# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0043 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0043?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 22r, page id 00068198:0043 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=43 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000043.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine # Lines: 64 recognised, mean confidence 0.74 # 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. aet X+ d) (ult. Z+ d Z) - prim H. prom. Z = Idus + ydz + dydz) ortet autem et) simul crelcere tx eit y = X et Z = sdx. fit sult X +dx) (ult sax + dx) - prim. X. prim S dx sx F X Y (dXdx. pom autim potest X constans ( vax =XsBX (X vdx. Ergo si VZ fret A , X) = sdzsVdx + (xVdx = X svax n .1 + 1, 2 + 3. 3 aa c (x: h) log(b: 4 = (09 (in + Ho -X)) in + conx + a b = r do = de V = dx B v = AX FCF b + CX + dxx + ex et oc b = 2W - 2X 1.2 (43)+ (4 2) (4-2) n (4 C) daaram, sed quia variata net 2d prodit idem A, hinc videtur na 2W D 2X. rum aa S-1) A B(3 bitur W 1. 23 6 = mn -(Wro 2WOX + XY) aa + loge(m = (10 -X) e: d. Ergo B - b + bx+ b Xx + b X 1. 2.3 s e origi aequio nova lunt do = 2. C + 2dX + 3CXX = B = c = b d =c b + bX + b XX + b X c Et fint A a + 2) 5(+ +2 15 + 1) ( - 1-1 - 1 -1 = b: a = nm - loco - 2WX + ∞) mni L LX: h = (X iH) X logb. a) et differentiando frit Ex a 4 2 102o - 215X eXV ax olo 1yy = 2 a X. 1 mm - yy = qu (W0- X) um datur AP, sed Wdm sed mn - 2aX = qu (2 - X) L prot differentia id 20g (b: a): k