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Leibniz-Handschriften zur Mathematik LH 35, 9, 7, fol. 22v

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: 0.83.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 23r); this page is its left half.

The machine reads it as

  1. Generaliter
  2. seu Jonntitas progressus major est in easdem partes
  3. lendit na centro gravitatis. Sis a
  4. Ex 1. sit
  5. Ex 2 fit
  6. avv+ bgu= a XX + l
  7. divid. 3 per 4. fit
  8. Cx 5
  9. 2
  10. av +by = ax
  11. a vv- XX
  12. a v-X
  13. vex
  14. v- y
  15. propressus
  16. 3
  17. b 27- 9y
  18. +
  19. = b 2-y
  20. (5
  21. 0
  22. y+
  23. L
  24. 2Z
  25. ZEX.
  26. per reg. 3
  27. par reg. 2
  28. comis
  29. quodcante ictum
  30. in caidem partes
  31. fendit cutu centro
  32. rom vircamus
  33. qalterum
  34. Est Reg. 1.
  35. Corponis a celeritsapte ictum V pest ictum X
  36. Progressus cum.) corporis a aute ictum V post X
  37. centro gravi. 5
  38. a
  39. quod si quod corpus moveatur in partes centro gra-
  40. tatis
  41. vitatis; vel praevalenti directioni ontrarias ejus
  42. quidem
  43. litera explicanda est per numerum ceter graduum
  44. celeritatio, sed praefixo signo
  45. sit jam a e
  46. videamus jam an super idem corpus eodem
  47. modo ante genisum motum, diveria idem efficere
  48. possint nonantur contenti autem simus aequs. 4 et 5
  49. cum caeterae inde sequantur et ponamus dari b, y, Z
  50. quaeri a et v eaque diversis modis. per ag.5
  51. est v = y+7 - X, et per 4 est v = b: a Z- y + X
  52. per 7et8 sit b: a y+Z- 2X, : Z-y. Ergo fiet:
  53. a b y-g: g- 2X+Z. Unde patet infinitis modis rem
  54. posse praestari prout variatur sec vniamus ad exemplum.
  55. 1 fiet v = y + 1- Y a = 4. 1-y. 9- xt1
  56. (12)
  57. 11
  58. 12
  59. si ponamus XL0 fiet v 9+1 et q 4. 1-y: 11y unde
  60. sit b-4. Z=
  61. si sumetur y= 1.2 tt et X = 0 tiet vB. 2, et a= 4: 3
  62. B
  63. itar corpus 413 celeritate 3. 2 et corp. 4 celer. 1. 2 tendant in catdem
  64. pertes, tncu enst ccursom corpus 4:7 quiescet et a verget.
  65. celericate 1 Rursus retentis aega 1t 12. 18 sit X - 1.2 fiet v=
  66. et a=4. Hoc est si corpus 4 celeritate 1I, et corpus 4 celeritate 1.2 ten-
  67. dunt in ensoen partes, post concursum compus proa illud perget celeritati
  68. 1.2, hoc celeritate ut 1. E ∞ quo exem

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 7, fol. 22v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068131:0026?run=73