# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0480 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0480?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 422, page id 779785487:0480 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=480 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000480.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 86 lines, status machine # Lines: 86 recognised, mean confidence 0.91 # 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. 422. PE ZSTOK T R A CT. IV. mutata lucidi incensione, spherae luminis rlcimarum superficierum actinitatis erunt vr intensiones lu- sine ve iplae Cupertcies; e cum cidi: Probatur quia cum effectus HnE DE CaULA, PCF 2Z. CONIHHC, ee cum effectus luminis sine in eriplicata radiorum; icemque sphaerae, in eriplicara radiorum; Cerre effectus luminis, ve sphae- ras esse necelle est; led effectus luminis lune re incentiones luci. dorum, poliro quod caneum pun- aum EE, re pacet; igieur sphae ex activitaris lune ve ipla incen- tiones; hinc sic lucidum pun- ctum A; sic aliud B, duplo in- ten(IuS; Sphaera B est dupla A; Si vero uc eriplo incensius, eri- pla; st quadruplo; quadrupta, eic. DROP. LZXVI TTinc diametri sphaerarum sunt En ratione subtriplicata intensionum: Ouod Facile probo; quia cum Ephaera Cine ve incensiones, ee vicissim, cerre cum radii (INC in Luberiplicaca sphaerarum, erunt quoque in luberiplicata inten- SiOnum; V. 9. SI IITen(IO B SIE Octupla alcerius A,. diaCTEF sphaera B, eric dupla diametri Sphaerae R; si vero incensio B (E dupla, vel quadrupla, inter dia- metrum A, e duplam line dux inc. dix proporrionales, minor, erie diamerer dupla; maior vero, qua- drupla, ec. PROD. LZ ZVIL FIinc lumina, in prima supersi cie sphaerae, sunt ut oltima suxer- ficies: Polito quod cora vis lu- cidi in centro collect a eAe LupPo. macur; PEObREUE quia Cum POETIONES aequales line, in omnibus luper- fciebus eiuldem sphaerae; deni- que cum lumina aequalium (u- perhcierum Cine ve portiones lu- minis, quod ipsis inest; cumque Prima Cuperticies cuiuluis (phae- a aqualis sc, polito quod eo- ta vis lucidi in cenero collecta (IF; certe lumina in prima Cuperticie, Cune ve portiones luminis, igieur ve rlcima superticies.. PROP. LXZVIII. In medio densiore, idem luci- dum contractiorem habet spharam: Ouia cum cumdem effectum idem lucidum producar. line in den- liore, siuc in rariore medio; nempo caula necellaria agie quan- cum porest; ec cum in densiore medio contracto, FOE LInE PAE- tes Cubiecti; GNOE In FATIOTe ex- plicato; denigue cum cadem lir- minis porrio coridem parribus Cubiecti distribuaruE, VE PateL; cerre contractiorem luminis (pha- ram, in dentiore medio, ab co- dem Scilicet lucido, elle necesse est; Sed de diffusione lucis, in diversis mediis, lib. Pequenti; ex protetso asemus, cum de retra- etionibus. DROP. LXXIZ. Si lumen diffunderetur mata pro- pressionem geomerricam duplam nu- merorum 1. 2. 4. 8. 16. C. plus esset laminis, in primo pancto, Guo in reliquis einsdem rady: Sic enim racius CD; Centrum C, exIrC- Fi8. 3. mitas D; sic lumen in vlrimo PUNCtO VET. TI VE 2. EUIIM VE 4. Cum YE8. acque ica deinCepS, IIIXCA