# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0113 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0113?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 69, page id 797435492:0113 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=113 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000113.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine # Lines: 30 recognised, mean confidence 0.87 # 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. 10 LX L.. T. N postrema Lectione quod spectarimus punctum cireuli convexo Lalluxir; nunc parres concaras irradians aliud, at magis et n’no, concemplabimur. x quidem casuum pexecipuorum diverlicatem im primis distinouemus. Nempe radiet punctum A in circulum re- Aectentem, cujus centrum C; connexaque recta AC protendatur in- detinire; quo posito. II. T. Incidat radius A N; _ TIF A N = AC; erir ip(IuS AH rehexus, puta N a. ad A C parallelus. Hoc e tupra generatim ostensis constar; ec Facile jam paret, Con- Nexa C A. etenim est aiig. A CN = ANC; Ob AC, AN, Cx Hypothesi pares; _ ang. AN C = ~ NC; proprer reflectionem; ad eoque ang. AC N = a N C; unde sunt AC, Na libi paralle IX. 18. 970r III. 2. Incidarradius A M major ipSa AC; ejuS resexuS (puTA F18. 98. M a) cum aze directe procedens conveniet ultra centrum, respectu puneti A; Choc. est cenrum C puncto racianti, concur suique inter: Jacebic): Nam Ob AML AC, CPIF anG. ACME AMC =CMa. ergo ane. BCM 1 CM a 3 anG. BCM-F ACM -= 2 rect. quare M a, C B convenient intra C.M ad partes a B; velur. ad R. recterus, pura Ra, axi retro procractus occurret. (hoc est ut radians cenrro, concurtuique sic interjectum). Nam hic ob A R =n AC; exit ane. A C R ane ARC- an. aRC. QuaprOPTEY anS. DCR-Y a RCL 2 rect. unde paret ip (a5 DC, a R Porrrnctas intra C R COnCUrreTC: 8. 99. V. ElOrutad..