# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0474 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0474?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 416, page id 779785487:0474 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=474 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000474.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 88 lines, status machine # Lines: 88 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. 41C PFTZSTCF TRACT. IV. postune esse huinmodi linex, quor sime puncta in praetata vlci. ma superticie, igieur rOE LunEra- dii, sc. verum vero sine alii ra- dii praeter illos, qui a communi centro ducuntur, dicemus intraz nunc tancum cenerum illud com- mune supponimus, in quo tora vis lucidi collecta bic, d a quo can- tum radii proticilcaneur. C OR OL L. Flinc omnes radii penerrari cen- PeneuE in cora Sphaera actiuicacis, nisi eantum in vlrima Cuperticic; cum enim supponantur radii ha- bere aliquam laricudinem, cerre in rleima Superkicie radiorum ex- crema puncta, punctis Cubiecti coextenta, ita Cune continua, vE ruum Cic penicus exera aliud; ac vero in reliqua (phaera, versus cen- crum, cum toc Cmeradii, quoe puncta vlrima Cuperticiei, ip(o5 haud dubie radios penerrari, ne- F18. 1. celc est: v. 8. Sic arcus CB vlcima Superticiei, ad quem coc radii cer- inentue, quoc Cune in eo pun- Eta; SE AECUS FHI prioris Cebdu- plus, cerre cum tor radii relpon- deanE aECHI, vel LCCCME AFCU F FI, quorarcum C B, e cum in C B lint continua, ee rantum non pe- BCFFeNEUE, in F HI penerrari ne- cesse est, non quidem adaequate, Sed inadaquare; nam omnes radii adaquaFe FanEI IN CCHETO A DE- netrantur: Ced ex dicendis in- Fra haec penerratio melius incel- ligeTuE. DEOD. LVETI. quantum in FIF, in CD, BC, EC. quia cum cor radii duCanEME Tlinc tancumdem est lominis in uno arcu, quantum in alio; v. 8. per IF, vel duCi CCNSCANEUE, quOF terminantur in BC; e cum enti- eas luminis considererur, ad in- Car proRluuii radiorum; CCTFEFAN- cundem eric in IF, quancum in BC; cogira Ei vis in TF. lumen cOn- tractum, cum idem in FIE, led ex- Plicarius, in BC denique, maxime explicacum. PROP. LIZ. Flinc in singulis superficiebus sphe- rae eade est vel aegualis luminis enri- tas; Duia cum corradii per lingulas duci censeantur, quor ad rlrimam FEFTLIHANELE, CCrtC CUM FadiOFNIM collectio, procollectione luminis accipiatur, idem cerre, vel aequale lumen, in singulis superticiebus elle necesse est. PROP. LZ. TTinc luminis intensiones sunt vE ipsa superficies, permurando: Cum enim in lingulis superticicbus Sphaerae sic aequalis entitas luminis, illa cerre in aequali subiecto, cam- dem luminis incentionem Facie; in maiori, minorem; in minOre, in a- iorem, v. 8. ve cralsore modo iux- ta caprum cyronum, hoc explicem, Cinc 60. luminis puncta, illa (iFO- eidem punctis subiecti distribuan- tur, minimam Faciene incensio- nem; si vero eriginca punctis (ub- jecti, lingulis duo puncta luminis comperene; igirur dupla erie in- TenSiO; Si cantum viginci, eric eri- pla; si decem, excupla; (i demum, virum cancum Cubiecti punctum Ec, Sexagecupla: igieur inrensio. nes Cune ve lubiecta permucando: cancumdem luminis in arcu IF, igicur cum cor puncta luminis aeGuIa