# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068190:0004 # Permalink to this reading: https://leibnizlegible.com/page/00068190:0004?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 17 # Folio 2v, page id 00068190:0004 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068190&page=4 # Source image: https://digitale-sammlungen.gwlb.de/content/00068190/jpgs/default/00000004.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 21 lines, status machine # Lines: 21 recognised, mean confidence 0.97 # 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. dX significat elementum vel incrementum aut decrementum (momentaneum) ipsius X (continue) crescentis aut de crescentis. Si militer dy d(xy) significat tale etementum Vocatur et differentia, nempe inter duas X, (inassignabiliter seu elementariter differentes, dum una fit ex altera (momentanee) crescente aut decrescente.. Similiter d(xy) est tale elementum quantitatis xy continue crescentis ddx est dif elementum elementi seu differentia differentiarum nam ipsa quantitas dx non semper constans est, sed plerumque rursus (continue) crescit aut decrescit. Et similiter procedi potest ad a dddx seu dX, et ita porro. Imo potest occurrere de X, exponens differentiae indeterminatus contrarium ipsius Elementi est, vel differentiae est summa, quoniam quantitate continue decrescente donec evanescat, prima ejus quantitas ipsa est semper summa omnium differentiarum sequentium ut adeo sex i fax idem quod X, similiter d sxdus idem est sit Dantur et sammae summarum, velut itaque (xdu significataggregatum ex omnibus rectangulis, quorum quod xdy. cujus libet altitudo est X aliqs congitudo est X aliqua, et latitudo elementaris est du ipsi X ordinatim respondens. Dantur et summae summarum et ita porro, ut si sit Sdx saedy. vel f(dZ xdus