# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0169 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0169?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 105, page id 797435492:0169 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=169 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000169.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine # Lines: 41 recognised, mean confidence 0.94 # 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. l E C Y.. XV. id quadantenus hoc modo pertentanres atringetis. Oculi cenerum (quale dari passim supponitue, ei salteni analogum quid dari videcur; nec inde, quoad illam, quae pra manibus rem, erroris quicquam provenier) oculi centrum, inquam, ubicunque pro libitu constitu- cum ceu punctum radians corcipiatur; tum ex eo duo prodeuntes radii ad provolitam superticiem (eo quem hujus exigit natura vel pro- prieras specialis modo) inflectantur. cum inter hos intlexos colloca- tum incellicatur objectum; ejus certe species inter duos primos ab oculi centro procedentes radios consictet, quae cum ipro (quond ap- parencem anguli quancicarem, punctorum correspondencium positionem, ex reliquas affectiones) objecto comparata roci compotes rosreddet; _c id quidem perfectius, si exrremorum ac mediorum, pralerrim objecti punctorum jultas imagines, ex doctrina hactenus tradita: velicis investisare. ab appolitis exemplis res manifestior eradet; in quibusnotetur punctum O semper oculi centrum, rectam OB A r2- diarionis axem (superticiebus intleetentibus perpendicularem, ec objecta in partes xquales dirimentem) denotare. Exemp. I. Preponatur Superficies plana medii refringentis den- F18. 169. foris (aquae siplacet, aut virri) objectum continentis, reluti Super- fcies a recta MNPrepraesentata. _ ab oculi centro O prodeant urcun- que duo radii OM, ON; qui in MF, HCiretringantur; inter tos jam designetur objectum LiAC, (ab axe O A bilectum) hujus e medio FCM N spectati species (vel apparencia) alicubi consistet inter rectas OM, O NI, veluri puta ad p a v. cum autem (uE ex hu- jusce superticiei natura, communique refractionum lese palam est) sit angulus e Oq major angulo FOC; haec objecti speciem ampli- ticar infectio. irem cum puneta (sibi respondentia) F, 8; _ 6, y ad ealdem respectire partesjaceant, ab eadem objecti posito non immu- catur. quod si punctorum e, a, y policio jurca luperiorem doctrinam Strictius exquiratur, de corius imaginis pa r figura distantiaque laris accuratum Feretur judicium. Exemp. II. PropOvAtHr corpuS densum PMHIC. Superficiebus L1B. 176. planis paralbelis (M NI, P (2) comprehensum; e ab oculi CenErOO prodcunces radii OM, O NTad superficiem M N retringantur in MP, NO; horum vero ad Superficiem P O retracti (InE P F, OC (qui, propter incidentias (ad MI, P, _ N, () pares, ipsisOM, ON aequidictabunc) inter P F, OC. Caruatur objectum E AC, cujas sic imaso par; cum vero manifectum est hic se rem limilicer habere ac in tisemplo praecedenei. Exemp.