# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0117 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0117?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 59r, page id 00068198:0117 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=117 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000117.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.77 # 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. sadx (dx = y es de y adx (dx aay-xdy = a (Ax X a XI dy seu (a-X) ay = a sdx ax siet addue - Xddy =dydR3: dx = a Ax: X en 1. aga - - a loy X XX RoyX +d a- x dy = ax sdx = deo Ia -x) ayiax C -e X = b xddus - exdy =0 et ddx (dx + dx de = dx : X s +t VVda dx: X seu log dx = stoglogXH et sit dax ax et logtus logX et du ex + ddu = 0 dex deo. dx +dX ix 20 ax deo + dxdx logx X ay e ploglio seu log X + logdy tiu si du = cox logC:X) loge - logdy = logA ubi B ostans seu βatsdx. X = l dy seu denique s=og logx sed hoc pulo male. Nam sax sax foret log =y sex fax = quae devent differentiandie d 4 d (sec. b) (dx Cdx) = -d b sax s logC log (Cidy)= logx est autem C = βdeo estnomen sit Bduvidu = X :a. sex(dx:X daret y = log. logX b+x secundum b ciet -db sex = db bx + op db in sx diff. sec. b dat ∞ab 1+ dx d(sec. bF) bX = db sa 2V64X oe