# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797435492:0139 # Permalink to this reading: https://leibnizlegible.com/page/797435492:0139?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 87, page id 797435492:0139 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=139 # Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000139.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine # Lines: 31 recognised, mean confidence 0.89 # 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 CT. LL 1. Panfactis iis quae refractioni conveniunt isti, quam ad cir– cali peripheriam subeunt radii sibimet paralleli; quid iis. ob- venit proxime dispiciendum venit, qui a puncto quexiam (ensibiliter divergentes itidem circulo se objiciunt refringendos. Cum aurem in hac Hiypocheli multa reveriatur casuum varietus e pluribus caulis oriunda (nedum enim a mediorum specie differentium ordine, vel litu versus Ce diverso; quinetiam circuli retringentis alia ac alia, convexa nem- De vel concara, Facie radiarioni obversa; sed ab iplius quoque radi- antis magis aue minus a retringente semori politione conclusionum emersit nonnulla discrevantia) nobis incumber ira rem, qua possir mus, moderari, simul ut cum ex abstractione nimia proveniens con- Fulio, cum e revecirione tastidium aliquoulque deritentur. id autem non alias, opinor, commodius aslequemur quam imprimis generalia quadam atrinsendo, cuidam unicalui (illi nempe, ubi lL. R, _ radii conreris circuli parcibus incidune). Sic applicata, ut latis Faci- le possine ad alios quoque cransterri; tum peculiaria nonnulla sinsulis congruentia Tubnotando. ad rem. II. In circulum retringentem BN (cujuScenerum C) radiet pun- Fig. 129. ccum A; e connexa A C procendatur ad urrasque partes indetinite: tum cujalvis incidentis A N lic refractus NR, cum axe nimirum in K conveniens, dico compolitas rationes A C ad CR, _E NTR ad NI A aequari rationi lad R. Conjungatur enim C V, _ ducatur R H ad CN parallela; exir isitur (ut generatim ancehac habetur osten sum) l. R:: NR. NHI = NR. N A u) N A. AIH == NK. N A F 3 Eect. mum: 9. AC. CK: G. F. D. p AII. EIinc SI fuerit C A . CR :: L. R. CTIE CR. CR::NK. A. Nam.