# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0497 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0497?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 439, page id 779785487:0497 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=497 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000497.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. L1B. II. DE AETERA PIOHE. quor sunt in vlcima; sed cadem ta- rio eltevidetur, cum lumen à lu- cida Sphaera diftundieur: R e(BON deo elle maximum discrimen, quia radii quoquoucisum duCUnTUI, aF- que intinici propemodum de cultaneur, in lingulis punctis me- diarum Cuperticierum, nec vilum centrum commune cA, a quo Possine accipi Cupertcies, ve acci- dic in primo calu; ac proinde non 15. 12. ralet paricas; sic enim v. 8. Cphx- xalucida A, allumatur punctum B. Inegue radii BAI, BL, BI, BV, BZ; vides omnes esse inaequales; nec ex cenero B, pollune accipi arcus, in quibus lumina sInE aque inceI. Ta, VE Patet; nempe in aEcu dL Y. 5. Icem in B7, OY, HIX, ecc. lu- mina Cunc aeque incenta; sed cen- erum iltorum arcuum non est pun- ctum B, nec vilum aliud Cuperti- ciei sphaera lucidae: Pexeterca cuin ab eodem cencio cora vis lucis collecta agir, rnus radius alium non promonet, secus accidit in hoc calu; v. 9. BV non eNec adco longus, nili ab aliis radiis promo- verecur, qui ab aliis punctis pro- Fecti, cum hoc deculantur; igi- eur nulla est PariEaS, Cx quO PIO- polica disticultas loluta MaVCE. PROP. CZZ VI. Si data sphaerae lucida collecta vis, ab eodem centro acere supponatur, in superficie immediata, maiorem vim luminis producit, quam eadem. in sphaera lucida: Cum enim vis. collecta egac in maiorem distan- tiam, quam eadem dilperla, per PrOP. 123. e cum lumina in viti. ndis superticiebus, inc aqualia; (IE Eir. 16 vis collecta in A, sicque radius sphaera actinitaris AC CCNCE lt men in puncto iuXra A, v. 9. in LI, es ad lumen in C, ve guadea- cum torius A C, ad quadrarum AEI; AE cadem ris lucis in (pHaEA lucida AB, Reque distancia, intra quam Cuum lumem diffundie BC; sic punctum L iuxca B; CInegue AII, BL, aequales; cerre cum lu tven in C, tic ad lumen in L, VE quadratum BC. ad quadracum BL.; e cum in C Cc aeque incensiir, Sve AE Terminus Sphara actiuira eis (phaera lucidae, SinC exrremi- tas Sphaera actinicacis, vis lucis in cenrro collecta; igitur cum AC, AE MaiOEBC, CA IMaIOEPEO- porcio luminis, quod inest pun- eto HI, ad lumen in C, quam lu- minis L, ad humen C; igieur in Puncto HI, est intenlius lumen, quam in L, quod erat domonstran dum. P ROP. CXKVII. In hac eadem hypothest, maior est luminis porrio, in superficie sphe- rae, quae ducitur per L, quam in ea, quae ducitur per : Iam porcio luminis qua inest Cuperticici, du- etx per punctum EI, Cs re planum circulare, aequale vlcimae Cuperti- ciei sphaera actiniraris, qux duci- EuT Per C, ve pater ex dictis; (ect portio quae inest superticiei ducta per punctu L, est ve circulus, leu planum ciiculare; quod est maiis ylrima Cuperhcie; nam LAMIna II L, X in C, lune re luperficies per- nucando; a portiones luminis; quae inlune superticiebus ductis DeF L, _ C, TunE In PAEIONC COM- polica luminum, et Cuperticierum; AE V. 8. BL Z. AB, vel BO; lEque A T,, 7. _E A C 30. Pario TU- perticierum ct 300. Fatio tumiii u