# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0477 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0477?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 419, page id 779785487:0477 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=477 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000477.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine # Lines: 89 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. 18. 3 LIB. TI. DE AL TER A TION EO perticies versus C, quor puncta in SCGIEHEO PC; _E FOT VertuS A, quoF puncta in legmento P A; igituE collectum fuperkicierum, ad colle. Etum, VEPC, ad PA; sed porriones luminis Cune ve praedicta collecta, cum in vna superticie cantumdem SE luminis, quantum in alia; igieur dici porest ec. PROP. LXVFF. Si lucidum esset tantum enum punctum, tancumdem esset locis in illo quantum luminis in tota sphaera, salcem aegninalenter; Ouia cum cau- Ia necellaria cum estectu (IE PFO- porrionara; vel producie effectum minorem, vel maiorem, vel aequa- lem; Ei minorem, ergo vel lubdu- plum, vel luberiplum ac. si maio- rem, ergo vel duplum, vel cri- plum, ac. nihil horum dici porecti cur enim rnum potius quam aliud; igitur equalem producie; igieur cancumdem est lucis in caulas id est in praedicto cenero, guancum lu- minis in peaedicta (phaera, dixi equi- valenrer, quod Facile incelligitur. PROP. LXVIII. In praesatis frustis solidis coni se- cti; luminis incensio aqualis non est, licet luminis porrio aequalis sit: Y. 8. SIE COnUS AFHI, lic FruCtuMBCKD; cexte lumen in D K NOn est vela- ien in BC, cum lumen in BC; SIE ad lumen in DR, VE quadFaTUI L A, 2d quadrarum OA, PeF PrOP. 62. perimutando; v. 8. incensio coni ioitur in diverss parcibus fructi Pradicti, luminis intentio inae qua- lIS eA, DE PaFCE: SI Eaen in LIHM- lis Frusti parcibus aequalis intensio supponatur, dici porest quanam proportio intentionum sIC; CrUNE AB C etter ad incentionem frusti BCDK, ve hoc Fructum ad illum conum, idcA ve 7. ad 1. Sed Cum incensio in lingulis parcibus ejus- dem Fructi aequalis non siE, Frustra in his Fructis haeremus, pralerrin cum plura e plura fere in infini- cum Frusta accipi possine. PROP. LXIZ. In ipsa luminis disfusione, decres- cit lumen in ipsoradio, salrem aequi– nalenter, versus extremam superfi- ciem sphara: Sic enim (phALE Fa- dius AB. Cnr octo legmenca a qua- Fig. 5. lia, de quibus iam Lu∞FA N, EL, MI, C, _c. Sicque in N, lumen ve 64. in FI CTIE VE F6. IN MI 7 =. XC. Per PrOP. 63. igieur decrelcie in Fa- dio A B versus B, id es verlus extremam Cuperticiem sphaerae; dixi in radio, quia in Caperticie non de- crelcie porrio luminis, cum in Om- ni Sphaera Luperticie aequalis (IEi decrelcir tamen in ipta Tuperficie incentio, in ea scilicet proportio- ne, in qua crelcir una superhcies. Cupra aliam, re patet ex dictis; in radiis vero decrescie porrio lumi- nis, de incensio; veraque scilicet in eadem proportione. PROP. LXZ. Decrementa illa sunt maiora ini- tio, id est inxta centrum sphera, mi- nora versus finem, vel extremam superficiem spharae; assumpris scilicet seomentis axis aequalibus: Sic enim idem axis AB, vesupra, scque lu- men in 164. in EI, 16. II M. F. in C, 4. In L, 2. 27. _c. decremenrum primum eAt 48. cum Sr difterentia 64. ∞ 16. Secundu enim incensiones ve ipla fructa, ett 8. 3. rercium, est 3. 5. vides 5C3 quIar