# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0066 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0066?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 38, page id 797435492:0066 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=66 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000066.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 recognised, mean confidence 0.85 # 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. Peorcua e to eicea ractos pacatetos coletacanculacu, compendio leenes e iite cenpeccetn uben asniCte, pa rallelorum le tes eletu Paccous Lacor ba quond porcors ncectonem, lcent eccun cun sfte eo caris paicidus incidentium. moco ctalOSCa CBSIEL MaIa duare parallelorum radiaciones examann opus contenas Parces a concaris distinsuere, cn ete cu s Les Polthac aiceetaster Cracec. Ls actoes, d cadura sacct ccassuu. ex quu propoluimus instituenda pbe ctaom sequenti relervamus. LC I. D, Ojam prorecti sumus, ut radianris (a sensibilirer finita dictan- Lscia) puincti locum apparentem inrestisemus, illum nempe qui relultat, cperacta ad planam superticiem retractione; nec non respe- etu risus extra radiationis axem constituri. Ouorsum imprimis spectat, ut rectam determinemus lineam, in qua locus ille verlatur; tum ut Cingulare designemus in illa recta punctum, circa quod exquilite con- Cctit. Utriusque quaesiri gratia conticiendum, (imo penitius excutien- endum) venichujusmodi Problema: II. Dato puncto A, inpositione daram rectam F. F radiantet, desig- nandus est incidens, qui per alterum transeat datum punctum. TII. Si datum punctum alterum (pura jam R) in recta A B existat, ad retringentem P. F perpendiculari Problema planum exit, ac ica Faci le conficietur. In primo catu (quando scilicet I L R) Hac AB. YB :: VI9 - Rg. I. iremque tatR B. T:: VIq - Rg. R, AIm Cen. ero Y interrallo T descripens circulus iplam F F secer in N; conne- EtanEUMEqLE ANI, KN; exit R N a iplius AN retractus. Itidem in secundo calu (ciim I= R) Hat R B. ZB:: V R9. - 19. R. AB. T:: VR9 --I9. I. centroque T interrallo T descri- bacur circulus ipsi EE occurrens in H; exirque rursus K N a ipsius AI F1B. 4049.