# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067976:0208 # Permalink to this reading: https://leibnizlegible.com/page/00067976:0208?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 14 # Folio 104v, page id 00067976:0208 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 105r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067976&page=208 # Source image: https://digitale-sammlungen.gwlb.de/content/00067976/jpgs/default/00000208.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 21 lines, status machine # Lines: 21 recognised, mean confidence 0.95 # 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. is locus est linea recta. Et cum ex duobus punctis assumtis determinata sit haec recta, in quam illa ipsa puncta cadant, patat vicissim quibusanque duobus in recta punctis assumtis caetera omnia esse determinata. Patet et hinc rectam omnem rectae similem esse cum ex modo determiranti nulla appareat diversitas; cu et si duo puncta congruant coincidant uno rectas coincidere. Itaque duae rectae non nisi in duolus se punctos secare possunt, nec possunt haber segmentum commune. At circuli se secare possunt in duobus punctis non tamen in plaribus. itaque non nisi duo dantuo puncta in plano ad rectam vel duo puncta data sese habentia eodem modo. Hinc etiam videtur ostendi posse omnia puncta in recta esse sin ad rectam situs unica semper enim punctum Imni polerit quod eadem in plano quod, sit eodem modo si non est situs sui ergo bis seu in duabus partibus ploni habebimus ergo tria sollem puncta ejusdem situs nu in recta, altem reliqua extra tecta. sed absurdum est puncia in recta et extra rectum ejusdem ec situs ud rectam duo mircam propositiones recta esse locm punctorum sui ad data puncta situs unicorum, et mobile vi in p quod in plano est, in eo esse mobile uno puncto quescente; seu dari circuli circum ferentiam.