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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 51v

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: 0.79.

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The machine reads it as

  1. AC
  2. Sert. 1. Cap. 4. De Ductibus
  3. ldum ABCD quod gyratur cirm anem 2E; quantur ejus m
  4. C
  5. petus seu quantitas ipsa motus, quae est quatuor dimentionum,
  6. si solidum uniformem habeat partium gravitatem. Jam per
  7. O
  8. Le axem transeat planum LEf et circa 2e deseribantur quol
  9. libet superficies cylindrorum rectorum quorum hu ett axis,
  10. qualis superficies ett GA1KML, secans planum m LM, et so-
  11. Udum portione sui IKML. Cum ergo omnia sectionis JLML
  12. puncta sint ejusdem velocitatis; sumantur quot superficies cy-
  13. lindricae, tot rectae M. N im ipris LM (si opus. continuatis) ad eas-
  14. dem partes applicata ad rectam AM, et rectae utae M. N sint
  15. in compositâ ratione sectionum solidi et velocitatum quas
  16. habent sectiones (cum eadem sit in quovis sectionis ejusdem
  17. puncto velocitas) adeoque impetui cujusa sectionis proportio-
  18. uales. Idemque
  19. s
  20. L
  21. motus proportionalem, ita ut portio ejus AN M sit ad totam
  22. 1
  23. AND, ut impetus pontionis a superfieie cylindrica abse-
  24. AB)C
  25. a 6
  26. a 51
  27. etae, AddcKML, ett ad impetum totius solidi. Et similiter
  28. ut figura AN Sd et ad figuram aliam secundum aliud soli-
  29. dum eodem modo factum, ita erit impetus solidi hujus AB-
  30. CD ad impetum soledi atterius.
  31. Def. 5. AdpLICATrM Sos
  32. ius
  33. ed
  34. DEM NoMI
  35. NIS ADPLICATIS CONSTISUENTIM RLSULTANS est id
  36. quod absolute ductum m totum tantundem. efficit, quantum
  37. actum ca omnibus ejusdem nominis m constituentia or
  38. dinatim duitis.
  39. 5)3
  40. gentoque composita, cujus partes viciniores caetremo B sint gravio-
  41. res, plusque auri habeant; ita ut gravitates specificae crescant
  42. in
  43. 38
  44. fa
  45. tut
  46. N
  47. tut
  48. B
  49. no
  50. ag
  51. dit
  52. gr
  53. du
  54. a
  55. tet
  56. du
  57. ex
  58. et
  59. Ca

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 51v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0104?run=74