# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0556 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0556?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 498, page id 779785487:0556 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=556 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000556.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine # Lines: 89 recognised, mean confidence 0.90 # 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. PEZSLCE TRAOT. IV. erunt quinque radii, Eeu legmenta, refractiones quatuor; (inc v. 8. duo globuli AB; vides elie quinque Lcgmenta, (cilicer CDFION; vel rnum radiumincidentix CD, vnum reRexum OHI, cres reFractOSDFTO: porro radius incidenrix in lupre- inum globuli hemilphaerium vix cadic, nili globuli estent ex materia densilsima; hinc pro duobus globis allumi possune duo hemisphaeriz. 2. Elinc licet FOrre FadiuS C V, Facto luo refractionum citcmlo, r2- dium reflexum, secundum angulum aqualem, non relinquae, alius c2- en ips parallelus, Obliguius, vet minus oblique incidens, in Luper- siciem globuti A, hoc iptum PEX- stabit, ve paret, neque in hoc est difficultaS. 3. Aliquando reRexio AE in ErI. bus globulis, guorum centra ea- dem linca connectie, v. 9. (INE A, B, Q; Sic radius z L, Per centrum A ductus, cerre cum sic perpendi. cularis; nec in ingrelsu, nec in eoreltu refringitur Ped FaNEIIIM CUE- UaEVE in TK, qua est paralIel2 AB, _ in RZ, idque secundum angu- los aquales. 4. Aliquando Cune plures glo- Sio. 46. buli; v. 8. Cnc hemilpharia ABC, cum duobus globulis annexis S, X; hic centrum, flobi loco appel- 10; siE radinS FP, retractus in PO, cum in OO, cum in OV; VR, RZ, XT, TZ, ZN; in hoc calu TunE 9. Peomenta, quorum VR paralle- tum est plano AC. Arque rellexio Focundum an gulos aequales. 5. Tlinc Leomentum illud pla. no incidentia parallelum B TunC 3. Teomenta, est lecundum; G. Fer- tum; ( Ir. Pexeum; eEc. nempe numerus Cegmentorum est semper imparihinc scomenrum praedictum verimque aequalem scomentorum numerum relinquit. 6. PExrerea (I FAdii FPAH GUHELE in duobus globulis, Cunc quinque Tegmenca; (I in Tribus, 7. Si in qua- EUOF, 9. Ci in quinque, IF. aCque ita consequenter, secundum can- dem lexiem: Flinc numerus slobo- ruro est semper aequalis numero Lcomentorum, qua hinc inde leo- mencum medium relinquit; me. dium appelto illud, quod paralle- lum est plano incidencix; denique numerus fractionum, modo nullus radius perpendicularis (c, est mi- NOE VNICRTE NUMETO LEBMENEOLUM V. 8. EI CInE rria Ceomenra, Cune dux retractiOneS; CI 5. QuaFIICF; I 7. LCX; (1 9. Octo;Qc. 7. Ouo anoutus incidentix obli- quior est, pauciores globulos de. SIdCTAE FCIMECIFCHIEAS FEFFACLIONUME, repacer ex dictis:hinc plures iadii reRlectuneur, quia pauciores craii- ciuntur: hinc aliquando paucio. res, aliguando plures globuli in- EaCti relinguuneue, inter illum, in quems immeroitur radius inciden- tix, e illum ex quo radius rehe- ZUS CWEFGIC. 8. In unico olobo, heri porest rehlexio; r. 8. sc Solus globus B; Fig. 45. sic planum ABO, SIC radius inci- denria BI; retringieur in PK, Parallclam AB; tuI MIAEL, Vcs rellexionem, camque secundum an- sulum aequalem: ieaque pro diver- La demhcacum carione, pro diuerta incidentia, redexio plures, vel pau- ciores fractiones, vel globulos de- hium: b 7. Guaecum; g. qui Eidotac; immo pro diverta radius itmmeF