# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0573 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0573?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 287r, page id 00068201:0573 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=573 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000573.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.90 # 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. praevide tionum re assurgentiam aequa toc aliai ostendi fieri ex numero tadicum sit oqo X= + yX f 1q. C09.0 et alia X + dx + C. aegu; 0 Tollendo X ex aequatione priore aepe posterioris ascendet ad ctu y ad 3 gradum quia ex eg. posteriori habet tres valore inserendos ta allemativos inserendos in aniri et exquolibet eorua inveniri potest pror simpliciter. Sin sit X +yyX+C 590. Cy gnaneate posteriori, es ascenderet ad gradum sextum quia exeres sunt ipsio x valores alternativi pe aequationem posteriorem et ex quolibet eorum potest invenin bis per priorem Ergo s sex habet valioaes alternativos. u sed qud si sit XFyX F C0g. 0. et X+ dyX + C aeq.0. itant sit is utrobius posteine patet y ex priore inveniti puoreo posse simpliciler ex posteliore dupliciler ex priore dupliciter ex posseriore tri- pliciter. Si, X potest haberi tripliciter ex dato V. bis per quadratum ipsam. Ergo ex habilo suo quadrato et latere haberi pt sextupliciter similiter X ex habilo suo grada sexto haberi pt dupliciter. Ergo vident assure ere ad gradum 1amim sed non est ita susfici anim hic sextus.