# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0098 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0098?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 58, page id 797435492:0098 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=98 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000098.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.79 # 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. P C Y. I Dux radiis obreniune a longinquo puncto manantibus, ade. que quasi parallelis, ex reflectione peripheriam ad circula rem peracta; ubinam ex quousque vel sibimet iplis occurrune, vel ax em incerlecant; quo loco radians oculo ubicunque constiruro reprae- sentare, in postremis ele disertarum. ad punctum jam accedimus ra dios ejiciens sensibilirer diversentes. Ft hujusmodi quidem puncto; quanquam seu in obversas circuli Convexas partes seu ad concaras radiet communia pleraque Cpriptomara conveniune; tamen communi tretus Opricorum exemplo, praesertimque majoris eridentiae causd, calus ictos distincte prosequemur; illum tussis imprimis, hunc aliquan- toconcilius. ad rem. II. In circuli BNP (cujus centrum C) converum à puncto a quilibet incidat radius AN, ilque rerlectatur in NC: patet reAex- um CN productum axi A C occursurum. nam ducta C N P Patet CHI productum angulum ANC secare; nec non ideo trianguli ANC baTIn AC; DuTA In R; quo pOlITO. III. DiCO FOrC AC. ANI: :KC. KN. Nam duCATF R EI ad CN Parallela. CsisituE ang. RH N = CNP =CNTK =NKH. hoc. etiam c superius generatim ostensis consectatur. adeoque NII NR. icaque cum sIt A C. AN:: R C. IIN. erit eriam A C. AN: : K C. RN. IV. Corollarii loco noretuir (ducta CP) FOrC NYH = XR; ee criangula HIN R, N C P altimilari; vel esse HR. HIN:: NP. C.HI. V. Porro, constantibus iildem, dico FOre AC. RC:: AC9 ANg. C N 9. Nam est HP. CN + AN. CN =- TIR. HN F AN. CN =HIK x AN. HN XC.N = AN. HIN P. e (ivis l. A Au tbl III tam.