# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0044 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0044?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 779785487:0044 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=44 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000044.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine # Lines: 64 recognised, mean confidence 0.92 # 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. SY HOP S IS FZZ Si assumantur sermenta proporrionalia; in diametris inagualibus sphae rarum actiuicaris, lumina sini proporiionalia in ipsis sectionibus. 436 +22 Ex dictis manifesta racio redditur, cur lumina, quae à lucida sphara diffanduneur, sint in duplicata distanciarum permurando. ibido 723 Daca sphara lucida, es diamerro eins actinicaris cognita, si roia vis da- 1a sphaera in punctum collicatur, longior erit diameter huius actiui- raris, quam illius. +.3 224 Ouando lumen diffunditur a sphaera lucida inira spharam activiraiis. maior est luminis portio, in propioribus superfciebus, quam in re- motioribus. A3E 225 Portiones luminis, quae diversis superficiebus eiusdem spharae actiuiaris insunt, sunt in racione composica luminum e superficierum. ibid. +26 Si data spharae lucida collecta vis, ab eodem centro accre supponatur, in superficie immediaca, maiorem vim luminis producit, qu’am ea- dem, in sphara lucida. 439 227 In hac eadem hypochest, maior est luminis portio, in superficie sphara, quae ducitur per Z, quam in ea, quae ducitur per EI. ibid. 228 Si sine duae sphaera lucidae aequales, sed non aque inensa, sphara acti- nicaris sune ut incensiones. 440 229 Si sphara lucis sit cana, vel ad instar annuli. lumen agnaliter quoque diffundirur. ibid. 130 Si lucidum quadrarum sit, omnes radii sphara actinicaris, cadentes perpendiculariter in lacera illius, (unt aequales. ibid. +3F Ouadrarum lucidum habet spharam actinicaris quadrato terminatam. A. +. F. 132 Rectanguli luci di sphara actinicaris rectangulo simili terminatur. ibid. F33 Trianculum lucidum habet spharam actinitaris rrianculo simili termi- nalam. 44. 2 234 Cylindri lucidi sphara activitaris terminatur saperficie cylindrica; e coni, conica. ibid. 235 Sphaerae actinicalis lucidorum aequalium, sed dissimilium, sunt aqua- les, sed dissimiles. ibid. 236 Si derur annulus lucidus, tancumdem luminis non diffundie à parre ca- ua, quantum à conuexa, licet diameter circuli non si minorradio Spharae actinitaris. ibid. T37 Sphara activicaris annuli lucidi, in praedicta hypothesi, ab orbe conca- un diffusa, circulo terminatur. 138 Aque lonsus viderur esse radius à parre cana, convexM. 443 ibid. 239 Onando lumen diffunditur à parce cana versus centrum, modo radius diffusimis non sit longior radio circuli interioris, decrescit lumen Versus centrum. ibid. 240 Cylindrus in arcum lunatus longins à parte caua lumen diffundit, per radium scilicet directum, quam idem rectus. 414 24Y Loneius quoque lumen diffundit idem eylindrus euruus, à parre con- BBX A. ibid. 24 2o