# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0525 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0525?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 467, page id 779785487:0525 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=525 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000525.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 95 lines, status machine # Lines: 95 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. L1B. TII. DE REERACTIOHE, QC DROD. ZL IT. Fine data mediorum ratione, da- roque quolibet aneulo incidentrae, de- finiri pol est angulus refractionis: Ouia caca Mrediorum rarione, e daco radio difFusO, pCE LaTUM TanCIIM, Eciri porest longirudo radii, ab co dem lucido distusi, per densum ran- tum, per P. 2. Pexterea Cciri porest longicudo seomenti deno immerti, cogniro Leomento, quod raro im- mergitur, per P. 10. 4 16. igieur Ac- ri porest elliplis, terminans praedi- ctam porrionem luminis, in medio denso. per p. 40. icemque exiildem, dari porest alia incerior, distimilis exteriori, ve dictum est ibidem, sci. rique porest, quantum arcui maio. tis detrahi debeat, ad componen. dam proportionem, arcuum lecto- rum a iadio oblique incedente, cum proportione radiorum, per p. 41. Ted ex tris habetur angulus re- Fractionis, vE ConstaE. OUaICS, quomodo hrabeatur seomentum im. inertum denso, sive breuius, teri- racum Scilicet ad inceriorem ellip. Tim, Cive longins, ad CXtCrIOLCIM; contule pro hac sc p. 16. Dicesibi Tuppolicam ellerationem octuplam denlicarum; Sed perinde est, luppone enim quamlibet Larionem, pro Hac enim valet eadem regula, quam videlis, nec enim hicrepetere vacat. le e 1. 1L Daro angulo refractionis, respon- dene daro anoulo incidentiae, es da- 10 alio anculo incideniia; invenire anculum refractionis ipsi responden- tem inxta Bypothesim Carresianam: Carrelius hoc problema, in Cua hy- Porheli luminis, de qua luo loco actum est, Poluere conarus est, id- que Facili modo; vult enim, polica eadem mediorum difterentia, linum rectum complementi, cuinslibet an euli incidencix, esse ad linum re ctum anouli refracti, ve linum se- etum complementi, criusibet al- terius anguli incidencix, ad linum rectum Cui anguli refracti; v. 8. SIt radius incidens DBR; angulus inci. 118. 24 dentia ABD; angulus complemen- Ei DBF, vel iphi aqualis LIBR; au- oulus retractus FIBI, Sinus rectuS RuiuSME, illinS veTO, RL; sit quili- bec alius anoulus incidentiae ABT; complementiTBF, vel ipi aequalis HIBK; cuius linus rectus (ITRY; angulus aurem refractus, ipsi rel- Pondens, IIBP, _ linus rectus hu- IUS PZ; VulE pExdictus auttOL, RV, eAe ad PZ, VF RL, ad TM, camdem- que Ceruari proporcionem in aliis angulis incidenria, ita ve li ratio RV, PX, SE Celquicerria, cadem quo- que SIEFatiO RL, TM, acque adco quilibet sinus rectus complemenci anguli incidencia, sic ad tinum se- ctum anguli retracti sibi compe- centis, ve 4. 2d 3. hoc iplum est quod praetarus auror demonstrare ConatuE, Sed ex Falla hypocheli, _ Falsis principiis, ve octendam intias ve aucem in rostes hypochesi pra- miltum problema Coluatur; suppo- nerer Forre aliquis primo, quemli- bec anoulum retractionis crelcere, retractum vero decrelcere, rbi crel- cit denlicas medii; nempe vbi me- dium, in quod oblique incidicra- dius, densus est, maior es angulus retractionis, per p. 3 9. Sccundo den- lirarem crelcere posse in intinicum, id est dari posse corpus densius, et densius in ininicum; certio, nun- quam radium refractum COnCUI iere cum perpendiculo, quandiu densicas finica est; quia scilicee Pohet adhuc crelcere dentitas, nec 1 12 2 EBIEM