# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0055 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0055?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 31, page id 797435492:0055 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=55 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000055.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine # Lines: 30 recognised, mean confidence 0.92 # 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 C I. p D ea jam accedimus qux radiis obveniunt ad planam supertici- LLem, vel ad rectam lineam, retractis. Quod argumentum eo diligentius p. osequemur, quia nondum pro merito suo videtur satis ex- cultum; ut ex quoniam in eo tractando methodum prxestituemus no- bis, ee qualinormam in sequenribus obserrandam. Ad ren. II. Parallelorum rectae linex (F P) incidentium radiorum (AB, F18. 3T. M N) retracti (B ae, N _) sunc etiam libi paralleli. Nam quoniam AB, MNsunt, ex hypochesi paralleli, erunc ansuli ABB, M N F. pares. Ieaque retractos habent ansulos pares; horumque comple- menta (scilicet ansuli a B F, H N F) aequantur, quare liquet retractos Ba, N u Sibi parallelos esse. III. Hinc infinire distantis, hoc est parallelos radios emittentis (in- finitam ad sensum dictantiam incelligo, qualis est quoad hoc Rellx cu-. juspiam) puncti locus apparens, aut imaso per hujusmodi retractio. nem effecta infinite quoque distat, quippe cum haec etiam per radios parallelos adspecretur. Ieaque licus ejus respectu visis ubivis posirifa- cile dererminatur. Sit oculi puta cenerum O. ex A punctum radians: immense dilticum; connexaque AO retringentem P P secet in C; Cirque radii A C retractus a; Per O vero ducarur O BL ad a 6 FIS. 32. parallela; in hac ad infinitum prorenta (velut ad Z). apparebit pun- ctum A. Cum enim radii AG, AB sinc (ad sensu) paralleli, exi- am iplorum refracti erune paralleli. Ouare eum C a sit retractus ipsius AC, exit BO, ad Ca parallela, etiam radii A. B refraCtuS. Fr∞O punctum A in recta OB prorensa apparebit.. Ouoad hujusmodi radi acionem nil suceurrit aliud; itaque de propinquo radiancis puncti sym- peoiata contemplemuI. sit punctumradians A, ab F. F haud ad sersum lonse remorum; ab hoc auterd: 16. 33.