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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 62r

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: 0.80.

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

The machine reads it as

  1. ter m
  2. icun
  3. Mori
  4. eibur
  5. ifor
  6. et a
  7. Mrep
  8. Mo
  9. hant
  10. de
  11. prio.
  12. sed
  13. ribat
  14. res
  15. II.
  16. les
  17. is
  18. a
  19. impo-
  20. ni
  21. ormis
  22. ja
  23. Sert. 11. Cap. 3. De Delocitate in Motu eto
  24. s
  25. n qta aquandus temporibus DE, Et, spatia describuntur
  26. 7
  27. naequalia, 2. AdA et dA4 A; idemque ett in Sd; L. E. propositum.
  28. CAP. III.
  29. ECLOCISASE IX MosY AE QVIDISFLIBVTO.
  30. Ai
  31. Vo
  32. Sef. 1. MMoSV AQALIFER DISSR 1BVYO MovE-
  33. e
  34. suae, cujus punctum lineam describit linea à quovis ejusdem
  35. mobilis puncto eodem tempore descriptae aequalem. Diamus
  36. C
  37. et rM AE, QViDISF NBVTVM.
  38. Veluti si
  39. Fig. 18.) Mobile ABCD transferatur ex loco
  40. 1B1C1D per 2A2B2C2D in 3 A3B3C3D, et punetum ejus D
  41. describat lineam 2B2B3B; tunc. si motus sit aqualiter dictri-
  42. batus, aliudque ejusdem mobilis punctum quodcunque C describat
  43. lineam 1CL C3C, aequales erunt linea 1B2B3B, et 1C2C3C.
  44. Et vicissim si aequales reperientur panitorum mobilis quorum cunque
  45. linee eodem tempore descripta, motus erit aequaliter disrri-
  46. butus.
  47. Def. 2. DELociTAS IX MosY AE QVALITEK DIS-
  48. 3.
  49. S1BYTO est affectio mobilis quae proportionalis ett linea
  50. quam describeret punctum mobilis, si motus per datae magni-
  51. mahnis tempus hac endem mobilis affectione retenta conti-
  52. s
  53. nuaretur. Eadem autem manet, si idem punitum aqualibus
  54. temporibus aequalia describat spatia
  55. sit (frg. 19.) mobile AB, cujus motus 1A1B3 3 A383 sit
  56. in
  57. aequidistributus, ita ut lineae 1A2A3A, et 1C2 C 3C a duobus, pun-
  58. etis quibus canqu mobilis A et C deseripta eodem tempore s sint
  59. pepa
  60. inter se aequales. Et velocitas mobilis AB dum transit per lo-
  61. eu vertigium) 1ArB sit V. Hanc ita actimabimus:
  62. = formolis, seu ex solo molu in existens.
  63. cum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 62r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0125?run=74