# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0479 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0479?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 421, page id 779785487:0479 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=479 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000479.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine # Lines: 90 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. 13 153 0 L 1B. II. DE ALYER ATTOHE. Elinc facile quoque determina- tur diameter sphaerae: Cum enim tora vis lucidi adaequet tocum lu- men productum, hoc est torum collectum Cupeticierum (phXEX; cerre lumen dererminata perte- ctionis, quod vlrimae Cuperhciei inest, in maiore, vel minore tu- perticie, producieur, quarenus maior, vel minor est ris lucidi: nempe quando in maiore produci- cur, maior est in illa luminis porcio, _ cum in lingulis Cuperticiebus aequalis sic, inde cerre maiorem effectum esse necesse est; qui scili- cer maiori caulx comperie; quan- dovero in minore Tupecheie lumen illud decerminata perfectionis producitur, minor estillius portio, e cum aequalis porcio sic in reli- qnis Superticiebus, CfeCTuS nCceI- Pario minor est, qui minori caula responder; Led maior effectus lu- minis, maiori sphaera distribuitur; minor vero, minori; & Sphaerx ma- ioris, maior dianerer est; e mi- nOc, minoris; igitur ex maiore. vel MinOre eFectu, aiOE vel MIHOE Sphaeras maior vel minor diamerer SegnieuE: _ dexerIHAEUE. DROD. LZ Z FI TTinc effectas luminis sunt in ra- tione composica vlrimarum superfi- cierum, es semidiametrorum sphae- rarum, quibus scilicet lumen diffu- sum distribuitur: Hac propolitio TOn FOrte inTeF vltimaS repOneN- da esse videtur, et aliquid Habet, quod cam commendet; sIC auEeI cam demonstro: lumen in vltima Tuperticie, Auc HXC MaIOI SE, CI. ne minor, est eiuldem decermi- narx perfectionis, per PFOP, 7L. isicur luminis porriones in vlri- mis luperticiebus, Cune ve iplae Cupertcies; porro in lingulis su- perlciebus ciuldem (phReER, TUNE aquales luminis porriones, per Prop. 59. cor demum Cune Cupech- cies in qualibet (phraera, quor lune puncta in axe, vel radio, vel se- midiamerro; ioitur eRectus lumi- AIS, Sihabeacur rantum cacio cniu- Aiber Cuperticiei, lunc re iplae vlci- mx Cuperacies; h vero tantum ha- bearur ratio molis sphaera, vel numeri superkcierum, Tunc ve ip- si radii; E vero reciulque racio trabeatur, Cune in compolica ca- diorum e vlcimarum Cuperticie rum: V. 8. Sc Sphaera luminis A, cuius radins AIE VE 3. X (phX- Fa B, cuius radius sIc vE 2. Patio Superticierum cst 2. est enim du- plicaca rarionis diametiorum, ve Pater ex geometria; ratio radio. rum est =. igitur compolita erie . Ioicur eRectus luminis (pHXTA A, est ad effectum luminis (phXEX B, VE 270dd8. DROP. LZZ IY. Hinc effectus luminis sunt in ra- tione triplicata diametrorum sphae- rarum: Cum enim sint in Compo- Sica rlcimorum superticierum, et Fadiorum, per prop. 73. d cum lu- perticies sine in duplicata radio- rum; cerre compolica ex duplica- ta, de simpliciradiorum, est corum- dem eriplicata, ve Parer exrerIIIS idem exemplum, E ris, adhibe. PROP. LXZV. puncto, tota illuminatio procedat. 568 MHtata DROP. LZXII.