# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067970:0085 # Permalink to this reading: https://leibnizlegible.com/page/00067970:0085?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11 # Folio 43r, page id 00067970:0085 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 44v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067970&page=85 # Source image: https://digitale-sammlungen.gwlb.de/content/00067970/jpgs/default/00000085.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.91 # 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. 1Recta est via per duo puncta data ex ipsis datis determinata AB. AB9Y. 3YAB. 3Y AB9Y.. fig. 1 Loco AB scribi etialm potest A6Y B. et loco 3Y6Y9Y scubere sol (2)s A∞ C. B∞ D. Ergo AB ∞ CD. fig. 2 id est inter duo, puncta non nisi unica est recta alioqui enim via haec non est exdatis determinata Hiqee B re a deess AXBCa eoque duas AyB. AB V CD. figu. Qeu recta rectae similis est Nam in modo cum eodem modo ambae determinantur ex duobus scilicet punctis, ubi discrimen notari non potest, nisi collatione (4) si ABp CD. erit ABG CD. fig. 5 Nam AB V CD. (per praeced) jam et veste. (5) AB _ BA. fiu Nam eodem modo ub Nam duo puncta A. B. eodem modo se habent in determinando, nec discrimen rectam inter ipsa Itaque puncto cuicunque e quod refertur ad A. respondet punctum quod eodem modo refertur ad B. quae puncta omnia inter se permutari possunt id est recta inverti potest (65) Duae rectae non possunt habere duo puncta communia, nisi productae quantum s produci possint donec coincidant. frg. 1. fig. 2 fig. 3 ig. 4 g. 5