# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0154 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0154?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 98, page id 797435492:0154 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=154 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000154.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 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. e B C Y ZIV. 2. Si punctum Z cadat incer C, _ R, FaC DZ. + FRZ. DZ:: DR. DY; _ cape D Y ad partes lenris versuS R. 2. Si punctum Z. cadat extra C. R, _ sit insuper DZ. C R 2. tac DZ = = RZ. DZ:: DR. DY; _ cape DY ad partes lenis vertus R. 3. Si DZ = p KZ, imago Y infinice distabit. 4. SiDZ 3 FKZ; Hat F RZ -DZ. DZ:: DR. DE, e cape D Y ad partes lenris adversaS ip(I R. Desensibiliter aurem propingua distantia radiantium seu diversentes radios emitrentium punctorum (qualia semper delignat punctum A) imagines Cur ex illae quas ad ejusmodi puncta convergentes efficiune radii) hoc pacto determinantur. I. Ad lentem plano. planam divere. II. Ad lentem plano- planam convers. Fiat SR. I:: AB. BZ, _ EI. R:: DZ. DY. Brerius. Fiat l. I- R:: BD. AY. TII. Ad lentem plano.- convexam divers. IV. Ad lentem plano concavam convere. Fiat R. I:: AB, BZ. _ cum Z cadit 2. FXITADR, (I ZE RZC DZ; FaC pRZ --DZ. DZ :o DR. DY; cape D Z ad partes lentis adversuS A. 2. Si 3. Si RRZ =DZ; imaso distabie infinite. 2X2-D2; tac DZ = p RZ. DZ:: D R. DY; eape DY vertus A. 9. 1 Ejg. 1543 F19, 156. 4. Cum