# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0062 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0062?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 31v, page id 00068255:0062 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 32r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=62 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000062.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 recognised, mean confidence 0.67 # 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. Quid si utamur Ervisione inversa incipiendo ab turtio, quia h ut et in aliis catalis calculis. Sed sciendum est hanc solum procedere vidi posse exacte per divi- cum constit n numertis divi deldiu uis numelus potestodee: sorem. Utile hoc in Fenctionibus uae omnes posuntdioidere 14IIIFXX naque enini quil C 2 promoveamus jam puml sinistrorsum, et si detrahere possumus penultimus quotiens erit etiam l, sin minus erit 0. Hoc judicabitur si primus qui ex ipsis nml est 1, non occurrat ante primum qui ex ipsis 1- p, 1-n, 1- m est 1 ex his autem illo est 1, cujus oppositus seu complementalis esto suppono ullimum p se mpur esse 1. sed forte opus Calculum institur sigillatim more solito tam cum sint note dyae qu (m- n) seu diff. inter motre tam cum sint notae dyadicae quadratum aequatur lateri BC- men imn, mnip. Lmup- qu (men, mn p) C= nn +p - 2mup seu diff. in ter nn et p nem disferentia inter productia diff. inter mup et r, et ita porro; liter pacedenlibus oende BC BCd, BCDE, etc. sunt facti differentiarum inte + e (C) = B. t C - 2BC sen dife er BC (D) =BCm + D = 2BCDm seu dff. inter (if. m.n. disf. mn. p) M; diff snmp. Y)) + 1 4 seu D = d d (dsmon) d(mn. p) m idsmmp. Y)) eM E) = Bedm +E - 2 BedEm = d (d em. n) dfum p) il fum p. 1) es pup. i) uraidin r e. . P temn kL11IIC + e De6u . Bi tem n M M 41 temup turan a amnprst temp u amuer amip teBem +Emngrs emupr + imp -mo temmpr +mmp nnp 1n in in tgmps (eis 12 tamner uap emnprse Amnpr Au )- amapri r4 mape eln Hympri u2mp amps emnor 2mnpo 5 ma tomn iun emn 2mn mo +1 mp tms x mo (2. nbp +Emnu enpr vins 2m gmoses unor in +lmp ue map map na Time cini +2np Emnp Eur 2u tom