Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 194

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: 0.90.

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

The machine reads it as

  1. 29
  2. PHITLOSODHLA NATVRALIS
  3. De Morveisulris distantiarum: accractiones acceleratrices in corpora tota
  4. CORPORVM CrunE ut corpora directe e distantiarum dignitaces illae inverse. Vr
  5. si vires particularum decrescane in ratione duplicata distantiarum
  6. corpusculis actractis, CorpOra auTeM SInE UE A cub. e B cuh 24
  7. eoque cum corporum lacera cubica, tum corpusculorum actracto-
  8. rum dictaneix a corporibus, ut ec B: accractiones acceleratri-
  9. CeS In COrPOTA CrUnE U Acub. B cub.
  10. aquad. Bquaa. id CA, ut corporum la-
  11. tera illa cubica A ee B. Si vires parcicularum decreleant in ra-
  12. cione eriplicaca dictantiarum a corpusculis accractis; accractiones
  13. acCClCTAETICES In COrPOTA FOFA CTUNE WE L CU. e B cub.
  14. Acub. Bcub id est, aequa-
  15. les. Si vires decreseant in ratione quadruplicata; atcractiones in
  16. COrPOTA CFUIHE VE
  17. Acub
  18. A99.
  19. de
  20. Bcub.
  21. B9
  22. ea A _ B. EF SC in CxterIS.
  23. id est, reciproce ut lacera cubi
  24. Corel. 2. Onde vicissim, ex viribus quibus corpora similia era-
  25. hunc corpuscula ad se limiliter Polita, colligi porest ratio decre
  26. menti ririum parricularum actractivarum in recessu corpusculi aF
  27. cracti; s modo. decrementum illud sc directe vel inverse in ratione
  28. aliqua dictantiarum.
  29. PROPOSITIO LXXXVIII. THEOREMA XLV
  30. Si particularum aequalium Corporis cujuscunque vires attractivae
  31. sint ut distantiae locorum a particulis: vis corporis totius ter
  32. det ad ipsius centrum gravitatis; es eadem erit cum vi Globi
  33. ex materia consimili es aequali constantis es centrum habentis
  34. in ejus centro gravitatis.
  35. Corporis RSTV particulae A,
  36. B crahant corpusculum aliquod
  37. Z viribus quae, si particula X
  38. Quaneur incer sC, SInE uE distan-
  39. tix AZ. BZ; an particulxe A2-
  40. tuantur inrequales, sint uF hX PaF-
  41. ticulx in dictantias TVaS AZ, BZ
  42. respectire ductx. RE exPONan-
  43. cur hae vires per concenca illa
  44. AX AZ de BXBZ. Jungatur AB,
  45. _ secetur ea in CFuE (IC AC ad B C ut particula B ad particulam A;

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 194. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0228?run=74