# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0122 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0122?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 61v, page id 00067993:0122 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=122 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000122.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 65 lines, status machine # Lines: 65 recognised, mean confidence 0.86 # 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. simma m n seres A b c id iis diff. 1, a diff. 2 diff. 3 diff. 4. 99) N s baqu. d quae latur relatio inter a et a eadem quae inter a et N, et inter X et A. quod si series ista continuari potest, eadem quoque relatio erit inter let a sit, des adeoque haberi poterit l. d aequ a - b Naqu a - b - b +c sua seu a - 2b +c et A aequ a = 3b + 3C = d et Laego a - +b +6c - 4d + C ruisus X aequ l- 2m +W X aeq. l - 3m + 3n = A aequ l- qm + 6n 40 + p) Datum ergo X ex a, b, et β ex a, b, e Jam b datur ex a, ergo a datur exa simililter β datur ex a, b, e Datur X ex a, b, et b ex a, ergo datur X ex a, ergo B. vicissim a ex _ . quem Rursus datur admodum ( ex b, et V ex c, et ita porro Eodem modo potest N inveniri ex L. sed non est eadem relatio a ad a aigue quae N ad d. laet 1 verum si inveniri posset relatio aliqua communis serici et seriei differen- tialis, itita ut esset C ex a, b ut Verai tunc quicquid est ista sola pro proprietate duci tohugachtisrre borite posset de serre posset et duci ex servei differentiali idq l-m aeg. a M - n ae g. b letest est mantaequ. VL +1 + L +4 tum lum Habetur eg R ex M et C. habetur sed nihil hinc ad seriem summatricem investigandam ex differentiali, is novam ad huc lersueue none qud i uc 41 42 +4