# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068197:0225 # Permalink to this reading: https://leibnizlegible.com/page/00068197:0225?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a # Folio 113r, page id 00068197:0225 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=225 # Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000225.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine # Lines: 28 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. Ad prop. 15 t. 1. Eucl. Euclides, aut 95as sit qus demonstraois autoz, non recté videtz propositionem hanc demonstraste, cum, postquam angulos AEd DEB, item angulos CEB, et BED duobus rectis aequalos esse dixit. Sic pergit: Cum 1g2 omnes rocti anguli inter sa sint aequales; orunt duo anguli AED, DEB, duobus angulis DEB BEC aequales. Id h. subsumit, quod ab ipso non e pbatum, se angulos AED. DEB, et Alos DEB, BEC osse rectos ou tantum ostenderit, cop duobus rectis esse aequales Johannos Vagetius literis mihi significavit, cam demonstratio nom neque Ca Ramoneque quopiam alio (sibi gdr viso) Eucli- dis castigatore reprehendi, o tn. ab omnibus eod. modo Pponiq Proclum n. et ex Thione Zambertum. Ramu, tran- oiscum Flesates Candall. Nicolaum lartalea, Dasypodiu Ambrosium Rhodium, postquam demonstrarunt, angulos AED DEB; itemque DEB, BCC duobus rectis este aequales, sta tim subjungare: igr A c lavius a- et ex Clavio P. de Mardele, Mathem. Galluis, cum que his Campanus assumunt pterca illud principium, quodd oes anguli recti sint ini se aequales, et contia idem principirem, Cl Partus, rem ad absurdum doducens, coeludit: Angulos duobus rectis aequilis (puta AED, DEB _ DEB, BEC ( esse inaequales angulis duobus ractis aequalitque siidem sc.) si A ED _ C aB po nantus inequales. . literas agetii II Non. Sept in 1652 Hamburgo Guosam ad me missas.