# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0241 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0241?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 121r, page id 00068199:0241 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=241 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000241.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 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. si pro X: a sumas S+X: X et pro y: a sumas dz: v fint x dyidx = Z: V Malores substitu endo in aequave duta habemus has tres rationes Hanc aeq. diferentiando tollatur saz: V, et Eabitur, dv: dZe, v: Z, et sdz: 4 sed nihilo tunc melius res se habebit d, X sxdy = Xxdy + dxsedy dysedus = ex sxdu = (xxdy du sydx = y Sydx - syydx y = Sextbxx+ ) ex d. Ny dx = xyax + dx sydx dxsydx = X sydx - (Xydx d. Z Sydx = Zydx + dz sydx dques e ydx = Z Sydx - dx sytx sit 7= sax: a et y = Pab + Cx + XX yy 2 XXvD + 2 2abxv + aabb: aa seu = bb + Cx + XX et fiet X∞V +2abV = aac + aax seu X = 2ab aac - 2ab:, vr - aa et y = XV + ab,: a a V = 1+X. 1aq. + + XX ar+ XX ar+ XX aqta +XX +X = VxV ax - VGX +XX 1ab + xx ab + gXX a qu + ab + hXX = aer: fit aab + ahXY = ab y+ quxy ab +gxx a et XF aab = ab y,: an -buq ax = (ah -y9) abdy f (aab - abus) gdy ah - 99) 2 H(atbuabus,:, ah - y9)