# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067974:0040 # Permalink to this reading: https://leibnizlegible.com/page/00067974:0040?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 13 # Folio 20v, page id 00067974:0040 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067974&page=40 # Source image: https://digitale-sammlungen.gwlb.de/content/00067974/jpgs/default/00000040.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 18 lines, status machine # Lines: 18 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. omne punctum in recta est sui ad duo rectae puncta situs unicum. itaque si datur punctum sui situs unicum e ad puncta A et B, deb et esse in rectck per A, B. per duo data puncta posse duci rectam postulatum est quod deberet monstrari Posits quae supra potest sumi punctum E tate, ut sit A. E~ B. E erit etia ACFB. Nec tantum erit a E. A. B~ F. A. B sed et E A. Ba unde fet F. A. B ~~ C. A. B ~ E B. AV id adne ert. ita component pune t equilaterum quadriantutum quod si paeterea sit A. E. F~ E. A. B prodibit quadratum perfectum