# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0780 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0780?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 392v, page id 00068196:0780 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=780 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000780.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 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. at 78 m Z + adque + p = 0 sit Z- yex e ye p + nytede p si duae sint incognitae in aequatione differ Tangentiali, tres autem termini, et in alter utra incognita potentiae non differant nisi unitate habetur solutio. Videamus an cum tales non sunt transformationeitales reddere possimus fit b2L pqua e fiet ret ed, pydx xet edgxe 9d ty Rect Hest ha pediur LXSyodx + (Gerona, eg chrgxyd. des) unt nd tin ngtus qy x ten a tur rg dys Cx Af X 1 x + Ag yddy Et dirisis omnibus per ye d Et divisis omnibus per Y yd quanquam et hoc omit possit, sunt termini sex, videnim an uno eorum reservato quaecunque ut in quo est dx, vert. g. f X F 1yd AX, reliqui quinque, divedi pos constituant duas partes uunam multiplicatam per du, alteram per ex, i in multiplicatit, ut multiplicali per dx habeant eandem potentiam ipsius y, et multiplicati per dy habeant eandem potentiam ipsius u a priore unitate ifferentem; ut ergo multipliculi per Ax habeunt eandem otentidud fiet (et )G +hr mg+ sLr. ob posteriorem quitionem sit egthr+q1 9 maturtr- 1. n dtt o au nm noceder quia solum get t caletum ingreditentur