# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0510 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0510?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 452, page id 779785487:0510 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=510 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000510.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 92 lines, status machine # Lines: 92 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. 52 PAZSICF YRA CT. IV. lis proportionalibus minoris, quDE in singulis proxorcionalibus maio- ris; cerre lumen non est propriein. centius, in minore, quam in maioic, Per p. 3. videtur camen esle; quiaran. rumdem eA luminis in aicu CB, minoris, quantum in DE, maioris; igitur in CB incensius lumen esse viderur, cum eadem luminis por- eio sc contractior in CB, Q magis rnica, in DE vero, distractior; quia tamen eor lune puncta Phylica in CB, quorin DE, verobique cadem estincensio proprie, quae proprié accipitur, respectu ciuldem parris Tubiecti; obleruabis tamem iuXta hypochelim illorum, qui lumen COr- pus esse Cenriumt, haec rera luminis intensio elle videtur, quod Fatmen adhucrepnonar, nam in medio den- Popori angultiores LunE,VE PaTCE, _ laxiores in raro, igitur plussuminis laxiores capiune, li lumen corpus el; rnde lane Fallam illam hypoche timi, quancumvis carera aigumenta deellent, reputabis, sed iam illam in lib. de lumine Fuse returaui. PROP. V. Lumen, quod ex medio raro, si persicie spharica terminato, subit in densum medium; nullo modo refrin. siur: Sic lucidum in A, Sic medium rarum excenlum vique ad C, a den- Co vndequaque in oibem circum- Ccripeum; radius cadens ab A, in C, non retringitur, nec incuruarur, led recta, per medium denlum, perspi- cuum scilicer, cendit in D; cario ck, quia cadic AC perpendicularirer in medium dentum, eraro;igieur non retringitur, cur enim in vnam po- rius partem, quam in aliam, dexrror- Tum, v. g. quam sinistrortu, per Ely p. 3. Qua demonstLaTUE, PeF dd ul quilibet enim radius per lineano canrum dererminaram diffunditur; Ced in hoc calu, neurra refracta ese decerminara; dic enim Lodes, quaenâ deterinAEa NIE; IOIEUE MMIIA HE FC- Fractio: Dices, hanc raionem else Degariuam; Relpondeo Fundari in illo principio policiuo, quod habes in 2X. 1. c proinde esse policiuam. quod cerre nemo negabit, modo logica vel leuirer rinctus lIc; aequi quod dixi de radio AC, de omni- bus aliis dici debet; cum scilicee omnes perpendiculares Cint. PROP. VI. Zumen. quod praedicto modo, c raro medio cadit in densum, inten (ius est in prima illa superficie densi, quam si tantum per medium densum. secun- dum eamdem distantiam, vel radius longitudinem diffusum esset : v. 8. (IE idem lucidum A, CE mediuM FALUMA 2b A, in C, cui deinde (uccedar den- Cum versus D; dico lumen in C elle incensius, quam si ab A, per mediur cancu densumradius venisset; quod Facile probatur, quia ( ab A venil- Ter in C, per medium densum, ian plus virruris in medio denlo, quod Ecilicer pluribus parribus constat, concumprum, ac policum cller; igituF iinus esler reliduum; igicur in reli- quo Legmento remissius lumen im- Primeretur; in quo lane non vide tur esse disticultas. PROP, VII. In hac eadem hypothesi. qua scilicet e sphara medus rari, subit lumen in densum, lumen in prima superficie densi productum, perinde se habet, at- que si aliud cerrum lumen mains; ab eodem centro diffunderetur idque tan- rum per medium densum: Sit eniis ir A lucidum minus Z, quod per to- tam Ephaeram medii rari, cuius Eadius