# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0486 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0486?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 428, page id 779785487:0486 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=486 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000486.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 88 lines, status machine # Lines: 88 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. 428 PFI YSFCAE TRACT. IV. enim AET, aequalis AD, lumen in lumen in BaMFIC, re planum et D, dE FI, aequale est; lumen enim diftundieur rniformiter; Ced lu- inen In FI, est ad lAIIeM iN B, VE quadracum BA, ad quadracum FA; re constat ex dictis; ioicur eadem est rario luminum D, B; p2- ri modo lumen in C est ad lumen in B, ve quadrarum BA, ad quadra- TuI CA, QC. DROP. ZCVI. Tline licet assumantur anguli aquales, qui sustineantur à scemen- eis semidiametri basis, non erit aeque intensum lumen, in segmentis, aqua- les angulos sustinencibus: v. 3. GIC Le- midiameter DB; Pineque anguli DAC, CAB, aequales; haud du- Die leomentum DC minus cs (cg- HenEO CB, licet aegualis luminis portio verique distribuarur; igi- tur lumen in DC intenlius clle, quam in CB, necesse est; in qua vero proporrione, incensius lEs dicam paulo post, res enim sciru digna esle videTMT. PROD. XCVTT. In huiusmodi scemeniis, lumina sunt et ellipses, sub praesatis ses F18. 6. mentis : v. 8. SINED AHI, II AC aequales; sine segmenta balIs DFI, EIC; allumatur AL, xqualis AD; cum AI, aqualis AII; Cineque cO- nI ATTI, ADL, aeguianguli; lu- WiNa In DL, III, erune ve bales. vel area circuloruM, PCKILIEAN- do; aequi si producaneur praetari lipricum EIC, ad circulare II I3 igicur lumen in bali, vel segmen- EODII, ad luteM in EEgIMeNEO HIC, re planum ellipricum FIC, ad ellipricum DFI; quam VerO FA- tionem habeant incer le huiulmo- di plana elliprica, ex geomerria coni, lecenturque a planoDC, haud dubie lectio in veroque erie ellipsis, re pacee; isicur lumen in Dali DL exir 2d lumen in Ba(DFI. Facile definies, sunc enim ellip- VE acca ellipseos DFI, ad arcam cir- tica plana, ve quadrata, sub me- diis proporrionalibus, incer dia- MMCETOS. DROP: ZCVTII. Hinc lumen tantum aeque inien- sum est, in singulis punctis basis, cum illa est portio sphara actiuitaris: v. 8. Sc conus luminis AFFI; POF- tiO SpMREX FOHI; dico in tota hac (15. 2. bali, lumen aque intensum elle; quia lingula puncta aeque distane a CenErO A: praterea altumpris quibusliber angulis aequalibus, illi ab aqualibus arcubus CuSTIMENEUE; igitur aequalis porrio luminis aequalibus subiectis distribuitr; isitur aque intentum cst: hinc omnis radius directe incidens, perpendicularirer plano incidit; hine omnes huiurmodi directe in- cidune; in planum vero rectili- neum, oblique omnes radii inci- dunt, ab Codem CCHEEO, VIIIIS FAIL cum directe incidie, v. g. AMI di- recte incidic in planum LEL, celique vero oblique. PROP. ZCTZ. Basis, cui lumen incidit, sectio quaelibet conica esse porest: Y. 8. sIF conus CAF; S planum collocetur Fig 6. in CF, balIS erir circuluS; S in BE, crit ellipAS; A in BD, par2- bola; (I in BFI, hyperbola; hinc cudi DC; ex lumem in bahi TFI, ad lumen porest elle incenlius, in plano