# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0600 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0600?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 114, page id 79876922X:0600 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=600 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000600.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.86 # 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. DE DIHECTIONA lalisstribus rectis in punetoinci. dentix quomodocungi libitrans. verlalibus se liltar perpendica larem; Superticies, quae capit Lqu hastres reclas, plana crit. Demonstratio formalis. Licet enim dictae rectae non sine perpendi. culares inter se, cum nihilominus crus extans normae prima idem, de secundae tertiaque L. C. omnibus his cribus, perpendiculare lic, Per tirp. promoreatur normae basis circa punctum incidentia, ut circa centrum circuli, per postu- latum aeguitacis: d transibie haec per omnes re- Cias tres ex puncto incidentix progredientes, cure altero AB necquicquam variato. ErsO A recta tribus rectis in communi puncto con- currentibus insistie perpendiculariter; illae eresrecta tunt in uno eodemque plano: cum, si non sic planum, variandum esset extans ctus. Mmod ex inspectione Schematis realis clarius apparet. a Productum 17. Sireclabina binasrectas parallelas dxqualesjungunt; ipla paral. Icla _ aqualestunt. dia lo d