# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0481 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0481?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 423, page id 779785487:0481 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=481 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000481.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 101 lines, status machine # Lines: 101 recognised, mean confidence 0.86 # 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. Y0. pH. sset AM iM re. 18. MO 12 ep53 XCd L IB. II. DE AE TE R A TEOHF. iuxra praetaram progrestionem, in lingulis punctis immediaris; vides in lingulis punctis, versus C al- Cumpeis, duplum luminis etse illius, quod est in puncto ancecedence, immediate versus D, v. 8. V est duplum D; F duplum V; S du- Plum T; Rc. crgo omne punctum conlequons omnia ancecedentia continet, plus vno; V. 9. V COn- tinec D pliis vnO; T COntInCEY, 8 I, plus rno; S Continet F, Y, D, plus vno; ec. rario Facilis est; quia, cum lingula, qua aliis, ab O, rersus D, Ciecedunt, addanE tancum Cubduplum residui, ad MII- merum primo aequalem, r. 8. P addic canciim Cubduplum O; Cr90 aliud subduplum reliduum. Cst aequale P; eum Q addic cancum Tubduplum P, cum caImeM rCCI- duum ipsi P aequale esler, igieur Superest reliduum aquale ; R addic cancum residuum lubduplum Q. cum camen aquale O reliduMm eller: hinc vides addicum esse Peim- Per Tubduplum residui; igieuL OM- nia addica supra O, nunquam ad. aequabune iplum O, ve paret; igi- tur plus est luminis in O, quatm in omnibus simul punctis, versus D; quod crac demonstrandu. DROP. LZXZ. In nostra quogne hypothesi, plus est luminis in peimo puncto, quam in aliis omnibus simul sumoris, cjus dem scilicet radii: Sic enim Ia- dius AB, 8. Punctorum; Scque lu- men in vlcimo puncto B, VE I. CeF- Ee in primO VI, Crit vE 64. in FI, vt 16. acque it2 deinceps, IuXEa nostram progressionem; leaque alTume omnia puncts ab EI, vIquo ad B, Y. 8. 16, 7. 9, 4. 207. dCC. cerre non adaequane 64. id est, lu- men primi puncti N: hoc camen dilerimen e incer hanc prooies- sionem, et geomerricam duplam, quod in hac, secundum punctum 1, v. g. contincar omnia lucce denria, versiis, rlcimum D, plus rno; itemque O, omnia lucceden- tia, plus rno; icem R, S, T, V: in nostra vero progreltione secun- dum EI, non modo non luperac. verum, ne quidem adaequat; Di- ces, igicur si primum punctum CiE TI, non adaquabir omnia lucce- dentia; isicur non luperabit, quod est contra prop. Relpondeo s pri- mum punctum sIE EL, id est 16. ec vltimum 1. certe radius spiraera non crie HTB; sed muleo minor; Ccilicet NL; ve constac ex dictis hoc es 4. BIIMCEOEUI, CuM luI- NA SIME rE quadrata diltantiarum, perimucando; igicur duae diltantia ecunc 1. 4. id est, NIFI, NL;igituE hac erir progressio luminum 16. 4. 17. 1. Quo line polico, Primura punctum 16. ab aliis omnibus si- inul Tumpris non adeguatur: Di- ces; er90 lumina penultimae Cupei- liciei in diverlis (phaeris nOn PUNE Xguali, vel aeque inren(a, v. 8. li a Tumatur rancum PacinS 4. pun- ctorum; penulcimum est 12. CH vero radius lic 8. Pimctorum; pe- nulcimum. elt 123 Respondeo penulrimum pun- ctum lingulare elle, in singulis Ephaeris; nempe plus luminis dicies in spharaminore, minus vero ii maiore, ve constar ex dictis; in quo nulla prorsus est ablurdiras Ced mira natura Facundicas, acque varieras: Dices igitur in prima Tu- perticie sphaerae cancum est luminis: immo plus, quam in rora reliqua Exhaeras