Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

LBr. 560 · L'Hospital, fol. 37r

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: 0.79.

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

The machine reads it as

  1. dt = dx t dgu Ergo dxdax t Aydaus = 0
  2. . 1693
  3. jam alx= diu
  4. atdx= diu ergo = a du adue = dus. Ergo addus = dx. Ergo at log du = xat
  5. Rediucho-
  6. Ergo at
  7. dy
  8. axedera xat
  9. e
  10. ay
  11. seu AF. X = na: dy
  12. xfad tus adu =) alx) daus
  13. X I a ddx = at - de
  14. et elementum curvae
  15. emus dc =
  16. 2
  17. add a ddx = dys ex datis.
  18. Jam E
  19. eut
  20. dx
  21. log u, = X ax tctus = logdu: x
  22. rax dy u.
  23. Erggo X=
  24. 2
  25. 2
  26. sit et constans
  27. L
  28. Ergo dx = addus
  29. LL e2
  30. dx dx dux = dus clax posua
  31. en
  32. adux
  33. dx + dy. X -c = aa: dy
  34. Ce
  35. (Ergo d ex dax + du ddus =0 jam quaeritur
  36. 2
  37. linea in qua s posita at constante sit addx Z du pro ddx in aeg. 3
  38. (4
  39. etant
  40. ponatur - dyadue: dx ex aeq. 2. et fiet = adyddus: dx = dus. seu dx =- addu: du
  41. Dan h dB Kat=C loy ay a
  42. ergo si ds1: sint numeri, dy sint logarithmi
  43. Rursus in aeq. 3 tolle du ope ag. 2. jam ex aeg. 2 est duax dax: dau
  44. et ex 3 et 6fiet, a (ddx) = ax adx ddx: dau seu a daqe x dax
  45. 9
  46. aliter in 49. 3 tolla exdu _ semitollatur dus per aeg. 2. et sint dudir + adda ddy 78
  47. de gendi et redit aeq. 4
  48. I: X sint numeri.
  49. superficos arancurva
  50. circa langentem e 1: X sint inueri
  51. du sunt logarithmi
  52. quoue guerle recedit ab A
  53. addx = at - dx sit
  54. a = 4 1: X
  55. sunt logarithmi
  56. 1:
  57. ydy
  58. vel X +a sunt numeri et
  59. Fdt- dx sunt logarithmi
  60. dt= dest sunt numeri
  61. du + dt sunt
  62. logarithmi.
  63. X r+ u t F12B+ 13l+ 14F. sietque
  64. dx = 10+ 1 + 4 12 ++ 13f + 14 f + 15t
  65. dx = 11 + 24 t+ 3 +5 de +4. 14 t3 a
  66. (+ dx = 10 + 2. 10. 11 F + 2. 10. 12 f + 2. 10. 13 (3 + 2. 10. 14 f) + 2. 10. 15+ et
  67. o
  68. de
  69. = 1
  70. Cx Eadem relatio ut in adZ =
  71. q
  72. + 11. I1 +2. 11. 12 + 2. 11. 13 + 2. 1C
  73. 2
  74. -4. 14
  75. 12. 12
  76. -
  77. 15
  78. 3413
  79. 12. 13
  80. eu
  81. sit 10 = 0 fict 1 = = a et 12 =0 et 13 = l: 3a2 et 14 =0 et 15 =
  82. 14
  83. n
  84. addx = - 11a
  85. 2: 35a
  86. lX = 1 F + 2. 11. 13(4 + 2. 1115(6+ 2. 11. 17+8+ 2. 11. 191 +2. 11. 21 f4 211. 231+2. 1125l
  87. p
  88. 2
  89. dx - ut + 13 + 4 15 + + 17 t + 19t
  90. + 1B13 +2. (3. 15 42. 13,17 +2.1319 +2.13.21 +2.13.23
  91. 215. 21
  92. 2.
  93. + 13. 15 2. 15. 17
  94. 2. 15. 19
  95. Aatu = -1a Za. B3 - 5a. 15 = 7a. 17 -9a. 19 = (1, a. 21 - (13 a 23 Guet 5
  96. + 1. 1
  97. = 1 = =1
  98. 11= - lia et 13 = 1: 34 15 = 2. 195a 17 2
  99. 1. 1.352 3. 13. 54
  100. 16 er
  101. (17) a 3
  102. = a logdy: XtC
  103. nmenta curvae
  104. seu xc seu ASi
  105. axis rebolulorum
  106. sint ut pundri

Cite

LBr. 560 · L'Hospital, fol. 37r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-855907:0073?run=74