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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 399

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: 0.88.

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

The machine reads it as

  1. PRTNTOTDTA MIATTEMATTCA.
  2. 399
  3. ter se in ulrima proporrione Sinuum vel Tangentium angulorum LIVex
  4. contactuum ad radios aequales pertinencium; ubi radii illi in inti- TEx XIVS.
  5. nicum diminuuntur. Atcractio aurem Lunae in Terram in Sy2y-
  6. Sus eA excelus graritaeis iphius in Terram supra vim Solarem
  7. 2PK (Vide Figur. pa5. 594.) qua gravitas acceleratrix Lunae in
  8. Solem superat gravitatem acceleratricem Terrae in Solem. In Oua-
  9. draturis aucem attractio illa est summa gravicatis L unxe in Terram
  10. ec ris Solaris IP, qua Luna in Terram crahitur. Et hae attra-
  11. ctiones, s 2F +CF dicatur N, TUNE uE 178725 2000
  12. 178725
  13. C. T9
  14. 1000
  15. 2Tq
  16. CTXV
  17. de
  18. AZXN quam proxime; sCu UE 17872GN X CF9
  19. 20COATgZ CT d 178725NYX ATg + 100OCFgX AT. Nam
  20. E gravicas acceleratrix Lunae in Terram exponacur per numerum
  21. 176725, vis medioeris ML, quae in Quadraturis eAt F F vel
  22. T R ec Lunam crahic in Ter-
  23. TaM, CrIt 100O, e VIS MC-
  24. diocris ZM in Syzrgiis crie
  25. 3003; de qua, si vis medio.
  26. CriS M L. TUbduCaEUE, mane-
  27. bic vis 2000 qua Luna in
  28. Sy2rgiis distrahitur a Terra,
  29. quamque jam ante nominavi
  30. 2F K. Velocitas autem Lu-
  31. nae in SyZyeiis ec B cA ad
  32. ipsius velocitatem in Oua-
  33. dracuris C _ D, ut CT ad
  34. AZ e momentum arcae quan
  35. Luna radio ad Terram du
  36. eto describit in Sy2ygiis ad
  37. momentum ejusdem arexe in
  38. Ouadraturis conjunetim; 1. C.
  39. UC 12073CF 2d 10973 AT.
  40. Sumatur haec ratio bis in-
  41. verle e racio prior Cemel directe, ec hec curratura Orbis Lu-
  42. naris in Spzyoiis ad ejusdem curraturam in Ouadraturis ut
  43. 1204067297 1787, 25 ATgZC. FgXN = 12040672972000AT99
  44. XCT ad 12261 329X 178725ATgX CTg XN + 1226T2329X
  45. 200OCTggZ AT, 2 c. UE 2151969ATXCTXN 24081 AT cub.
  46. ad 219237 L A LXCT XNV + 1226LC.ZCMB.
  47. Duoniam
  48. 1III
  49. 1
  50. WIIIIIII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 399. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0433?run=74