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Leibniz-Handschriften zur Mathematik LH 35, 7, 13, fol. 5v

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: 0.80.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 4r); this page is its left half.

The machine reads it as

  1. Huc
  2. 30. 30 d31 F A 30. 31 d31 + 30. 31 d30 + 31. 31 d30 + 30. 30. 31 + 3B31, 31 + 3(3.
  3. 31. 3e d31 +
  4. (21. 31 e d31 + bede +61. 3131de
  5. 30 + 5ip + 60 d =0 sit v = 20y+71
  6. 160471406 a ) F60. 70 dy
  7. unde nil
  8. novi
  9. 22t
  10. 31 C3(. 3Dde
  11. BDeBD Cd31
  12. B1. 3)e d31
  13. 50 + 51V + 60dv =0
  14. fit )50_
  15. +B)3I + 31CB13D + 3F
  16. V = 6947 + 20Y + 7yy
  17. 51. 69. + 51.70Y +51. 71Hy
  18. 60 dbg + 60troy yy + 60. 70 dy = 2.60.71ydy
  19. 10 + 11 V + 12 yy + 20 dy + e y dy
  20. C in duta
  21. omittamus 69 et Retenta 7) sit Fotam datam multiplicemus, per abitrarim liter
  22. ut per (07+ 60.71: 21, succedet eo ipso termiaus ullimus ydu
  23. et fiet 70 = 260. 71. 20:21. ponamus 7l esse constaintem et
  24. fiet 51. 71 - 212. 60. 71 :21 seu 51 =260) 31: 21 = 2 11. (60)71. 2 7 60 dy
  25. et reditur ad aequaver tractabilem. Error calcudi
  26. Repetamus 2.60.71 = 21. 2. 60. 71: 21 est identca
  27. (6d
  28. o
  29. Ex dy sil 60.70 = 20, 2. 60. 71 :21. Ergo 70 = 2. 20. 71: 21, seu copendo. 70- 70. 2
  30. bi 89 est dete i
  31. et 8g = 2. 20: 3 data ex yy fiet 51. 71 + 60d71 = 212. 6089 seu 51. =21 2. 604) -60 dy
  32. et ursus 51 71.89 +60 71 d89 + 60. 89 d71 = H. 60. 89. H1 ay vd8 + By
  33. rursus 51. 70 = 2. 11. 60.71:21 - 60d70
  34. L2.6o. 89 60.89d7t d, 0 = 71 L89+ 89d71 et fot er
  35. Et fier 51.71. 89 = 2. 11. 60.71 : 21 - 60. 71 d 59 (- 60. 89 d71)
  36. sed ita evernescunt eltur bo et 71
  37. et fit 2. 12- 2. 20: 21. 2] = 2. 11. 4 - y
  38. An sic 2 = Yt = 21. 2. 60 r2 20260 E7) = si 2. 11. 2 = 2. 12. 21 89 - d89-
  39. poramus abessi 12 et 11 fiet dy0: 70 = d71: 7 se l0g. 70 = log7 1 + h
  40. u 70 = n 19 71 posito h esse unitatem cud seu rectam cujus log. est 0
  41. si multiplices prius pe bo fiet 21 = 21: 2 et 70 = 20
  42. et fet 1c tu
  43. 12 = 2 d21, : L. 21 = 11 - d28, : 20
  44. sit 50+ 40 +q2vo + vdo e sit v = tegy +
  45. 1288 + 4289y + +2. 60yy + 189dys +6pdu
  46. sit 1 = 460 yy + 89) + 88 fiet 4d e
  47. fiet 89 = ∞. 41.
  48. 41 d08 + 141 489. + 741 d60
  49. 10 60. 41.y + 60. 41.12 +5∞. 41. 20 80. 1 Jay
  50. sit A2 in data rave ad 4) habetur 60 per y7,
  51. Ergo. 89 per y. et 40 per y
  52. m + nVV + pVdo = 0 sid sit v = B Squy + ry+ 5
  53. Ergo vao = 29y dy : 2 + rdy D. 2. + d9 qy. + dry.2 + d5
  54. ergo in +nvo + prdo =0 = P H 444 n 3 trrys 1rg77
  55. An sic
  56. fm + fm bv + fmcdo afm evo + sutr vdo
  57. t
  58. C
  59. sit p = mC et ginc = siph seu g = fh: c seu habeturus
  60. et fhn: C= fme fit n= mec
  61. sit v0 = y vdo = dr: 2
  62. Rd5 ultry redquu H rdy + pguydy Seoinc
  63. ar tpar = c seu ref + Zg def
  64. + gnov + g vdo
  65. Spotestomulti qu
  66. 20.
  67. b pus + exqyt ep yy+ fpgdus + pq ydus = 0
  68. b +Cy + eyys +8 dys + 9ydy
  69. , r = 25: 9 n. = eg
  70. Vel m + nv +pdv = 0 per hb 290 + do
  71. omo
  72. e
  73. (Ymsec + (msh: C = F m fit h = e 5C
  74. 20 Ego 20220 = 13. 20 +2220
  75. si 10=1) fit)
  76. en 11.20
  77. 6
  78. obdy
  79. fit (r= 259
  80. sit n = hp et ex ryfiri hgt Ldq = et
  81. etdatur 9 pem regulam inventar
  82. puitus ex y, fit hif2s q+ 2fdqu 9 eq
  83. Et posito E et s esse datus vel proutes sumi
  84. habetur 9 ubi pro ha substituendo
  85. valorem inventum eq-: dq fiet.
  86. 25eq (- fdq. + 5d9 + gdf, id
  87. est fit df: 5 = 2C
  88. Si 71 sit constans habebitu 60 per y dy 70 per dy,, 51 per yy +d30 + 431 y+ d e yy + 31 dy + 2. 32 ydy in y + b n.
  89. Sed pursus 51 per 11 et 64 et ruoriur determinatio
  90. In universum vel 50, vel 69 omitti potest
  91. 2.12. 60.71.89: 21. 60 d71. 99)
  92. sit q- 1
  93. p= g
  94. 3
  95. sentemus in in nea data oblueri possit ut s) 3
  96. Sit 10 + 1cd + 12 (4(d + 13dco + 14 cdded. et sit 1d = 209+22
  97. fiet 10 + 112084 3
  98. pa F2Mo y +. 12. 204) + 13tay
  99. 13d32 F 13 deo y
  100. 22 d22 +22d y
  101. 20d2 y trodrogu
  102. +20. 20 ydy
  103. debet esse 14. 2.20420+ 2 20 d12+ 20 dd2o + 420
  104. =2. 20.. 12 26 f ol = f. 2. 20. 20420
  105. lous lo ce vui du
  106. potest S’omitti
  107. neodi
  108. deo - dic trotus
  109. sil 30- 31e fil
  110. fiet +50 + a1
  111. +S1.71 51. 70y
  112. V = Er ergo
  113. do = dr: 2 er
  114. vdo - dr: 2

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 13, fol. 5v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068084:0010?run=73