# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0137 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0137?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 85, page id 797435492:0137 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=137 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000137.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.93 # 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. Bi C 2. LL a L6 RIZ =CRZ = ang NZI -2 anS CRZ =2 angHZC. 2anSC R Z = 2 ang. Z C D =ZCY. est isitur ans. OFL = ans Z C. Y. Cum itaque sic in superiore LIyporheli punctum Z um- brae lucilque continium, manifeste liquer provolium. XV. Subnoretur autem, (i medium inflectens (t aqueum, arcum Z P esse parrem circuli toram (posticam scilicet) illuminatam; tan- sentis enim ST refractus, puca TV, nedum non punctum Y prx- teroreditur, at citra punctum D cadic. alt in denlioribus mediis, re- lue inritro, secis accidere porest; liquidem in coransentis retractus, Fig. 228. puta TX, ulera terminum Y (modo praedicto delignatum) cadit, ut quidem ex calculo facile colligatur; unde pars illuminata arcu Z Y amplior eradit; cansentium quippe retractis circumscripta. Vide ric isicur excellentistimus vir; an univertim constet (id quod ipse nili tallor innuere videbatur) ex observata partis illuminatae quanticare, Tridis anculum; etiam juxta Carrestanas TTypocheses, recte determi- nari. Nlam sumendo arcum D R = D X; ad punctum quidem R pertinger illustratio; neque tamen ulla lux quadranti B P incidens a parte LR (sed illa tancum quxe ad partes Z D cadit) ad oculumO insfectetur. unde quoad oculos ad has partes litos, hoc est quond rem quae prae manibus, punctum L lucem e umbram dirimit acque dister- minat. XVI. Vobis autem expendendum proxono, annon extrinc appa. Fig. X28. rentiarum in lride ratio elici possic, illa forre verilimilior, quam ipse Carrestus altionavit. Quid enim si dixero peripheria ZV impin- sentem lucem, ee versus D infleram magis apparere; primo, quia spiI lior est, ac a radiorum semina diffusione constat, ab utraque puncti XI parte in arcum Z. V retractorum; cum secundo, quoniam oblignius ipsi ZV incidit, adeoque faciliis ee copiolius inde quam aliunde rexlus partes O retorquetur? Et cum praeserrim circa punctum L acutius radii coeant, neque non incurrant obliguius; quidni propterea rividior exinde resultet apparentia? Verum AXC XapOnBOnnS. Duoniam Colorum incidit mentio, quid si de illis (er(i prxter morem. ac ordinem) paucula divinarero? XVII. Album est quod lucem coxiolam, Pariter uoique p circumtundic. Talia terme sunt corpora, rarioribus poris inrer- puncta; praelerrim, qua multas superticieculas, in omne latus obver- Sas, hrabene. Sunderur hoc, Quia pure lucida semper alba videntur: Duia