# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0185 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0185?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 93r, page id 00068198:0185 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=185 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000185.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 recognised, mean confidence 0.81 # 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. videamus ergo an assumendo aβZ: c (av. dZ) liceat sic explicare dB, Z V, ut prodeat inde aequalio differentialis data dy: dx = YiX sed vix quicquo proderit, eam ex dβZ. Cdo-d2) potest fieri dβ. cd da et cdZZ potess fieri dis et cdv. Z= dE sit AM, m MB sit n de= Namam + da dn) DC n H Essend B) VA = dl. p VEZ VYC BBeE. Ergo VE. VE = 2E: 2B5 Ego dB = c d fit _ Vst d Ex dBZ: c (dZ- dv) = 0 fit. 5Namam +dnan) VA: du): c (AZ = itom an +lnda)) = C dx dy indx = Xx tyy: aa du An(dmdm + dn ln) = di . ax (Xx+yy) 2+ fet die Dt(duc a ZaN VN : CdufeZ - 11) = sit _ VA = dque Z dy y d dC dZ l C v = dn a n, et fiet posito O=1 =0, c d 1Z- c n’dn e 2, n cy q OC qe dz =dc n du den dn: de e Hinc video etiam nnc nocere etsi uuc pars seu si esset at= n, ro, c et inino demd n rec et 2 jen q quadraeorae an ila res proccederet quolies dZ aequ oator doferentialm valor ratins inter differentales constaret ex duabus partibus una relata ad unam incognitam, altera ad ulterem Esto ergo dn: d7 - - XE nn + ZZ aa Ergo V = dz, - cZ. aa aa euit n = aa et 3= - c2 rin non est in uta prefacere aa et do= du aa: nn = mam + dn dn et curva G) atq adeo iq habemints poqequ eissuque imo a non expriuit solio mobicis porgequ seispu ergo habetur et am non procedum ista, esse 1 e Avia de D. huni s d et pro aque 2 sum pt e 5 te curva BB. Et processus regulae mobili in regula simulus regulae unilus verliginatio Dum ergo evolvitur C. motus aneularis debite inter se regantur, nempe dy et dβ vel VS. idem foret acdiviatur idem foret, etiamsi valor ipsius an mullipliceretur per aliquid formatum factum ex solo, n, vel ex solos, vil ex per productum ex dudeus talibus d lu si esset ani dze = 67 Revera hitir sit ex mero n si placet, modo una fais tantum altera ex duabus protucta a