# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0407 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0407?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 204r, page id 00068198:0407 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=407 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000407.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine # Lines: 51 recognised, mean confidence 0.68 # 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. CX et cy- d(. - X. dxaligad u Y: X fit log. y = X logx seu dy: q dx + logx dx Y = X: ut logus = X logX = dy: y = =X dx + b09X X. ex Floga X. s. et dy- . X x L ZX. X. Ex + logx. X. Xi dx rouX X sin X X a NX sity = f. fit logy X. loqu et dyry -X. dx +. b0g X. P.. H. lx loqu dx et cyssea .- aX c e. x +log. X. X. X. X. dx + loga X Xi ax y = X fit logy = X logx et dy: y = Xdx + loyx dx ay. LX et dy = ZX. X. dX + logx. X dx = d (X V, Y = LX logus = X logx et ay. y= X. dx + = X. logX. X dx + logx X dx et dy= = X. X. dx Y L X log. X. X p: + logX X. X dx= d(XF = X. fit logy - log X et dy.9- 1 X. dxt = logeriX dx et X + Lx logX X ngx et C L+ X X t dy =: 7. _ie + = log. X. X X X: Ax + LX logXX. X. X. + loge X = d (X ++ X 7) X. X = X _ Et X X = X 4 X 1+XtX. X. XV X = X X+1 X 1X .7 e X X X XIX. +X. X X An summari potest _ 1+ X + X + X + Y eIC. iffeculio sumt 12X A(1 - X) X v= X log y = X log. X dy = dy:g 2 X dX e et L.gr= X. X. + tex d(x) logX d =X. logy = X loyx st dy: y - dx dx loyx et Ag- A B et dy = +x, 1 + logX, X = d (X)