# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0416 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0416?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 208v, page id 00068194:0416 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=416 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000416.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine # Lines: 29 recognised, mean confidence 0.87 # 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. utimur, detet esse utrobique relatio harum rectarum inter se situm idem in utraque linea, vcus sint duo puncta A. B. et duae lineae, scilices recta DC. et cunica Ellipsis CE. Ex quolibet puncto recta du ut D ductae intelligatur ad A. B. rectae DA. DB. e ex quarum relatiore inter se invicem determinetur, natura Curvae lineae DC. Eodem modo exquolibet puncto lineae CE ductae intelligantur ad A. B. rectae A. DB. quarum reratione inter se determinabitur linea E. paret das ipsis AD et AE appellatis y. et ipsis BD et BE appellatis X. f posita esse datam, v.9. aequationem ad curra ina epamam eam X + y aequ. a. Ver aliu exptamam deliu ad curgum DE DC. patet intersectione, v.g. X-a aequ. . quae est ad Hyperbolam; patet tunc intersectione tharum linearum so quomum autem quando hae dae aequationes per ueu valet intersectionem lincam rectam gunt ir c rente