# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0185 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0185?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 113, page id 797435492:0185 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=185 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000185.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 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. L E C T. ZVI. R. T; erit quidem Z P imago rectae F P absolura; at ejusdem imago relata (Puta P8 P 5) ultra PF R jacet, ab illa sensim reclinans; c- jusque puncta qualibet ita sionantur. Ab O ducatur recta OK. uE- cunque rectam P secanS in M, _ TII R M iplIuS FM retractus, tum (posiro rursusS =. V I9 - R 9) hat PII = SgXPMAPM. LgXPFC _ per H adl P F parallela ducatur HI ∞, ipsam O M R intersecans ado; eric punetum e in dicta linea, punctum scilicet F reprxsentans. eodem que modo puncta quorliber alia deprehendes. VIII. Similiter rectae FC ad iplam P O parallelx, vel inclinata imago relata a a r (in partes arcuata contrarias illis, ad quas prioris. casus imago videbatur incurrata) determinabitur. rem appolita figura latis exprimit. Hlxc autem omnia de supra comprobatis dilucide consectantur. IX. Ac ita quidem circa simplices planas superficies retrinsentes Fi8. 185. Peleres habet. Ouod si corpori parallelis planis M NF, uV terminato exponatur recta FC; Sint recta FP, C9, ADBO ip(I PO perpendiculares, _ HatBD. BS: : P. R; adlumaturque Aa =DS; _ Hat AB, a6:: F P. XP; _C per X, a ducatur recta X a Y, erit X aY linex F AC imaso absoluta. Ergo ejus imago ad oculum O relata (in hoc casu) cirra iplam Xa Y versus superficiem ur nonnihil incurrara disponetur, qualem extribet linea e a v. id quod ex eo latis videtur liquere; quod recta X a Y Ci imaso respectu oculi in ipla OB a B infinite semoti. delignari vero porerie hxc imago ad hunc modum. Sic fac (minusculis elementis indisitara) imaDOrectRF AC ad superticiem refringentem ur relata (hoc est ad oculos in retractis EpM, QVN, a DB, reliquisque, nec non in medio MVM N vertuS Oprorenso, (It05) junta proxime commonstrata delincabilis. tum hujus ipsus fac relut inmedio M NTur vertus A protenso POLIIX, CX retractione ad superticiem M NI eniergens, e ad oculum Orelata construatur imaso paq. (itidem ad modum nuperrime praescriptum) haecrectam FA C per COrDUS MNVuV spectatam reprasentabit. ex periencia reltis adrocetur, eso pluribus in re perplexiore, quam uri- liore supersedeo. Z. Porro quod plans specnta (limplicia, vel compolita) actince, in iis palam est imagines absolutas ac relaras omnino libi coincidere; quo EE, ut ex objectorum magnicudines, tisuras, distantias (Tiu EAMEM