# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0064 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0064?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 36, page id 797435492:0064 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=64 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000064.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.91 # 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. F18 46. E E C F. IV versam PatIONeM RSG. RS9-Z B9 + SNNG::B Ag. BZ9. hoc estRSg. RNg -ZBg:: B A g. Z B9. quare permurando erit KS9. B AG:: RIN4-- Z Bg. Z B9. e compolite RS9- 1 BA9. E A 9:: RNTg ZB9. hoc est ANg. BAG:: RN9. ZB9. qua- re rrsus permitando est ANg. R N g:: BAg. ZB9:: R9. Iq. itaque AN. RNI:: R. L. unde patet R N ipsius AN retractum tore: Z. F. D ZIX. Erhinc, ut in priore casu, patet quod distantiae (ZL, TR, R L) concursuum xquantur differentiis ipsarum Z B, H MI, SN, TO ordinatarum act clliplim. Fix quod ZI, ZR ~ IR. RS. Qc dif- Ferentix porro dictx circa verricem elliplis L. admodum exigux luner adeo que proxinquiorum ani radiorum retracti circa L dense congre santur, e velur ab eo procedere videntur. EX Exhis tandem univertis colligitur quod puncti radiancis A imaso (respectu scilicet oculi centrum O habentis uspiam in axe AB consticucum) circa punctum Z conliltet. Sit enim D S diameter pu- pillae (illa nempe qua in plano P AFO) de per hujus extrematranle- ant radiorum A MI, A u resracti IM D, Ie Si; Pane paret quod nullius obliquioris (ceu iplius A N, vel A r) retractus oculum insredi porerit: quin universi cales aliortum digredientur, adeoque nec illi quicquam adrisum actinebunt; eique nil omnino conterene efficiendo quaquamm, nectum decerminando. Ouinimo cum vilus a Polis atticiatur radiis in- era sparium Z Paxem interlecantibus, adeoque relur ab eo procedenti- Dus, incra spacium Z I neceltario verlabitur imaso; quia vero ex his qui circa Z concurrunt oculo rectius incidunt, ideoque praecipua vi vollent; cum e ii (uri mox octendimus) spissiores linc, e prae care ris contertim incedant (id quod eriam nonnihil illorum vim adauger) cum eriam iidem facilius ab oculorursus in idem punctum recolligantur (id quod posthac aliquatenus ostendemus; e interim ex eo fc rerisimile. quod res per exisuum foramen spectata, radiis scilicet obliquioribus exclusis, longe distinctius, apprehenduntur) quoniam, inquam, hac ita se habent, iis perpensis omnino rationi consentaneum est objectum videri ceuradios projiciens a puncto Z, hoc est ejus imaxinem inibi con- sictere Addo, quod ob exilem pupilla lacicudinem, et propter ali- guartam oculi dictantiam a retrinsente; totum spacium. L. I perquam argultum erit, ex instur puncti merebitur existimari: quae cuneta propolirum abunde videntur centirmare. at do L C lalt