# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0042 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0042?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 22, page id 797435492:0042 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=42 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000042.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 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. Tpotheles Opticae primarias, ee fundamentales quali leges expoluimus hactenus, e excustimus quomodocunque: Se- guitur jam ut ex iisemersentia quaedam (ad apparentiorum caulas tam vere quam expedite discernendas conducentia) subjunsamus corollaria; de caeteris quae faciliora videntur, aut ulum prae se terune porissimum Teligentes. Radios aurem jam consideramus, ut unica dimensione prx- diros (liquidem reliquae, quibus Physice saudent, parum faciune ad compurationes hic institutas) ut lineas, inquam ceu velgd: Hc, rectas concipimus à lucido quolibet aut aspectabili puncto dimanantes. Ouin cum, hoc admisso, linguli cujulque radii inflectio in superticie per- acatur ad planum inflectens recta (uri constat e praemissis) cum e no- bis pexeserrim mox insticurum sic lingulorum punctorum radiationes consequentia (ymptomata sic expendere, ur locos ipsorum apparen- tes determinemus, oculi respectu centrum habentis in ejusmodi plano uspiam constitutum; pro planis ubique rectas lincas, pro Sphx- ricis superficiebus peripherias circulares, pro reliquis lincas respectire coneruas, brericari consulentes ee perspicuirati, substitnemus. POrro cum quo praecise modo perasatur vilio, quibulque praedica Cit affecti- onibus adhuc expolitum non sit; Fit de illa tamen subinde crassius ali- quid ac generalius dicendis intexere Forrassis ex usu fuerit, illa Paltem perrulsaca, Post hac curiolius expendenda, jam weonex Jonus adsume. mus; nempe: Vilibile punctum in illo radio licum axparere, qui pro- cedens ab ipso (directe vel inflexe) centrum oculi permeat; proindéq; Titum objectorum e radiorum ita transeuntium politione judicari. Ma. jora, minora, vel aqualia videri objecta, prout iplorum extrema pun eta radiis cernuntur angulos ad oculi centrum respectire majores, mi- nores, aut aequales constimentibus; distinctam unius cujusque puncti vilionem radiis effici modo naturali, hoc est, dliversenter, oculo illa- bentibus; FF ligna sunt his agnara paricer obria, icu manifecta. Ouinetiam verborum parci, rocabulis passim receptis se ulitaris deti- miendis aue explicandis abstimentes, iptorum supponimus intelle- Cum.