# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0152 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0152?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 96, page id 797435492:0152 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=152 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000152.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.95 # 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. 249 5O E C I. Cub praecedemis calcem, Reculam pollicebamur, exemplis stipa– tam, ex qua punctorum e variis instectionibus resultantes, ima eines dienoscantur. illam nunc extibemus quam simplicime conceptam. Sic A B F FO radius principalis, puncti radiantis A speciem per oculi centrum O deferens, ex incidence primo AB, et inAexis BF, E F, FO (in directum aut secus dispoliris) constans; tum puncti A respectu oculi in recta B F positi, _ ex inflectione ad suxerficiem B resultans (epraemissis utique desionabilis) imago (IFZ. icem hujus Y (quod jam reluti radians concipiatur) respectu oculi in recta FL constiruti, ex ab inflectione ad superticiem P emergens imaso (ICY: denum puncti Y (ranquam in superticiem P radiantis) respectu oculi in FO collocari siE imaso Z. erit hoc punctum Z imaco cunctis ab tuis inflectionibus proveniens. neque secus quorcunque fuerint inflecti ones sele res trabebit; enimvero semper ex iliatali postrema infectione relultans imago, eadem erit cum illa, quam omnes extribent. Flujus eftari veritas e constructione Patis apparet; e qua Facile colli- sicur proximorum ipsi AB incidentium hinc inde radiorum inAexos eandem circa punctum Z ipsum F Z interlecare. vel ita rem collegeris: punctum Z est puncti Rimago; _ punctum Y ipliusZ; denuoque punctum Z iplius Z; itaque punctum X iplius R imago erit, qualem nempe restic ferr, remota. Scrictiore lonsiusculo discurlu posset hoc comprobari, sed quortum rem latis claram intricare ? II. Exempla jam, qua diri, seu e praemissis deducta consectaria subnectam. Noretur autem imagines, quae in iis proxonuntur delig. nanda, oculum respicere Centrum habentem in ipso radiarionis axe (qualis est recta. BD) constiturum. item diverlarum superticierum ac radiacionum axes libimet in directum voni. pexelumatur etiam in retractionibus ex aere factis ad vicrum Fore L. R:: 5. 3; ad aquam vero Fore l. R:: 4. 3. Chae nempe ratiores veris probo congrux depre