# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0595 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0595?run=74 # Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65) # Folio 109, page id 79876922X:0595 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=595 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000595.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.85 # 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. Ua d8 WM ton n AF COLLINEATIONE. Demonstratio mixta. AIFeIm C.FB i CIFA, 2. rectis, temque DFA F CiF A- 2 rectis: lubtr. comune erit DF A. s: Ci F B. Per noule ervotar. Scholion. Demonstratiomere formalis esse potest hac: Cioncipiatur C. D. Coincidere cum AB. _ manen- ce fixo peneto communi Fi. Vertione Facta cir- Ca id diraricari inter sc; Patebit anteriorem partem cractus recti C F. tantundem velut a8 Cursendo divergere ab FB. ac pars posterior FD. Quasi descendendo dirersit ab FA. Conti MIIC. BZ.. F. D. Condictamen. I. Si ad aliquam rectam, atque ad ejus pun- ctum idem, due recta non ad easdem partos sumtae anculos ad verticem aqua- les fecerint; ipsa rectae in directum sibi nvicem sitae erunt. Condiet. II. Si 4. rectae, ab uno puncto exeuntes, angulos oppositos ad verticem aequales inter se fecerint; crunt quaelibet duae rectae sibi respondentes in directum posit a Produerum IV. Si dux recta diversentes AB. AC. duaS des