# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0475 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0475?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 417, page id 779785487:0475 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=475 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000475.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 96 lines, status machine # Lines: 96 recognised, mean confidence 0.87 # 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. a d. d0: piS uo t S L1. DL ALYBRATTONL. aequinalenter uni superficiei sphxe- ex dictribuantur, quot alteri, cer- Ee IMFen(IOneS CrHIHE DE ipCX SU- perticies, permutando; dixi aequi- ualenter; quia lingulis tantum punctis subiecti, lingula luminis Duncta inlune, Ccd heterogenea, ita ve illa, quae uni Cuperticiei in- lunt, illorum perfectionem adxe- quent, qua alceri maiori (cilicet, vel minori intUnE, per PFOP. 59. ioirur luminis incentiones TUInE VE iplae Cuperticies (ph_erX PerIU tando. Luminis ab eodem contro pro- pagati incensiones sunt ut bases co- norum, sub eodem angulo, permu- tando: Sic enim centrum luminis A; (IE COnUS A F FI, cuius balis diameter (IE FHI; Sc erIaM COMUS DAK, Tub eodem angulo, cuius diameter balis sF DK; dico lumen in DK, esse ad lumen in FHL; vE balis FFI, ad balim DK; quod pro- b0-; duCantUr eniII AECUS FFL, DK, CCHEFO A ; CeFEE DK CA ad F FI, VEDA, ad FA; arcus ScilicCE pFO- Porrionales, ve circuli; de hi, ve radii; _ hI: VEDR, FHI; volua- FUIT LCCEOE FATT, CIECA AXCI A Cr, FOCEEFFT, _ DK, describune cir- culos; aecus vero DLK, FGHI, porriones luperticiei (phaera, qua lunc in rarione pexdictorum circu- lorum, VE Paret ex gcomerria; PEx- cerea ve se haber porrio, quae nalci- FHE CX MOTU AECUS FHI, ad cam, qua na(CIEUE eX MOEU AECUS DR, ica se haber Cuperticies (phaerae, Cub eadio AF, ad Cuperticiem (phXFE, Tub radio AD; porciones enim proportionales TunE VE FOEX CupeF- Acies; igiTUE Cum IIFENSIONES LIME oi. L40 ve Cuperticies, per prop. 60. TunE quoque re porciones proporrio- nales s igirur re bales conorum, permurando. DROP. LZ II. Lumina (unt et quadraia distan- riarum permutando: Y. T. TIE COnUS luminis AFEI, Sicque lumen D H. d lumen FFI, _ distanrix a CCHErO A3 AD, AF; dico lAMIeN DK, essC ad luten FFI, vel incensionem lu- minis DK, ad incentionem lumi- nis FHI, ve quadracum distanciae AF, ad quadracum distantix AD; quia cum lumina sine ve bales co- norum, Cub eodem angulo, per DFOP, 61. Cerre LUen DR crit ad lumen F FI, ve circulus TuDFFI, ad circulum (aB DK; Sed vE cir culus (uB E EI, ad circulum (ub DK, ica quadrarum (ub FFI, 2d quadrarum Tub DR; Cune enim circuli re quadeara diamcerorum; aequi ve quadratum (uD FII, ad quadiarum (uD DK, ica guadca- tum CUb F R, ad guadratum Cab D A; TUnC eniM FFI A, D R A proporrionalia; igieur lumen DR esF ad lMmen F FI, re quadra- cum dictantia AF, ad quadea- cum distancia AD; igicur lumina Fune ve quadrara, vel in racio- ne duplicaca distanciarum, permu- tando. PR OL. L. 2LLL. Flinc habetur prooressio diffusionis luminis, in quolibet radio: Sic enim radius AB, cencrum lucidi, a quo Fig. 3d incipit, A; nempe hic Cuppono co- cam vim, in eodem centro ellé collectam; sic extremitas radii. B; diuidacur primo in duo Ccomenta aequalia AC, CB; lumen in B, est C3 15. 2. FLOF. LZI.