# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0476 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0476?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 418, page id 779785487:0476 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=476 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000476.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. 418 PA ZSICA YR ACT. IV. ad lumen in O, ve quodratum CA, ad quadrarum BA; hOC CA VE I. 2d 4. G vero diuidatur in 4. leg- menca aequalia, (cilicet A HI G I B, haud dubie a in B, est vE 1. In FI, vE 16. II G, vE 4. In L, VE 1. 27. nempe lumen in I, est ad lumen in FL, ve quadracum FIA, ad guadia- cum I A, idest VE 1. 2d 9. Sed VE9. 2d 1. IF2 16. 2d 1. 3. A vero dini- datur in 8. Ceomenta aequalia; haec exic progrelio 1. L 49. 1. 3. 2, 250 4. 7 g. 16. 64. PROP. L XIV. Puncta luminis sunt heterocenea; ex praetaca progrelsione hoc iplum euinCitUE; nempe (I in B SE tantum ruum punctum luminis, cerre in KL, vel est unum tantum, vel pluras si plura, sinc duo, v. 8. igitur nON Cunc ciusdem perfectionis, cum puncto, quod est in B; alioquin Lumen in B, esec ad lumen in R, VE 1. dc 2. Scd est vE 1. 2d F. 25. PeF prOD. 63.-igicur si Cune plura pum- cta in K, non lunt eiuldem perte- ctionis, cum puncto in B; igieur diverlae; igitur lunc hecerogenca, ve patet, ex tetminis; si vero dica- cur esse rnum cancum luminis pun- ctum, in K, vel est eiu (dem perte- etionis, cum puncto, quod est in B, ret diverla; non eiuEdem, alioquin lumen in B essec ad lumen in IE, VE 2. 2d 1. Contra prop. 63. icitur di- verlae; isicur puncta luminis in diftutione, Cunt hecerogenea e ve- ro ex hac prooressionis ratione, quam lupra demonstranimus, per- spicuum mance, puncta diftusi lu- minis elle hererogenea; verim ve- xo in lingulis punctis Fubiecti (IME plura luminis puncta; iam Cupra P. DROD. LXV. Si axis coni diffusi luminis per aequalia seementa dinidatur, tantum- dem est luminis in uno solido segmen- to, quantum in alio; (IC v. 8. COnuS Luminis AFHI; cuius axis AC di- Fi8. uidarur in 4. Ceomenta aequalia A, Cd, L, NI. C; dico cancumdem esse luminis in cono ABC, quan- cum in FcustO COnICOCBDK, vel DRTE, rel F IFIE; Cum enim eaN- cum se luminis in Cuperkicie FFI, quantim in DK, vel in FI, vel in BC, Per PFOP. 58, 59. _E CUIM EOE (InE Superkcies in ConO ABC, quoE TUNE In FEustO BC DR, EOE LUHE enim huiulmodi Cuperticies, quor lune plana parallela, quibus fecari porest; sed tor lune huinlmodi Plana, quor puncta in aXc AC; 1gi- EUE CIII abLIIMaNEUE LCGIENEA PEX- dicti axis aequalia, cerre quodtiber Feomentum Colidum Eor Habet Cu- perhicies; quor aliud; igieur cum via suxerficies cantumdem luminis hrabeat, quantum alia, quodlibee Frultum Colidum cancumdem lumi- nis habet, quantum. aliud: quod dico de cono, dicendum est de com Ea SphXL2. PROP. LZVL. FTinc dici potest, quanta sit lumi- nis porrio, oltra, vel cirra quamli- bet superficiem sphaerae: v. 8. Cc vtri- ma Cuperticies sphaerae LGFL, sr conus luminis AFHI; Sic quodli- bec punctum in axe coni, puta P; dico portionem luminis qua cst versus Cuperticiem F FI, esse ad il- lam qua eA verSIIS CeNEEUM A, vE PC, ad PA; nempe re collectum Euperticierum versus FFF, ad colle- 25 dictum est, guam, si vis consule. Aum rersis A; FOE Cune enim lu perticies