# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1023099829:0093 # Permalink to this reading: https://leibnizlegible.com/page/1023099829:0093?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 43, page id 1023099829:0093 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=93 # Source image: https://digitale-sammlungen.gwlb.de/content/1023099829/jpgs/default/00000093.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine # Lines: 48 recognised, mean confidence 0.90 # 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. MIVL PIPETOTBNS. ADTeM, BNMeruS expresuS per LicrerAS TV N MI, quarum vlrima N exprimie numerum quemlibee in rnicacum columna collocarum; N, reco, numerum quemliber in denariorum columna; V, numerum quemliber in columna cenrenariorum; T, aurem numerum quemlibet in columna millenariorum, ee sic deinceps in infinirum: ica ve s lirre- ras in numeros connerrere relis, allumere possis locoiptius, M, quem. liber ex nonom primis characteribus verbi gracia 4, loco NI quemli- Dec numerum re 3, loco V quemlibee numerum vE, 5; e locoT, quemliber numerum rr 6; de collocando lingulos illos characteres numericos in propria columna; proue collocare lune liererae quae illos exprimune, proveniet hic numerus, 553 4 divisor aurem A erie nu- merus quilibet re 7. Missis aurem peculiaribus his exemplis generali ecta enunciarione omnia amplectimur. Daro quocumque dinidendo T V N MI, e quocumque dinisore A, agnolcere ex Cola addirione characterum numericorum T, V, NI, M. verum ip(C NUMCrUS T V NM exacte diuidarur per ipsum nume- rum A. Ponaneur seorlim numeri serie nacurali continui 1, 27 3, 4, 5, 6, 7 8, 9, 20, H1, X caer. a dexera ad sinistram (IC. _ CaF. 10 9 8 7 6 5 4 3 2 L _C CAE. R I HI G F F D C B I Tam ipsi primo numero, E Subleribatur rniras. Ex ipla rnicare decies Tumpra, Ceu ex 1o auferatur A quories Aeri Pocerie, et Supersie B qui sub 2 subscribatur. EX B decies Cumpra Peu ex r0 B, auferarur A quoties porerie, de (u- PerHE C qui ipsI Z SubCCribaEUE. Ex 10 C, auterarur A quories porerie de super(ic D qui ip(i 4 sub Teribatur. EX FO D, aUFeTAEE A dC. in continuum. Nunc sumarur rleimus charact er dividendi MI, qui quidem de primus est a dexera ad sinistram, Scribacurque Ccortum Lemel; P rimo enim nu- mero 1 subjacet vnitas. Tam, CumatuE SecunduS ChaTACFeF NY _E EOTIES FEPCTATUF quor Cune rnitaces in B, qui secundo numero subjacet, hoc est mulcipliceeur N per B _ sub MI ponacur productus. Tam Cumacur cerrius character V, ex tories reperatur quorlune vni- caces in C, sub tertio numero subjecto, sen mulciplicerur V Per C de productus (ub primis ponarur. Sic degue mulepLetur quarrus P per D, d Sub aliis scribatur. T il D, est iplius s iupes daeton, ex quoqueipsum numerum Fre S PropOMC Mdendus unicum haberet characterem M EE Sic in infinieum. Dicoptou sanaorum numerorum, M, Y N in B, + V in C; PV NMI, esse einsdem mulciplicem, vel non. 10)A aequ. B 100a fA, 0 -gA aequ. C 1003.. 10. g A10. h Aa1