# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0170 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0170?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 106, page id 797435492:0170 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=170 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000170.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.88 # 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. F C Fxemp. III. Proponatur circulus specularis concavus MBH, radiorum OM, O N reblexi (InEM F, NO (se decussantes in L, _ cum ipsis OM, ON concurrentes punctis Z, Y) inter hos collocetur objectum F A C; ejus iridem imago rectis OM, O N interjacebit, pura ad e a v. comparando jam ansulos apparentes FOC, eOr clare vides objecti F AC speciem imminui. item cernis puncta sibi respondentia F, 8, _ C, 3 ad alias ac alias parres jacere, seu objecti licum hinc inverri. Ouod siinera angulum de spatium X LI Y statui concipiatur objectum, clarum est hinc ejus quidem speciem ampliari, sed adtuc Cirum inverti. (in inter ipsa X Y consistat objectum, ejuc itidem inrertetur litus, ac quancitas non immutabicur. demum li intra angulum NAIM constituatur objectum, Puta RLS; cujus imago Cirs no; eridens est hujusce speciem crescere, litumque retineri. Exemp. IV. Proponatur circulus Specularis convexns MBH: factisque similiter ac in eo quod immediare praecessr omnibus; né plura prodisam rerba, vides objecti F AO speciem (Pa V) co- arctari, sed ejusce politionem eandem perhictere. Exemp. V: Proponatur lens aliqua (exempli gratia, lens plano ConVexa) M B HI OP. Raclii OM, O N ad siperticiem M BN retringantur in MP, NQ; cum ip(IMP, NO ad Superticiem P retringantur in. iplos P F, OO (sele decustances in HI, d cum ip (I5 OM, O. N. concurrentes ad X, Y) vides jum in prima houra, si ob jectum PA C intra X Y (versus HI) Cacuatur, iplum ab imagine a 3 majus, quam obtutu simplice, repexesentari. Ouod Cincer ipla Puncta Z, E subintellisatur collocatum, ejus quantitas reuciquam immu- tabitur. at (i supra XY Cacuacur objectum R2LS, ejus species, ad pa s conspicua, diminuetur; ubique vero punctorum correspondentium polirio dixecta permanebit. iui1. c In altera vero figura (ubi retracti P F, OO versus aReM PFOCur. renteS COnVerGUNE) cum objectum P A C citra punctum II lumitur vides ejus speciem quantitare adauctam, at situ non muratam. verum objecti R L. Sulera concurtum HI polici imaso sn b nedum ProtOIY PO major est, ac quoad litum etiam eidem in vecla. Ft hoc quidem pacto nulla non lens pro varia vel objecti vel oculi volicione, objecti speciem aliam exhiber ac aliam; nunc dilatat, tunc contrahie; modo rectam dat, mox inversam; Tubinde propius adducie, nonnunquam lorisius amoret. Sinsulos casus adt examen tacile redises hoc ad specimen aciera mentis incenderdo. Ouinimo Fi2. 172. en ea 615. 172. E18. 273. E18