# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068199:0154 # Permalink to this reading: https://leibnizlegible.com/page/00068199:0154?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c # Folio 77v, page id 00068199:0154 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=154 # Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000154.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 24 lines, status machine # Lines: 24 recognised, mean confidence 0.84 # 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. tam hyperbolae. quam ejus summatuci logarithmice in uno puncto non occurnt nsi KC V= txxtax, habet duas radices, quia VxX + ax duas radices habet seu recta cujus aequatio localis v=a, hyperbolam areoque X ejus quadvatricem secat in duobus punctis idemus est in caeberis. Hi Adeoque hinc datur utcunque res sit implicata Hincjam datur et via resolvene defruendi radiles exitus, formulatum transcendentium exponentalium ex gu e seu g= x nam fil X logX =log. y dy:y = logx dx logx + dx. sed 1 a xt sd y tot habel radices, quot 1: y ergo tot quol logX + 1 seu tol du quol log. log X. id est col quol sax, id est ot quot l. X id est non nisi unam.