# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0164 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0164?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 82v, page id 00068199:0164 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=164 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000164.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 75 lines, status machine # Lines: 75 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. 2 iucidit hic novim gulela vel aps, vel y vel a y facta ponatur 1 sy- Lax yy rinum in ventam ut vel aequalis senca adefiatae M ∞ + n X X + p X 92 LaXX 2 X et saper summando etiam conposita 20 V.g. si debeamus scmmari Xyte jam jadandevavi ita simpuncer procedere usi omnia expriatere possis per X y panatur vel etiam sergunta LXX + 1 nX + L XX = + 2lmX + 2In XX + 2lB X + 29X + um 2mn 2mp.. nn t ita xet con anse no licet misceam tamen e siocedet a utum 2nb mle in comparatione instituta =0. et quidem si abesset a, seu esset a =6. liveret omnes es quantitates aequales Rihulo ponere servata tota litera A, et foret n = cet 1: 12b seu _ = Xx si b=1: 12 ut supra. Sed quia ob onqu impositum devet et conervari s et fieri M= V a: b, hinc eadem methodo insistento feliciter evenit, ut omnes literae possint ponl aequales nihilo praeter M et n. Namper X3sit n = 1: 12b. et per L rursus feliciter sit n = 1. 12b. adeque sit ubincem a exVa: 2b + XX: 126 Ubi summe potandum problema esse determinate solulum e Ae nam exaequationes ipsius vi etiam invitis nobis, omnes aliae literae, ut L, P, q Y, _C fiunt nihilo aequales, quia eo ipso dum HEMN M: 6)fit n= 1: 12b. quo substituto in aequa tione; n: 12) = 2 mp + un fit P~0 un. pamporro quo 420, XC. Ergo nulla alia duciu curva succedere potest neque abgebraicaneque transcendens, ea enim semper posset expro mi per aequationem illam generalem y- l+ mx et Et sant videtur aequatio ebiro data: Ny+axx = byis eo ipso reddita esse determinata, quod fucta est summatoria epps t e in Res sema aet quand oline linca quo es tu