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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 186r

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: 0.77.

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

The machine reads it as

  1. eut
  2. suit
  3. N N
  4. liguit
  5. nunit
  6. qua
  7. 6o
  8. H, it
  9. G,1
  10. F paY
  11. equal
  12. 1
  13. 21
  14. e et
  15. DA
  16. Dt
  17. Sect. V. Cap. 2. De Motus Directione etc.
  18. erit et recta 1E2E rectae 1D2D aequalis; itaqe congruero pos-
  19. sunt puncta 16, 26, ipsis. 18, 2D, et punctum quoque aliud quod
  20. cunque ut A puncto respondenti G simul congruete poterit,
  21. ad eoque linea lineae.
  22. Prop. 17.
  23. Si puncta quoteunque moveantur nrectis parallelis
  24. etiam centrum gravitatis eorum (nisi quiescat) movebitur
  25. M2
  26. i
  27. ecta ipus parallela; et, si motus punitorum sit praterea
  28. unitormis vel momnibus proportionaliter acceleratus autr
  29. datus; tunc etiam motus centri gravitatis erit talis
  30. Funitum A (Fig. 15.) feratur m recta AA, et punctum B
  31. C
  32. im recta BB priori parallela; Ajo et centrum gravitatis eo-
  33. lad
  34. rum Cferri in recta Cen eaque prioritus parallela.
  35. Ut si eodem tempore respective sint A n 1A, 2A, 3A, et
  36. il
  37. S in 1323, 3B, et C in 1C, 2C, 3C, sitque AA A et BBB recta,
  38. erit et CCC recta. Patet ea eo, quod recta CC parallela duabus
  39. AA et BB secat quascunque rectas AB inter has duas interce
  40. -
  41. ptas, ut 1A1B, 2A 2B, 343 B in eadem ratione datu. Ducantun
  42. enim per B parallelae inter se BE, hae utiue secantur a recta
  43. a
  44. CF in eadem ratione data in H; jam per leandem rectam es
  45. secatur A
  46. D
  47. mC, ut AE in H; Ergo ut omnes BE secantur n
  48. eadem ratione m F, ita et omnes AB. secantur in eadem ratione
  49. mC. Jam centrum gravitatis C secat AB etiam m eadem rati
  50. one, cadit ergo in rectam CC parallelam iptis AA et BB.
  51. L
  52. Quod s (Fig. 16. et 17.) puncta A et B moveantur motu
  53. uniformi vel saltem proportionaliter erescente, seu sit 1A2 A
  54. ad 1A3A, ut 1B2B ad 1B3B, tunc ductae rectae AB (ut 1A cd,
  55. 2A2
  56. 33
  57. 3o 31) concurrent in puncto G; ett igitur et 1C2C
  58. s
  59. ibi
  60. gido
  61. ne
  62. n
  63. mgu
  64. tes
  65. D
  66. aMo
  67. Cd
  68. E
  69. exit
  70. 161.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 186r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0377?run=74