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Machine transcription of the Leibniz Nachlass

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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 257

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.91.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. DRINCIPTA MATETEMAEEI
  2. continue provortionales.
  3. Rerolutionum rerO FEMDOTA CrUNE UE SECVRvOSI
  4. ctionibus distinouer Radium AS in partes AS, BS, CS, DS, _C. LIBEM
  5. perimetri Orbitarum AF. B, BFC, C G D, _cc. directe, de reloci
  6. caces in principiis , B, C, inverse; id CA, ut S2, BS2, CS2. AL
  7. que cempus eorum, quo corpus perreniet ad centrum, erit ad tem-
  8. Dus rerolutionis primae, uc lumma omnium continue proportiona-
  9. lium ASE, BSE, CS2 persencium in infinitum, ad terminum pri-
  10. mum A52; id eAt, ne terminus ille primus A5+ 2d differenciam du-
  11. orum primorum AS2 =BSE, sive uc Z AS ad AB quam proxime.
  12. IInde tempus illud torum expedite invenitur.
  13. Corol. 8. Ex his eriam praeter propter colligere licet motus cor-
  14. Porum in Mediis, quorum densitas aue unitormis est, aut aliam
  15. quamcunque legem astignatam observat. Cenero si intervallis con-
  16. tinue provortionalibus SA, SB, SC, ecc. describe Circulos quot-
  17. cunques ex Ratue tempus rerolutionum inter perimetros duorum
  18. quorumris exhis Circulis, in Medio de quo csimus, esle ad tempus
  19. rerolutionum inter eordem in Medio propolico, ue Medii proxo-
  20. liti densitas medioeris inter hos Circulos ad Mediis de quo egimus,
  21. densicarem medioerem inter eoldem quam proxime: Sed ec in ca-
  22. dem quoque ratione ese Sccancem anguli quo Spiralis pexetinita,
  23. in Medio de quo csimus, sccat radium A5, ad Sccancem ansuli
  24. quo
  25. IIIIABPIAIIIMIIIMMIIIII MIHIIMMIII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 257. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0291?run=74