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Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5, fol. 49r

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: 0.76.

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

The same scan as fol. 48v (00068534:0096), where its text is given.

The machine reads it as

  1. Ex coptanda les celeulits lats
  2. qua labentes ipso 23,
  3. et
  4. dia umus
  5. eccurrat extremitatibus vicinis
  6. e
  7. 1nemi
  8. erpe tipsi 3, et
  9. Eauli tt e stiteri
  10. duabus extremitatibus
  11. ad
  12. d
  13. X2
  14. te
  15. a e
  16. Nh. Hic exemplum a culandi
  17. infinite parvas ds
  18. nit
  19. 25.. 23
  20. u
  21. in
  22. omanentes,
  23. lineam connecten qi sat Algebraica
  25. i
  26. ea B q isper dari ex A4 et 45
  27. debet 23 transferri in H12 et 12.13. in
  28. 1131. (13) et 23 22. 23 in (3). (14)
  29. sit A4 X et ∞ Fx
  30. sit A1, vel A20 X et 1020, vel 2030, et
  31. sit Ex, ponamus 45 dari, ex X et dx, similiterque 23 id
  32. est inte rrapta sautur ex continuis. jam ipsa interrapea sunt
  33. jungenda inter se quoritur relatio constans inter A100, et 10(11
  34. A2022081 1 1 300 127 et c. sit 4300 Vel A. 200. sit _Z
  35. et 100. (11) sit quoritur cotulio inter Z et V. hansferneur
  36. ergo (2. 3. ulcunque in (11) (12) eiq adjungatur 12. 13 anguli
  37. (17 (17. (13 quocunque. Ex assum ts 100(11) et 100. 200, et 200. 300 dalisu
  38. magnitudinibus ipsarm (y(iZ, et. 12 ) 13) hoc est ex A ek 45
  39. A 10 et 10. 20, item eodem modo ex A20, et 20. 30
  40. positione puncta (1.. (2, (13) Ergo dubitur A300 per = 10d
  41. seu Z+ dx et A300 seu lZ) = Z + dx + 1d7)
  42. 200( 3) seu (∞) nemus 300 (13) seu pv)
  43. vel alite
  44. Jingantur (19, (2) (13) positione data et sit 31 ∞1) (12)
  45. angulus nellus da adeoque ratio 100. 61 ad 16 (11) assum; potest,
  46. similiter ratio 200 (12) ad 6EC 200. 462, et ratio
  47. 300(13) ad 300. 63. Ergo Jan 100. 61 ess ad
  48. 14 (1) ut datur ex 100. (1) per (1) (12) et 100. 200 et
  49. (11) (2) datur per A10 et 10. 20. datur ergo relatio
  50. inter 61 ( et 100 (u) et 410 nedentibus r0o . 20, et 100. 2
  51. et simulis plane relatio inter 62. 200
  52. e tulli
  53. Icug rclatio quaecunque inter AW et A10o dabitur et relatio
  54. inter Aro, et et ratio 100. 200 ad 10. 20 per A10.
  55. restat ergo relatio intr 61. 100, et 100. 11 et et A 100
  56. tantum ergo relatio talis assumenda ut 61 evanes cat
  57. vel aequatu aque rdv. = x 0. res
  58. ergo eo redit ut quantitas (data per X) resolvatur in
  59. dux quadrata quorum latera sint summabilia, e
  60. xx= 2aX +aa sit BtoL IXt 3X
  61. litus sumbili est on 202 + Pex etce rattum 204 2ux 22 X etc haec
  62. a + bm
  63. 2
  64. 1

Cite

Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5, fol. 49r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068534:0097?run=74