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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 55v

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: 0.82.

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. 56r); this page is its left half.

The machine reads it as

  1. Veut in mentem alia ratio
  2. sit aequatio differentialis data, ut ante. sit
  3. dy idx = 10 + 11y+ y +13y:, 20+ 2y+229y + etc
  4. fial d=
  5. ( 51+ S2 gy Fel 30 + 31y +32 gy f eu
  6. 60+0 y +62y9r eu
  7. Ad ita oportet 50r51y erc habere Ferationem ad 60 +61y etc. qualem 0 ad
  8. ut sit C = dd vel 6D+ a) dD, ut summa ex datis C et D posset haberi
  9. per quadraturas. Sed haec omnia rurus nimis a miscent
  10. An sic- dy: dx = C: D et rursus = 2 h
  11. ubi O et)
  12. ssunt datae, et 4: quaesitae quantitates fiet Ot = 2D, et differentiando
  13. Odq + GdO = d2 +4d3 sit ergua O= 10+ uy4 1yy + 13y, et
  14. = 20 + 21y + 22yg 29yh r et et 14 = 30 + 39+ 34y + 33 9 + ek. et
  15. t = 40 + 4y + 42y y + 4313 + ek
  16. do = dio F ydu F gy di2 + y d13 CtC F, 21 dg + 2. 129ly. + 13. 113yydy et c = d0 axr dotus
  17. Et ita in caeteris
  18. a Ie dit sr l 1oaB Aoy di4
  19. hd02, d10. 40 + d10. 41y + d10. 42yy + di0. 43 y + d10. 449
  20. +odu
  21. + d. H1. 40 dI1. 41.
  22. dy,. 1. H1. 40
  23. 1. 11 4
  24. 2. 12 q0
  25. d12. 40
  26. 1. 11 42
  27. 2.12 91
  28. 3. 1340
  29. di. 42 d11. 43
  30. d12. 4 1
  31. dig. q0
  32. 1. 11 43
  33. 2. 12 42
  34. z. 13 41
  35. 4. 1440
  36. di2. 424
  37. d1c. 40
  38. 1. 11 44
  39. 2. 12 43
  40. 3. 1342
  41. 414 4)
  42. 5. 15. 40
  43. 2o. 304 dro 319 Fdro 3yy e
  44. 1. 21. 30
  45. d21. 90 d21. 31
  46. du3a
  47. l. 4.31 1. 21. 32
  48. vro E
  49. 11. dgo
  50. 11. 1. 41.
  51. 10. 2. 42
  52. 12. 141
  53. 11. 2. 42
  54. 10.345
  55. l 0a3e
  56. 20 d31
  57. 58. 1. 31
  58. dque 1
  59. Odt t, 10 d4
  60. os
  61. dy, 10. 1. 41
  62. 12 d40
  63. I dai
  64. 10 d42
  65. 13d40
  66. 12d41
  67. 11 d41
  68. 10 d43 1 1 nd 43
  69. 10 d44
  70. 131. 412on 14. 11
  71. 12242
  72. 1312. 42
  73. 1. 3. 43 R12. 3.43
  74. 104. 44 1114.49
  75. 10.5.45
  76. Ita habemus ompientem numerum arbitrariarum. s
  77. sed video si haec ubi quaesita non ducuntura in se invicem,
  78. sufficiens earum numerus adesse. Ponamus qu aequationem datam esse
  79. dy: dx = Xxtgy:, da
  80. erit 10= XX et 12=1, et 20 = -aa po-
  81. caetera omnia aberunt, quare nec assuruamus ultra F. yy, si licet et fient
  82. aequaliones doo. 40 rrodad + 10 41 = d 10. 30 + + 3o; fi4 2ogg 420.1. 31
  83. 10. 41
  84. +2.12.40 + 10d41 10. 2. 42 e) = d ro 3 20d 31
  85. div. 42. + 11 2. 12. 4
  86. Lia at
  87. 2. 12 43 Ad
  88. 12d40
  89. 1e d
  90. n.rgr ) = 1d2 33
  91. ()=
  92. 20d32 26. 333
  93. 20d35 20, 134
  94. 20d34
  95. it st 36, ex, 20
  96. alqta evanescat vel proegreu
  97. ut sa evanescat ent dar =0 H 43, 44 et
  98. sumtur a1 pro arbitrio et 42 constans arbitrara, et 41, 40 pro arbitiio prorsus, fiet
  99. habetur 3d per a) h, et 3 ser ag. 3, sid 3i pr aer d iet ho per aegi. 1, et haec dumnta quiditu a plata
  100. 2 d31
  101. 20 d32
  102. 21d30 ndzo et
  103. 21. 282
  104. 20.33
  105. 20. 2.31

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 55v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0110?run=74