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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 200

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: 0.87.

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The machine reads it as

  1. 20C
  2. PHILOSOPHLLE NATORALIS
  3. PROPOSITIO ZOII. PROBLEMA ZIVI.
  4. Dato Corpore attractivo, invenire rationem decrementi virium cen-
  5. tripetarum in ejus puncta singula tendentium.
  6. F. Corpore daco Formanda est Sphaera vel Cplindrus aliare Rou-
  7. ra regularis, cujus lex actractionis, cuiris decrementi rationi con-
  8. OrvenS (PeF PFOD. LXXX, LXXXT, _E ZCL) inveniri potest. Dein Fa
  9. etis experimentis invenienda est vis actractionis in diversis dictan
  10. ciis, ex lex accractionis in torum inde paretacta dabit rationem de-
  11. crementi virium partium singularum, quam invenire oportuit.
  12. PROPOSITIO ZOIII. THEOREMA XLVII.
  13. Si Solidum ex una parte planum, ex reliquis autem pareibus insimi-
  14. tum, constet ex particulis aequalibus aequaliter attractivis, qua
  15. rum vires in recessu a Solido decrescunt in ratione potestatis cu-
  16. jusvis distantiarum plusquam quadraticae, vi Soliditotius cor-
  17. pusculum ad utramvis plani partem constitutum trabatur: dico
  18. quod Solidi vis illa attractiva, in recessu ab ejus superficie pla-
  19. na, decrescet in ratione potestatis, cujus latus est distantia cor-
  20. pusculi a plano, es Index ternario minor quam Index potesta-
  21. tis distantiarum.
  22. Cas. F. Sit L CL planum
  23. quo Solidum TerminAEUr.
  24. Saceat Solidum aurem ex
  25. parce plani hujus versus
  26. T, inque plana innumera
  27. mrMnLN, ec. IPACF
  28. Parallela FCSOIVaEuT. EF
  29. primo collOcetur COrpUIS AE-
  30. tractum C extra Solidum.
  31. AgatuE aurem CGTL Y DIa-
  32. nis illis innumeris perpendicularis, e decrescant rires aetractirae
  33. punctorum Solidi in ratione potestatis distantiarum, cujus index sit
  34. nUCTUS N FETNATIO NON MINOT. ErgO (per C OrOL. 3. PFOP. XC)
  35. 11o
  36. Lp.
  37. DE NOTV
  38. CiORPOROM
  39. b
  40. mamnt

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 200. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0234?run=74