus quiliber exprestus per lirreram A; diuidendus