# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068241:0048 # Permalink to this reading: https://leibnizlegible.com/page/00068241:0048?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28 # Folio 24v, page id 00068241:0048 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068241&page=48 # Source image: https://digitale-sammlungen.gwlb.de/content/00068241/jpgs/default/00000048.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine # Lines: 58 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. demedium in mentem venit per elegans, sumatur aliqua aequatio occulte dentica, eaque prout opus multiplicata huic propositae, ita addatur ut tollantur termini, qui nullos habent respondentes reliquis. Et ita semper hac arte effici potent aequatio quaesita. sed et sumamus hanc ipsam aequationem productam eamque quadrem intrelevenus utrobique vel etiam utrobique in datam aliquam C Linitam vel infinitam multiplicem inde addem a -by X + by + Cy = 2c. = 2d Huddemque indiscriminatim quavis anthmelica serie ulitur ad differentias investigandas +by + cy 4d + x+ fx ae - eby + be Ergo ep Res Sin s .. Afay bf + bf + X X da 2 a by f 2by 4 2acy s ∞-445.. Zad. by 3df = 2bc +4c +cey 3dey 2cf sic non procedit melius forte emationem a 212 + 4bc +6bd ut: a bc Eb +12 cd Aae = ebu tebys +ecy =ue. = 3ed. ert ep. a. sed non sucedit in se cundo termino terminum. et secundus dabit b + =2Ab +10 seu fO. Et tertius telminus dabit: (=ba) +2Ca (= b) +3 ab - ac (+ b). Ergo b C seu cr 2b e I addatur hec equam ad pauloante multipli catam fiet ex -a. ob primum