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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 124

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: 0.84.

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

The machine reads it as

  1. LIIIIIIIIIIIIIIII
  2. 124
  3. PFITLOSODETLLE NATDRALIS
  4. Mk X M5
  5. t
  6. ac
  7. rk4
  8. 2kC
  9. vel ut mkZmS ad rk quadratum; hOc eA, (
  10. capiantur dacae quancitares F, C in ea ratione ad invicem quam
  11. habeE angulus VCZ ad angulum V Cp, UE G GE - F F adFF. FE
  12. pFOPTErCa, A centro C intervallo quoris C F vel Cp describatur
  13. Sector circularis aequalis area Fori V P C, quam corDuS F cempore
  14. quoris in Orbe immobili revolvens radio ad cenerum ducto de-
  15. fcripsIc: differentia virium, quibus corpus F in Orbe immobili et
  16. corpus p in Orbe mobili revolvuntur, erit ad rim centrixetam qua
  17. corpus aliquod radio ad centrum ducto Sectorem illum, eodem tem-
  18. pore quo descripta sic arca V F C uniformiter describere poruissee,
  19. ut GC = F F ad F F. Namque Sector ille de area pC k lunt adt in-
  20. vicem uE tempora quibus describunEUr.
  21. Corot. 2. Si Orbis VP X Fllipsis sic umbilicum habens C e AD.
  22. sidem Cummam V; eique similis ec aequalis ponatur EIlipES ut p k,
  23. ica uE sic semper pC aequalis F C, ec angulus V Cp Sc ad anoulum
  24. CF in data ratione C ad F; pro alcicudine autem FC vel pC
  25. Scribatur A, ex pro FIlipleos latere recto ponatur 2R: erit ris qua
  26. corpus in Ellips mobili revolvi pocest, uc
  27. E, R C C+ - R F F
  28. A cub.
  29. _E COntra. Exponatur enim ris qua corpus revolvatur in immota
  30. si
  31. P
  32. EIliBA per quantitatem , et vis in V eric.
  33. CV quad. Visau-
  34. tem qua corpus in Circulo ad distantiam C V ea cum velocieate
  35. revolri posset quam corpus in Ellipa revolvens habet in V,
  36. est ad rim qua corpus in Ellipsi revolvens urgetur in Apside V
  37. uc dimidium laceris recti Ellipseos ad Circuli semidiametrum CV.
  38. E FV: e vis qU_e SIc ad haHC Ut C C - F F ad
  39. adeoque ralet
  40. E F, valet
  41. CVCub
  42. R C C+ =RF F
  43. CV Cub.
  44. : eAtque haec ris (per hujus C Orol. T.)
  45. difterentia ririum in V quibus corpuS D in ENIpSI imMOT V P R
  46. e corpus p in FIlips mobili ups revolruntur. Unde cum (per
  47. hanc PxoD.) differencia illa in alia quaris alcitudine A St ad sC-
  48. A CUB.
  49. in omni alcitudine A ralebit RGC -R F F
  50. A cub.
  51. eadem difterentia
  52. Igicur ad vim
  53. qua corpus revolri porest in FIlips immobili V P K, addatur ex-
  54. ceNTus RGC RFF ex componetur vis tota
  55. A cub.
  56. S F
  57. RC C =R F I
  58. A cub.
  59. qu
  60. WIIIIIIHIIIMIMMIIMSIMIEIIAIIIMIMIIIMBIMIIMMIIIIMIIII MMIIINMIIIMIMIIII
  61. DE MOXV
  62. CORPONVIIUE

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 124. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0158?run=74