Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 15v

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 machine reads it as

  1. Repeto novissiuu.
  2. H ia = ∞ do: deo
  3. X: a = dz: deo dy: dx = ddv: dd. sit ja
  4. dy: dx = XX F yy, :aa fiet ddv: ddz = (dZd Z: deodeo) + (vd videot
  5. seu ddv: ddzue = dZ d2 + dvdv 3: deo deo. sit avaso = Ardo
  6. sit dadco = dzdz dav: ddz. quod est in potestate nempe
  7. ab haec quantitas sit constans. Ergo resumamus sit
  8. e
  9. dv. d ZVddv: ddZ) et X: a = dZ:
  10. sdavidaz
  11. mox valabut quod vetet)
  12. ponendo dZ Rddx: ddzue) esse constantem, quis enim vetet
  13. a
  14. 2
  15. a
  16. fiet dy:dx = adv: ddZ. Jam habuimtus dyidx=Xt:aa
  17. : dzdz (ddo: a
  18. 4
  19. fiet dav: daz = dv dv F dZ d2
  20. seu ddvddv: dd Z ddZ = dodv F dZdZ,: dZ d7
  21. (dodo +1) et fint add
  22. fitddv. dZ =
  23. azar
  24. dz
  25. d(dv: dz
  26. s(avdv + 1)
  27. lae
  28. Nam si sit dEx regula quod si detur de
  29. a du d
  30. ad
  31. dis = ae nat u Qid
  32. CB a (0:
  33. au
  34. dZ
  35. vel v: V)
  36. sit ad. =.
  37. : 3 rel (20: 18) - (W: ) ntdo antum hic
  38. pro 2 pone de, et pro W, pono Av. Datur ergo log. dz ex doid
  39. intervenientibus quadraturis. Ergo datur elatio etiam inter
  40. X et y. Neque enim vero opus inveniri v et Z. neque enim assumq
  41. simus nisi do et do. sed ob rei magnitudinem vix andeo adhibere
  42. ta et diex ddqe
  43. sidem alu sit doid
  44. sit H + aa2) H + t+ et fiat st +aa)-
  45. Digd= (a a 8() 40. 28D. Ergo fiet
  46. ua logi=99F aa d8:3) seu alogs(P: 1p)= loq- a: ): 2
  47. aa88, :28F et
  48. seu ta logi 24l0g B. e 2a log = log ap: 294 sey
  49. aa: 2cc7 log +2log. 1
  50. seu aa: 2 = log. EB + log.
  51. s
  52. lon jam log2 lagdz et
  53. du: d2 ( seu t: a (per 15.15) = aa58: 2a
  54. yytxx ydixe jam per 2 est
  55. X: a 5 Sidaz: ddv) porro duo afdvicZ (adZ: d2) (dB A15)- qu: d2
  56. v.x. Ergo per 14 est
  57. ergo per _7 et 25. fiet XX: aa = (26) 99+ XX, : XX, quod lubsurdum
  58. (27
  59. X
  60. unde jam in ag.7. praevideri poterat, rem. non prochi
  61. Aaliter: y. a = dv. d ) dv: (aZ Z. V) sab. Ep. = d2
  62. A2. L
  63. dy: dx = ddv: ddZ et quia dZ (Z. V) constans
  64. sy.D
  65. v) ddz + (VcdZ Zddv: VD) et quia dqe selze il
  66. site = doid
  67. sit (
  68. qa sed quia
  69. et sadque
  70. s nd :Z + ddz (du.Z 0 et quia
  71. az Tad: dz est constans fiet daqu + daz (ddz.
  72. e
  73. istans quod non licet. sed si v.a duid, sadodat
  74. constansn fi
  75. a
  76. e
  77. consaas
  78. sed idem
  79. 20
  80. az: de Idd o: dz et d2 adx B a7 sans fis ap+ Raqs
  81. a= dc: de. x. = sad B: d
  82. e dcodz dodo
  83. a aoavidoao axiaeie fis tpte d
  84. L
  85. vitur
  86. anti

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 15v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068072:0030?run=73