# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0034 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0034?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 18, page id 797435492:0034 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=34 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000034.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.93 # 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. P. F C T. II reflectionis leges examussim obserrat. Nam quoniam iloscelis criari. suliZ B6 anguli Z B6, Z6 B sunt aequales, etiam anguli (de rectis relidui) ABF, a6P pares erunt; quod reflectioni proprium est. ltaque non abs resto pronunciant hoc Dioptrici; neque tamen cauland. Forractis ab iispraetermiltam, racere volui, nonnihil ab immediatae re- Rectionis causa direrlam; ne quisquam haesitet, aut hoc adlumenti gravetur concedere. VII. Elac autem doctrina cum multis experimentis necunque com probari queat, unum salcem brerire attingam latis illustre, neminisq. non examini patens. Fstotriangulum A B C sectio prismacis trianou laris xequilateri (nimirum vitrei, seu crystallini) bali parallela; in hu- sus autem bale sumatur punctum quodpiam F, _ (IE angulus CF circiter graduum 50. (unde juxra doctrinam hic insinuatam, _ poltea clarius expeimendam radius F velut extremus cric corum, qui re- Etx BC. e rieri partibus illabentes refractionem parientur; eo scilicet obliquior quilibet refectetur.) Sic igitur (quoniam utramque quali patitur inflectionem) ejus retractus FM, retlexus F F; item PC re- Fringatur in C5O, _ F F in FR. Porro jam in CO Catuatur oculi centrum O; et ab eo prodeat radius OC, qui retringatur in OP. iptorum OC, OO retracti GF, OP (uti secundum principia no- Pra Posthac constabit) progredientes divergent; eritque propterea ang. OPC L OFC; quare radius (YP medium BC penetrabit, ac retringetur, puta in P N; liquebit aurem e dicendis retractos PM, P N a se diversere; Hinc jam radiis M F, NV P interpolicum objectum radiisOC, O Q interjectum apparebit, velur ad ur, situ neutiquam immutatum. Rursus aurem ab oculi disto centro prodeat alter radius OK, cujus refractus (I RI; hic itaque rursum a CF direrget, ac inde exit ang. RIF = ang. C F C; adeoque R L minime penetrabit edium B C, at refectetur, puca in LH; cum l. HL retringatur in IIS. Ergo jam radiis E R, HIS incerjacens objectum puta RS radiis 6, OK incerjectum cernetur, velut ad 5o, litu partium cverto. C onse- quuntur haec doctrinam nostram, ex experientia liquido consentanea deprehendentur, quin ex observatu dignum erit, e duplici retractione spectatum obieetum MEI Tridis coloribus tinctum adparere (rubro scilicet ad us exruleo adr, croceo medium occupante) objecti vero Se duplici retractione, sed refectione tamen intercedente, appre- henli iriasinem so colore nihil ab ipso objecto ditterre. Ouod ex co Tane videtur evenire, quoniam ars. FF B angulo FC, C aequatur. adecique radtius RO non alitex evirro exit, quam R F insrectus est: se Xept. prOB 4