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Leibniz-Handschriften zur Mathematik LH 35, 9, 3, fol. 12r

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: 0.81.

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. 13v); this page is its right half.

The machine reads it as

  1. n
  2. i
  3. ai
  4. A, 1.
  5. a 3Cg
  6. C+
  7. pE
  8. R2e
  9. B, 1. C, 1. d, 2
  10. E63
  11. β sit f2. 1A2A sit S2 1B3B 1. 2C3C, 1
  12. id2d. 2
  13. 2D3d2
  14. (E _3 2E3E, 3
  15. ipsis B et D aeteritas respectiva 2B3B = 2D3D = via centri 2k3K = 3K +K
  16. quae erit iBd AL ergo, 2B2d erit 1. Ergo B2K erit
  17. 2B id pro ninilo e 2B1d 2
  18. 3k4 Z est etiam
  19. IKZK e
  20. 2K3K 2
  21. 2B3B5 dBaB = 2 -1 = = 3d40 = 2 + = 3
  22. pro ( tempore 23 issus B corpus 1. celeritas 1 ipsius D corpus Z celeritas L.
  23. debet panere
  24. 34 ipluis B corpus 1 exeritas 3 ipsius D corpus. ebrtas 5
  25. hic eadem manet quantilias motus, quia in eandem plagam eunt ambo ante elpostictum
  26. videamus an verum tempore 23 quantilas motus est + + 1i 1+ 2 m
  27. 2 tempore 34 est 1 in + 2 in 3 = +5 = 6 L 2)) Ergo res sucedit
  28. Etiam potenbia eadem ante ictum seu por erit (i es im 1 +2Di =
  29. tempore vero 34 potentia t in +2 in 2E, = = + 25 = 27 = 3
  30. 18
  31. jam videamus de E sit autem
  32. 2C3C = 1 2E3E = 2
  33. 36
  34. 29+ 2C2q = 2C2E t l
  35. ergo 2C2E =1 +4 = 3 et 2(29 = 5(82-2C3C - 2C24 = 1 - 8 =
  36. 9
  37. 324Z = 4 +q4E = E. in 2 = 10 . Ergo 384E vel 3E+E = 3(141 49
  38. = 14 Ejus dimidium Z crit 424C = E n0 294E, vel 3E4E = 34 49+ 4445- 14
  39. 15 .
  40. 3C4C = 324Q -494C = 4- 8 = - 9.
  41. 2C3C, 1 3CaC = G sit AG) CL 1 - ( 2) = 1+ 2 - 5 = + - f +)
  42. 2E3E.
  43. 3E4E 1 quads dessue 1. 1 = 2. 2 = c - g = 3 post 1. In L 9H E 13
  44. 4
  45. quantitas virim
  46. ante 10
  47. = 9 + = d post - 1. +8 = 6 = 3
  48. +4. 49 - 198 - 11 196
  49. 2. 81
  50. 2
  51. 1. 1 + 4. 39 = 1 1. 6 + L 4. 49 = 2
  52. 198
  53. sint Sunto tres status quos quatuor momenta temporis aequaliter distantia
  54. primum momentum l, quo A, B, C, D, E, sunt in locis iA, 1B, 16, 1d, 1E. age fre
  55. Secundum momentum 2, quo sunt inlocis. 2A, 2B, 2C, 2d, 2E
  56. ertrum momentum 3
  57. 3A, 3B, 3C, 38 3E
  58. intervallum primi et idi momenti tempus 12, secundi et terti. tempus 23,,
  59. quartum mromentum 4 quo sunt iulocis 4A, 4B, 4C, 4d, +E
  60. tertii et iti tempus 34. Quae interololea ponuntur aequalia
  61. jam jam coluputemus quantitatem actionis motricis, cujuscunque intervalli
  62. Actio fit ex ductu effectus in velocitatem. Effectus fit ex corpore in spatium velocitas
  63. dividendo spatium per tempus Computemus jum actionem cujusque corporis tempore 12, et
  64. summam actionum suxamus A habe f corpus 1. spatium hansmssum 1A2A = Y2. fil effectus
  65. f2. velocitas est spatium 1A2A seu 12 divisum per tempus 1. Ergo Ex effectu in belocitater;
  66. fit actio 2 corpora B et C tempore 12 quiescunt nam coincidunt loca 1Bet 2B, et
  67. temloca 1C et 2C sed ms la corpora D et E proventur et Corpus D est Z, ejas spatium ransims
  68. sum id2d est L Ergo effectus 1. velocitas satium id2d divisum per t divisum per tempus 1. Ergo
  69. L actto corpus E est Z. ejus transtatuo spatium transinissum 1E2E
  70. ergo effectuZ: Velolitas est spatiud divisum per + divisum per l. Ergo actio intrix ipsius E tempore 12 est
  71. Actio ipsius d tempore 12 est
  72. na acteo motis tot atestuqoris s AE M 24 5. 4 g- 1eti a .
  73. t - 94. 3
  74. taitomamm
  75. (33

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 3, fol. 12r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068127:0023?run=73