# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/79876922X:0058 # Permalink to this reading: https://leibnizlegible.com/page/79876922X:0058?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 14, page id 79876922X:0058 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=58 # Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000058.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 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. Prodromus. licarum diversarum Ratio est qualicas de liabieus do qualitatum qua iplamet est respectira qua licas (idemcicus nimirum aut Diversicas Forma- liS. Nisi quod simplicium Directionum externa- rum Differenia, divertis ex eodem puncto l- neis rectâ versentibus, de ad dirertas plasas recticudine lua directis intercedens, certis a pertura de diraricationis gradibus sit allisata, qui, neclinea nec superticies partesre excensi ve detinita tune, sed gradus versionis intinita rectae (nam Directio in infinitum recta tendic) qua una ab altera recedit, ex eodem puncto versens in transvertum. Ouxe Vergentia com mensurabilis est circulo eantum transvertim, incommensurabilis in lonsum rectis radiis de- finitum. Nam versentia cum parcialistum to calis (nempe plenae Circuitionis) radius est in- finitus, unde ipsa infinica redditur eatenus; sed circuli cujuoris radius finicus est, circum- terentix objectu definitus. Graduum ipsorum tamen Computatio cum Computatione nume xorumfere prortus convenie, hoc unico exce Pto, quod praedictae rumerorum (ut absoluto- rum) Differentix addendo crescane et auseri poslint etiam in infinicum; Cirado vero differen. lix Directionum ex eodem termino divarican tium (ucrespectiri numeri) saltem ad plenam circuitionem q. rectis (ecce Maximum in Mun- do incer res finitas, quo revera majus esse ne- Quit 9t U 210) U I lue M2