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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 198r

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: 0.78.

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The machine reads it as

  1. Rato
  2. Ratio Circuli ad quadhatum diametm est quae 1. ad med. inter 1et 3
  3. in serie 1, 2., 18, 105, cujus serici termini siunt confinua multipli catione
  4. 98
  5. horum: 1, 2, it. et. Ermentod itaque Ter mini ita stant
  6. b = 3 vel
  7. Ergo b - 2X l
  8. 1. 35)
  9. 2. 4
  10. 1.3.5.7 CC
  11. 2. 4.6
  12. ver l
  13. qucone y fiet
  14. . 3. 5. 7.9 - et a git crorb. vapa
  15. 2. 4. 6. 8
  16. ese E = 13.3 vel 5. 7 vel 2.9
  17. 4.
  18. b yret
  19. 3= (4- b-
  20. Exili et Ex prine fit 2b- 2bb = 2Xa = sit x = 21b -la,:, ab - 2a
  21. quem valorem ipsius x substituendo in valore ipsius C habetur reslatio inter e si
  22. 2X-
  23. Si marimus esse x =
  24. jam primo saltu
  25. a)
  26. AXHAX-
  27. 4X, 4X. 2
  28. pro X Munetur X - 1, et fiel _ 2t a et a = in
  29. 4
  30. L. 3.5.7.9
  31. 2.96 8
  32. a
  33. 1. 3. 5. 7,9. 11. 13
  34. 2. 4. 6.8, 10. 12
  35. (C) axs, Ax_ Ae 4X+ S, AXt3, 4X + 1, 1X -.
  36. 6) anta, HX+ 4X+4, AXH2, 4X, +x 2
  37. 1. 3, 5.7. 9,. 11. 13. 15. 17
  38. _2. 4.6.8, 10. 12.19. 16
  39. ses
  40. b
  41. 2x-1, oIC
  42. b- lipe
  43. L
  44. l = R 2 e
  45. =
  46. c-l
  47. 2lb - 2lc
  48. Ergo aequatio bua ila-
  49. procedamus jam per saltum primum
  50. 135
  51. 2. 4
  52. 2. 4. 6. 8
  53. 2
  54. 13.5, 7.9
  55. 13. 5. 7. 9. 11. 13
  56. 2. 4.6. 8. 10. 12
  57. ytt = b. Ergo ya tila = ybsCa t olb
  58. bua
  59. ep y = t ela - 8
  60. lb = yc + 2lC
  61. 1= 3lbadle C
  62. etc =
  63. y+ 3l-
  64. y+2 b
  65. Erge
  66. 57 9.11. 12 117
  67. 2. 4. 8. 8. 10. 12. 14. 16
  68. erc
  69. Ia
  70. (1)
  71. 2.4
  72. 7. 9
  73. 6. 8
  74. .8
  75. 11. 12
  76. 1012
  77. 11. 13
  78. 10. 12
  79. 16)
  80. 15. 17
  81. 14. 16
  82. pergendo porroad faltum secundum fit
  83. (a)
  84. l. 3. 5. 7. 9
  85. 2.4. 6.8
  86. (b = B yt 1, yu1, 9. 5, 905
  87. 2.4. 6. 8. 10 12. 4. 6 2.4. 8. 8.10,23 47. 16. 8. 201 2. 47
  88. (b1
  89. _(CD
  90. 1C7
  91. 15. 17 = C yr1ly- 1l 1b
  92. 14. 16
  93. 3 y- 2 (a
  94. er = 914, y+3 = Cc
  95. 13 ergug 1 n
  96. (6)
  97. 3+9, y+7, y+ 5, y-3
  98. y+4, yt 2 10)
  99. 9+8, ytb, q yr
  100. Et quia sember E de vel CC) vel et. dirivatur ex b vel 1b), vel 6)) etc. ad numeros addendo 2, 4, 8 er
  101. y, y-2, 9. 4, 9- b
  102. Hinc suffecenit imdagati b, 1b), cb7 etc. Et in his ipsis rursus nemeratores fiunt ex nominaloribus
  103. cuilibet nme addendo 1. hinc quaenendae esset lem hica pro gressionis, 5sufficit nos contentos
  104. esse nominatoribus, et res redit ad legem hujus pregressionis y y, 9. 2 y, 9a2, 9- 46sy, yu2, 9. 4 y-0
  105. a)
  106. Ca)
  107. . 4. 1.71
  108. coefficienti respundenti
  109. et ita porro semper duplicando numerum terminorum
  110. sit series l, n, n, p. fit i = gat 2 = y. 4, 9-6 P = 9 - _, y a10, 9. 12, 9- 14 et ita porro
  111. sed sic non osequinur finem, quid si adhibeamus Logarithinos logl = saq log. m - f sdu + sdq etc. sed nec
  112. hoc prodent. Sic potius B = fento ex in formatur ex l, cuibbes n meoum addendo et ex m, et P ex n, etc
  113. Enilibet terminorum, in l, vel m, vel n, etc detrahendo 2, velq vel 8, eta. Relatro scil generalis quaerenda esset
  114. inper 3- 2 et y, - 4, 9- 6 et y, y. 2) Inter y-8, y. 10, y- 12, 9- 19, et 9, G-2, y- 4, y-6,) Et ila porro
  115. Est leo cenerolis sed non apjaret quomodo aqultionen revocari ad aequadem possit

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 198r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0397?run=44