# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0079 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0079?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 47, page id 797435492:0079 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=79 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000079.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.91 # 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 A Blolutis iis, quae radiis accidunt ad planam superficiem in LaAexis (obserratu quae videbantur non indigna, cumque prin- cipuis nostris coheerentia; gux denuo viam sternebane, aut metho- dum aperiebane sequentibus) ad curras jam gradum promoremus; circa quas equidem covicaram communia quaedam delibare; verim exculla re, tam exilem illam ex abstractam deprehendo, Patius ut existimem accurum ad particularia descendere. curvarum urique prin- cipem. _ad praxes Opticas lonse paratiltimam, Superficiem Sphae- ricam aggrediar e restisio. Pro qua ramen, ob caulas pridem assigna- tas, circulos subrosabo per oculi Sphxreque centra, perque singula radtiantia puncta trajecios. ex quond hos Caroptrica primo, D.op- erica poltmodum exequemur. Ad illa. II. Praesternemus autem anpeucanor unum vel alterum; hoc impri- mis: Incidentium circulo radiorum obliquior est, qui magis à centro distar; vel qui minorem arcum (sublemicircularem) suibtendit. Sci- licer oblignius incidit recta QRS, quam recta MHF. Iam a CenErO C dueantur C. HI, C P; _CR; C. S. _ quoniam angulus. RCS angulo A C P Chypochesi nimirum insistendo) minor est; patet reliquos CRS, CS R reliquos CH, P, C D N (cumjunctim, cum sinoulum Cinsulo) majores esse. Cum itaque semidiametri: C R, C. N, circumterenrix perpendiculares linc; omnino liquet pro- potitum. III. Daco radio M X ad circulum incidenti coneruum reftexum resignare. Variis modis hue Facile peragitur; quorum nunc unum adhibere. eune alium ex ulu lic. nos unum aur alcerum ex expediroribus actinge uS. i. Incidens M HI protratatur ut circulum denuo secet inP. de Tumatur arcus NI _ =NI P; exit connexa a NHI ipsius MIN) P 18. 620 restexus, nam à centro C conmexi C. N, marifestum est angulum. Cd EB. 63.