# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0487 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0487?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 429, page id 779785487:0487 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=487 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000487.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine # Lines: 90 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. S.di L 1B. II. DE ALYE R A TIONF. plano obliquo, quam in directo, men illius, esse ad lumen porrio- v. 5. in ellipsiBE, quam in circu- I0 CF; est enim elliplis praetata minOr CircilO FC, Ve pater: hinc lumen incensius est in eo plani el. liprici puncto, quod propius ad centrum A accedic: Ilinc criam di- ci porest, quenain (ic cario lumi. num, in divertis seomeneis dia- Ietri E B, v. 8. in FF, PB; PUINE enim lumina in pradictis (egimen- tis, ve elliples, sub diaeeris F F, FB, permutando; Ccilicet in conis, Cub angulis aequalibuS FAF, FAB; quod cerre eodem modo Biob2- eur, quo supra, quomodo verdin porrionibus ellip(cos, sine luminas dicemus paulo polt. PROP. C Desiniri porest ratio luminis, quod inest plano parabolico: SiC COnUS luminis ACO, Ec centrum balis E, ducatur axis parabolae BF; (IF- que parabola BFD: dico lumen in plano patabolico BFD, esse ad lu- imen plani Pemicirculi FCD, VE hOC Planum, est ad illud; hoc est lu- mina lune ve ipla plana permuran- do, ve lairr cories diximIS; eM- pe nullus radius incidie plano FCD, qui non ducacur per pla- num BFD; igirur cadem cst POr- rio luminis in vno, quae in alio; igitur lumina Punc ve plana, per- mutando; lIE QUIECI V. g. FD, 8. FC, FB, aeguales; hoc DOTIEO Pa- rabolicum planum eric 24. Femicie- CuluS Verd 25. =. circicei. PROP. CT. inest porcioni plani elliprici, hy- ig. 8. Perobaci: Sic conus luminis ACD; nis circuli FCF, re hoc planum est ad illud; Cunc enim lumina Cub eodem angulo comprehenta, ve Plana, quibus incidune, permutan- do; lic eriam conus luminis ACF; siE hyberbola BCD; SIc ctiam POI- tio circuli GCD; lumina PunE ve Plana, permutando; quod cerre co- dem modo probacur, quo Lupra. PROP. CTI. Tsinc vera raiio ducenda est. pro- peer quam planum obliquum minus illuminatur: v. 8. Eine duo plana Eig. 9. aequalia BF, BEL; ita BFI sic obli- Fig. 20. quius; cerre ve vides longe pluis lu- iminis incidie plario BF, quam BFI3 quia heic incidie lumen suB anou- Io BAFE, huic vero (ub anoulom 2- iore, Scilicet (ub BAF, in hoc nulla est disticulcas. PROP, CTII. In ea superficie sistit sphara in qua produerur illud lumen, quo imper- fectius produci non porest: Alioquir nulla penicis eset ratio, cuF vIETa Ephaera non producerctur: immo Facilior modus exeogirari non po. rest, quo dittulio qualicacum cer- MLMCEUI. PROP. CTV. Si accipiatur linea lacidi, quae lon- sior est, loneins acir quam quae bre- nior: Racio clarislima cR; quia 1I a - ior caula maiorem effectum produ- cir, per ax commune; igitur plus lu- cis plus luminis; sed plus luminis in maiore radio diffundicue, VE PaECE ex dictis; igitur longior lucidi linea lonsius asir; cum lineam audis, plylicam cogica, nom nulla mache- eorrio ellipseos BEFC; dico lu marica dari porest. AEIL A Definiri potest racio luminis, quod 18. 7 PRDF