# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0047 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0047?run=74 # Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2) # Folio - , page id 779785487:0047 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=47 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000047.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine # Lines: 62 recognised, mean confidence 0.94 # 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. PROPOSITIONNM. 32 adius ex raro in densum oblique incidens, non incurnatur a perpen- diculari. 46+ 32 Radius ex raro in densum incidens obligue, refrinciur ad perpendi- cularem. ibido 33 Omnes radii refracti in eodem centro non concurrunt, eum perpendieu- lari, sed in dinersis. 462 34 Oud radius incidentia obliguior est, eo cenerum unde radius refractus duci censerur, loneins distat, arque recedit à ceniro lucidi; contra vero, cum radius minus obliquui est. ibid. 35 Tinc nullum ex praedictis punctis, est conrrum, à quo lex diffusionis ac cipi possit. 463 36 Conrrum lucidi A, in hoc casu, illud est, unde lex diffusionis accipi- rur. ibid. 37 Radius oblignius ex raro in densum incidens macis incurnatur, atque adeo anculus refractionis maior est. 464 38 Sive centrum lacidi, a plano diversi medis, pluo. sive minus distet, ci- dem angulo incidentia, idem anculus refractionis respondet.. 465 39 Quo medium, in quod radius oblique incidit, densirs est, eo maior est anculus refractionis, possio scilicet eodem incidentiae angulo. ibid. 40 Praedicta curua, seu ellipsis excerior describi poreA, cuius scilicet, exira cenerum, dantur duo puncta. 466 42 Daris ellipsibus dissimilibus; de quibus supra, ductaque, a communicen- ero, secante recta, dici porest, quancum addi, vel derrahi debeat areni- secto, exterioris, ad hoc uc arcus sine proportionales, cum distantiis. vel radiis. ibid. 42 Zlinc dara mediorum ratione, daroque quolibee aneulo incidemia, defi- niri pocest angulus refractionis. 467 43 Daro anculo refractionis, respondeme aaro angulo incidentia, e dato alio anculo incidentiae, invenire angulum refractionis ipsi respondon- tem iuxta hyporhesim C arrestanam. ibid. 4+ Padius incidens oblique ex denso in rarum, refrincitur à perpendicu- lari 47C 45 Omnes radi refracti, paralleli prioribu incidomibus, non terminantur ad idem centrum, inxca hypochesim Carrestanam. 46 Daro angulo incidemia ex denso in rarum, dataque refractionum men- sura, dari poiest anculus refractus. 47 Refelluneur obiectiones, quae conra praemissam de refractionibus doctri- nam fieri possunt. 48 Aliorum sencenciae refelluntur. 49 Refellitur sentencia C arresti, circa luminis refexionem. 50 Refellitur seniencia eninsdam recentioris, qui vuls, mobile, à corpore reo fectenee, per eamdem lineam, quantum est ex le, remissi. 52 Refellicur sentenia cujusdam recencioris, qui vuli, lumen diffundi per li- neas parallelas, secames ad rangulos ectos lavera radii. 52 Restexio luminis non fis a prima superficie speculi. TOr. IF. 101a0 Iline