# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0499 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0499?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 250r, page id 00068194:0499 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=499 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000499.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 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. Srrressio Geometrica proxime inferior Nae tantum differentiam hansuasalium primarum e se primarum, sed er secundarum ec. series differenliarum rectarum progussionis reometrieae est etusdem progressionis Geometra transoesatium inveniri sunt summae, sequitur hoc in seriei dtronsocisalis primae quaeritur si ape differentiaru ruisus senes diffccatialis primas et hujus rursus, venietur gandem ad primam quae est aipplicare posse ad Geometriras, unitatum; ubi diffeeuticae sunt o. seu exhaurientuur. Sed si proguessio non sit per t- in puneros, non vemetur unquam adunitates decent usque adde schedarmaca invcudendi stEgorematis 12 12 -0 612 20-12 8 20r 12, 20 1I12, 20 l 3,2030 30+2 7,1 105 10 -60 10s p 5, 21 4F 35,9 360 descendens 2o0 malibes seues per siris terminum suum divi datuo ossen est differ siriee aifferentinrum transue salium Progressionis Geometricae quopositae 12 cent recproci Nummentum comlinatoriorum 60, 105 BN 2, ppinio 140 4a56H6, 281168 16 53 5o22 1C pB1) 36,7 252 senes secunda f habet denominatores exfasta enctu ducrum primorum proximo sris tertia, ex fucta temurioni Mer primo ii terminos dentes seriei secundae red nuani anterer sa primo oivisos, seu ut 32 02. H. 12 1ti VE. A 30