# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0042 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0042?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 779785487:0042 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=42 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000042.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine # Lines: 66 recognised, mean confidence 0.93 # 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. 5 V NOPSIS 78 in medio densiore, idem lucidum contractiorem habet spharanis 42 20 79 Si lumen diffundererur inxta progressionem reomerricam duplam nume- rorum 2. 2. 4. 8. 16. 8c. plus esset luminis, in primo puncto, quam in relignis ejusdem radis ibid. 80 In nostra quoque hypochesi, plus est luminis in primo puncto, quam in aliis omnibus simul sumpiis, einsdem scilicet radii. 423 81 Dato lumine primi es oltimi puncti, ejusdem radii, definiri porest, quos sine puncta inradio. 42. 82 TLinc daro numero punctorum, radi, possco quod lumen, quod olcima puncto inest, sic ve r. definiri potest intensio luminis primi puncti, es aliorum punctorum. ibid. 83 In puncto penuliimo; minus est luminis, quo maior est spbara; plus ve- ro, quo minor. ibido 84 Assompio quolibet puncto radii; es cornita incensione luminis, quod ip. si inest, itemque ratione luminis, quam habet ad elrimum punctum, lonsindo radii cognosei potest. ibid. 85 Daro radio luminis, cuius cognoscitur loncindo; assumpri cujustibee puncti, cognosci porest incensio luminis, vel racio luminis, quam ha- bet ad vliimum punctum (phara. 86 Dici non porest quantum sic lumen primi puncti radii; nisisciatur, quoe punctis radius constet. 87 Finc radius insinicis punctis physicis non constat. 3d Lumen quod medio radio inest, est semper vi 4. ibid. ibia. 425 89 Diniso radio, in quamlibet rationem coeniiam, dici potest, quantum sit lumen, in puncto, quod scementa connectit. ibido 90 Finc ita dinidi pocest radius, vi lumina in sectionum punctis, sine in proeressione quadratorum. ibiedo o2 Ia dinidi potest radims, ux sumina prooressionem geomerricam sequan- ZUr. ibid. 92 Ita dinidi porest radim, ve lumina proeressionem arichmericam sequan- Fur. 42.7 23. In nostra byporhesi quancumtihet dividarur radim, in iisdem punctis, idem lumen est, secus in progressione geomerrica dupla. ibid. 94 Si assumaur conus luminis cum basi rectilinea, in singulis basis pun- Etis, lum en aque inensum non est. 95 Definiri possunt rariones luminum in sinculis. punctis. ibid. ibid. 96 FLinc licei assumaneur anguli aequales, qui sustincantur à segmentis se- midiamerri basis, non eris aque incensum lumen, in segmentis, aequa- les anculos sustinentibu. 4.28. 97 In huinsinodi sermentis, lumina sunt vt ellipses; sub praefaris sermeniis ibid. 98 FL. ne lumen tanium aeque incensum est, in singulis punctis basis, eum ilia est poriro sphaerae actinicaris. 93 Basis, cui lumen incidic, sectio qualibes conisa esse porest. ibid. ibid. Defriiri