# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067964:0061 # Permalink to this reading: https://leibnizlegible.com/page/00067964:0061?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 5 # Folio 31r, page id 00067964:0061 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067964&page=61 # Source image: https://digitale-sammlungen.gwlb.de/content/00067964/jpgs/default/00000061.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.96 # 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. Linea recta est cujus omnia puncta sumtum ad unum in ea, eodem moto se habent seu cujus puncta e ex uno sunt indiscer nibilia nisi per praes compraesentiam, et A B ita puncta B et C eodem modo se habent ad punctam A. neque discerni possunt nisi simul amtio considerentur Hinc tanquam corollarium sequitur unum quodque rectae punctum pro uno illo assumi posse ad quod caetem omnia eodem modo se habent, alioqui si quaedam possent, quaedam non possent, eo ipso possent discerni. planum est cujus omnia puncta superficies quae si indefinite continuata, intelligatur omnia ejus puncta ad unum quodque in ea assumtum eodem modo se habent unde sequitur rectam lineam ubique plano applicari posse circum ferentia Cient est linea cujus omnia puncta ad unum extra ipsam sumtum, eodem modo se habent. Ubi notandum est integram lineam rectam dari, ad quan omnia circum ferentiae puncta eodem modo e habent.