# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0026 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0026?run=74 # Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0) # Folio 10, page id 797435492:0026 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=26 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000026.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.92 # 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. a dios diverto medio oblique incidentes, velur experimur, inflecti; fal- tem eo spectantia lucis praecipua sympromata, tribus porro subjiciendis hiypochelibus compreliensa, rix aliâ ratione commodius explicari. XI. 4. Omnis radii lucidi inflectio (hoc subinde generali nomine. compendiicausa, cam refractionem, quam reftectionem complector) tic in superticie ad medii inflectentis superticiem perpendiculari, seu recta. Fhujusce suppolitionis haud ullam Facile latis commodam et claram rarionem reperias apud Opricos; pecitione principii, vel in- comprehenlibili quadam obscuritate laborat quicquid terme eo spectans atterunt; neque ralde miror radium lucis semper ut rectam concipien tibus individuam lineam id eis accidille; quo polico rix probam ullaim ejusce rei cansam altionari posse credo. Cadat enim radius lincaris AB in speculi (instantix gratia) plani sux exticiem ad punctum B; Per GuOd VECINGNE duCanTuF dIIX RECtX C D, E F; cum igitue rectae A B. CD sinc in uno quodam plano, quidni reflectio radii perassatur in ilto plano? Similiratione quoniam recte AB, P F sune in uno plano. quidni radius in hoc erium refectionem pariutur? Codemque plane modo quid obstat quo minus in lingulis omnibus, hoc est infinitis planis, speculi superticiem secantibus, _ per rectam AB ceu com munem sectionem traductis perticiatur reflectio, idemque proinde ra- dius unus in partes undique cunctas reflexus dispersatur? cur hoc fieri non possit, utiquenon capio. Ouod respondetur enim, polito plano ABC ad speculi superticiem recto magis illud planum, quam Cxtera quaeris speculi superficiei contrarium essle, proinde relistentiam in eomaximam continsere, proptereaque radium in eo porilimum in- Aecti, Pariu Patistacie; quoniam, uc Cuperius insinuatum, extra punctum iplum B, cui radius impinsir, alia nulla specularis superticici pars meriro venit consideranda quid enim. (ut hoc adjiciam pradictis an in unirerlam qua lonse laceque distenditur, iplius speculi superti- ciem asir hic lincaris radius, _ ab ea vicissim pacitur; an in ejus desi- nitam aliquam partem agit, patiturque ab hac: Quis in FOram agere. vel a tora pati concedet? Ec cur id uni parti depurandum prae aliis ubi terminis figetur ? quousque proceder operatio: quinimo porius, quia radii per rectam A B procurrentis impultui rancum id speculi quod est in recta A B verlus C protracta relistir, ideo pullus in iptam AB rejicietur; Et nulla succurrie caula Pontica, proprer quam aliortum deflectat: nihil datur, quod ejus cendentiani alio determinet. Igieur ut aliis, guxe puto rarixe altignantur, hujus effecti causis excuciendis abscineam, inde genuinam ejuleerationem (u ec generatim omrium G1IX