# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0192 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0192?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 96v, page id 00068255:0192 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 98r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=192 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000192.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine # Lines: 66 recognised, mean confidence 0.75 # 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. unter differentia ummascubomm etecontor Sn- n =n -2n +1 4n ego sn-10 H3 (Sn-1 1t PSR 14 l M4 Ont-ep + ionn - 30n = 15n -30r + 15nn = 12n + 30N 20nn γ seu 3u -sun +2 60n3 60n 2 addatur ad nn-1 differentia on lalerum et quahatorem fiat 3n on-Snn conn +2- su 13n- 5nn+2 6013 60 n fit 13n- 60 127 30n + L 30n n sn- 1) ((n-i nn addenda ad Ln - S(- 13) 13 6n ((2-11) 2 sed illud incommodi video quod derendum ne enor potius 1 Crescit quam decrescat, in altioribus potentiis: nam semper divisione facta ascendit ad n Nam in sn- 1 est 1 h in (n-1 est in et in (n- 13 est L n, et in _ Sn= 1 est n. Recuedrum est, ut hocnc ipsam seriem quae rurtus est progressionis Geomellicae priori uamnonicae nempe En = Zn + =n - 1X er adjungamus priori, et siet L - L + L - = et = = n - L n + L n id p n, ex. + reliqua quae decrescunt notabilius, et fiet 1-C - (1+1) (2 - L ++ - = etC) et ita tamen potelimus oltinere quaesitum adest praeterea in summis n citer. nempe 1 aa 2n qant 20p 1 simpli- restant terarini ubi et fit +0= Sa + qn = q videndum quod procedat por sed praestat separatim 1024 4 haberi sumum tatem, et auborum et cgntorum quae est = n-- + . 20 1