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LBr. 57, 1 · Bernoulli, Joh., fol. 161v

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: 0.74.

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

The machine reads it as

  1. A
  2. tac. pernull. p. 263. videatur pag. versa ad fin.
  3. ABE, X, _.DLE,.
  4. oJadu = F ax. + dat. per X.
  5. FK curva Algebratca EF = +a : b
  6. posito b esse sublangentem cujusdam logarithmicae. FG + GH = AC. Norma
  7. DFG propellit extremitatem fili F, quae tamen semper manet in recta KF
  8. Contro G radio EF, se descubatur art us circuli bepus tract amm in H
  9. GH est ejus langens)
  10. GH + G,D et GH = Gd sint applicatae
  11. logarithmicae, et axis portio intercepta erit y= Et
  12. jam calculimus nostro mope. CG e AE sit X Et, y AC, _ c _, FG = c- EF = c- ta: b st
  13. = C= FG Ergo GH = EF = ta: b sit Cd pq et Hd sit sit
  14. = Etua 56b Gd ∞ nox GD sit Z, DH sit v. et (2d 92 + v0 = +t aa: bb, siet
  15. CD+ GD = X +Z et BC dx + dZ: do = C Z: v et Ato( et 2dZ F vdv = + dt aa : bb. ex 2.
  16. n 8q. 3 tottatur dx per aegut fiebsos adu: F) + aze 5: d = Z: b; seu ady = +Zdv: b edque. Ubr
  17. u
  18. lcto
  19. Ho et in sibstit evabres, fint adus +Z seu (zmd) adue = tZvdv: vB tdz. seu 8
  20. 60o) adu = FZ Z(tdt aa: bb = ZaZ): (AF aa : bb = ZZ
  21. +1
  22. t
  23. 1
  24. =Ldq
  25. seu fic. L
  26. 2yk, Et ad: bb-
  27. adyue = +y. F dt aa: B (= tZZd3 = EEF aa: bb d7 (+ ZZF dzue)
  28. mt
  29. Adys: FZ= loqD
  30. aCa
  31. vr. sit
  32. seu lomou ady - Et au
  33. bb
  34. a
  35. Et bb
  36. bb
  37. ut
  38. 1- cocobbiaa
  39. Et video jam sic debuisse fieri, nam
  40. + sabb)
  41. 1-Z
  42. a4
  43. es
  44. e
  45. 22
  46. tq = Zdt
  47. et
  48. =tdze L azdt
  49. 2
  50. vet d
  51. 1 1-Ztt A
  52. ta ene
  53. 1tio) a Lb (A F- 2
  54. ab
  55. 1+ 2
  56. 27
  57. situ ) Z: F = c0: a fit dWo: a = +dZ- ZdF,: +t
  58. Ergo sit (b) adus = - dco tt: a
  59. 1= Coto bb
  60. aa
  61. siu isto adgaadu = deo
  62. e
  63. Z
  64. adus ta t bo) ( tZ+ tua. b6) aZ +(9q + d7
  65. qdt - +dz
  66. Haa
  67. 1 = 22
  68. nt
  69. adue = 17 vdui Edzue
  70. Jocon sdest
  71. gdt - tdze
  72. seu (11 mo) ady=
  73. +dZ+ Zdt
  74. (2)+ + L
  75. itaque vereor ne commussus sit calculi ervi
  76. aatu aadx
  77. a1b
  78. Et video jam sie
  79. EF, pau 264. debet esse ita proportionalis
  80. ipsis +, a, et duplo subtangenti b, et fiet
  81. +:a :: b: EF. Ergo EF - ab: t, non
  82. set ut supra posuimus. Manent igitur omnia, hoc solo correcto.
  83. Amidata sub langentiali ex
  84. CD, ex abscissa Ad, adeoque et ex AG hoc lco X datur
  85. ob 0q. 3 fit _sAx: Z = log. V - log. Z
  86. curva per quadraturas, nam ae saxize quaeritur, quae aeq. log. B: Z sed hoc jam aliunde
  87. C
  88. ex Hini data subtangentiali dsolu
  89. Hinc videamue anc data GH. ex CG rereri sit d potest problema generaliter reduci ad quadhaturas. Nam. data E
  90. e
  91. videm
  92. n 1bl C
  93. vel aait ep x idatur sax: t per quadhaturas. Ergo datur log Sico: (- coco) hugo et datur co upe lognichmicae
  94. pastari pen
  95. seu F.Z. Ergo datur Z.
  96. H
  97. bosjunea
  98. e
  99. ayidu 1 Gi
  100. oyey = :C

Cite

LBr. 57, 1 · Bernoulli, Joh., fol. 161v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-958803:0324?run=74