# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/727094130:0049 # Permalink to this reading: https://leibnizlegible.com/page/727094130:0049?run=74 # Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94) # Folio 37, page id 727094130:0049 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=49 # Source image: https://digitale-sammlungen.gwlb.de/content/727094130/jpgs/default/00000049.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.89 # 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. une, Manifeltum est in Dioprricis, Conoideon, et Sphxroideon porriunculas, ica in lentibus connexas esse; uc axis lentis (IC CO- munis axis urriusq; porriunculae, et verrices leneis porriuncularum Vertices. Manifestum 2. Secundo, Manifectum est in omnibus horum problemarum reso. lucionibus Diopericis, e Corollariis; radios extra lenrem vel pa- rallelos, vel ad unum punctum convergences, vel ab unico puncto divergentes; intra lenrem semper ese parallelo5. PIO 0 26. Theorema. Si duo Radii, in eodem enm axe plano, incidant in speculi verticem, ex ab ea reflectanur; erit anculus a radiis incidentibus, aequalis angulo aradiis repereussis. Inc duo racii BM, CM, in eonem cum axe plano, incidences, inspeculi RM L, verricem M, e reflectentur in C, e P: Dico angulum B M C, a radiis incidencibus comprehentum, esle aequalem an BulOPMC, a 2d radiis resteris comprehento. Sic speculi axis AM, e quo Diam BMI, C M, Pune in eo- dem cum axe Plano, cricillis ura, ee Cadem Superkcies re- Aectionis, F- Gura nempe RMC, ex cujuS revolucione henirum est (0. RH)S. veculum: