# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0360 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0360?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 182v, page id 00068196:0360 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=360 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000360.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine # Lines: 59 recognised, mean confidence 0.78 # 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. d, X log. Cd = X. ded: c0 C- +log. (0. V. X: dx + log. Cd. X. logr. dv p-1 faciamus: X ded:co + log. C. V. X : x = 0 seu ded: Co loguo =- vdx: X Ergo quomodocunque codetur ex X, dabitur v, ut summari queat log. 10. X logx du. Sinfaciamus s X . X dur: c + logued Xe logu doc Sed tamen si detur V et cogcd vocetur Z. fiet leg+ = s- van: sin faciamus ut summari queat X logco. log. X du. Si o si logcd. logX = 1 fiet diso l d: W0 logx + dx: X log o = 0 seu ded: d logX ∞ + dx: Xlogx =0 ergo ut summari queat X. do hac methodoc cum sit etiam deo: c0 + logue. vdx: X =0, utique fiet = dx: (X. logr) = v dx: (x log. X) =0 9.7 ligo X. logsIiX sive ssx 1 . seu v = - l0g X log1:X = log. l: X de = X. log. T: X Sin faciamus X dao: 0 + logco. X logx do 20, fiet L oall. X afi.X) log. X (dx: X) = ts X. Ergo 1: logx X log (1. X) seu I.X. ax: X) -de. X to fI. X) flogx) , log (1.X) 1X = X : log. X Possamus et facere X deo: a + log. co. X. log. X dv =0 fit da: 0:logco = = log. X dv seu log. logc = - (logx dv Ergo log co = num. (- flog. X dv) et proinde fiet . (num (= flogx de). V. X. dx) = X. num. (- slog. X dv) si esset num (- slog. X dv) = 1: v fieret flog X av = - logv ergo Xdo log. X dv = dv: v. seu V = 1: logX x :X, et dabit q (i logX)) Ergo summan poterit XI: logx sid hoc per se palebat, quia : logat respantu la t vax oyx t logu Edgo d fiat logius et logx: bogX =i Ergo sequitur fit Jogy = logX: logx =1 quantitas constans. Ergo nil lucrati sumus inder sugno