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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 162r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 163v); this page is its right half.

The machine reads it as

  1. Se
  2. 0= 20 du - 21 a 431 ) + 211 aye a24 9 hy Xay
  3. vu
  4. iliea
  5. ilam
  6. redis
  7. Xyqy gray xdus
  8. inid polus d= reste a uoris troi tsax etc.
  9. rursus o= 60 ax +61 Xdx r71 y dp + 611X, ax 1 62 X dx + Y2Y dx er
  10. Xily
  11. 62600t 1 6unen 4 60uom
  12. 13s li
  13. 17
  14. y xsi xs
  15. dy yax ray
  16. P aeq. 1 compendio fit O dx + D du =0 ex aeque 2fit 6 dx + 8du 2o Unde sinutur valore, quan
  17. titutum Cd, 2 6, D, qui postea repraesentati Ex 3 fit = dy: dx = O: D ex Esit. ay: ax = 6:8
  18. Ay qut Ergo fit 04 265 = 0quae explicata et divisa per X-y dabit,
  19. p ap e bu
  20. Ex aequationibus) et 2, nontest significare datam
  21. differentialem (ad homoeoptosin odactam) altera
  22. deductam geremtem deductam. differentialem deducta
  23. ex aequatione integrali generali homroeoptita, unde
  24. ope aequationum 2 et 2 sollendo dy: dx ut inde prodest
  25. aequatio DG- 8D=0 comparanda epit haec producta
  26. cum aequade intergrali generali per arbitiarim formula
  27. homoeoplotam) mulliplicata. at ita secri potert, utrum
  28. data differentialius reduci possit ad cupvum Algeblaum
  29. 420.72 +kys+20.721 +X (470.73 +Xy (+Z0.731 + Y (42.74
  30. +21. 611
  31. 731. 72
  32. +211.71
  33. +221.60
  34. 31.611
  35. - 21. 61
  36. 321 a60
  37. ii
  38. +22.71
  39. 37+21. 72
  40. +22.71
  41. +29.50
  42. 20.62
  43. vif +2. 72
  44. + 211. 72
  45. +22.611
  46. +221. 71
  47. +23. 61
  48. +231.60
  49. 20. 691
  50. 31.621
  51. EII. 6C
  52. 32. 611
  53. F321. 61
  54. 331. 60
  55. +20. 24,
  56. 3, +2. 73
  57. 122.72
  58. r2Z21
  59. +24. 60
  60. 10. 64
  61. =31. B2
  62. OP = 2060+2B.HIX + 20. 6I y t2o EuXy t2O. 72X t20. 61y, 20.) EI Xyt20. SIxXy (73 XL 6 y+ V. BUKytron1Kyt 20. 6xG1 2074 S207y trobta y 2074 Yyreo E o se Labe r16
  63. etc et en Eeq
  64. veni absX
  65. exipa quod
  66. +08. f207(
  67. ensfe F
  68. 421. 71
  69. +22.60
  70. 32160
  71. 3. 60
  72. poneurs 2, 3, F, nempers
  73. volique p ted, pro y3; pro rys et eiu polentis +, pte a1 2 35e)
  74. et pro po 9 3 pro r ad ciypihuls 8) ad et
  75. 2 et egiaut ab xdden
  76. dmp x quo
  77. Termini, habertas signum +diffevunt ab habentibus
  78. 17 ponendo
  79. Edemtis praefixis (2, 6, 3i1) rec
  80. summa in eodem termino est eadem ut
  81. in 20.72, 21,71, 22. 60 et semper cunti prodib 2.
  82. F29. 60
  83. uib
  84. 32.6
  85. 33. 60
  86. nam talia aque
  87. supponunt pro
  88. 2 et 3, vel
  89. potest occurre e 31.62 nam si 3 significat X, tunc 3I
  90. e
  91. uterminii ejusdem sigui
  92. seti bet
  93. 3. 242 et 7 item 3 et b indicant cummexaetitions requ
  94. 2et5 item 3 eg7 d0g
  95. eandem ateram. Hinc ratio reddo potest combina
  96. tionum exclusarum. Exempli sacia 21. 61 fro
  97. XF y non possicul corre, nan xty prodrit ex xis diviso per
  98. 39. 60
  99. 31. 62
  100. 13460
  101. quibus praefiguntur ere praevalent, sic in ry, patet ipsi
  102. Xy - Xy
  103. 1b. 8. 4 2,
  104. Xy - X9 = Xy8. X-y - X yFry, 1-G
  105. X- 9 = X + Xy +Xy, X- y
  106. LG. r= yrrB. 7
  107. X Gasirn
  108. sed non potunt 2l. 61 prodire in X vel G. Bam si 2 sigo fitat
  109. func 6 significat y ergo prodicet xy, non e vel
  110. in y prodemule ex xy - X) diviso per X-y. Non
  111. panificat X, et e2 significat X, ergo prodiret . non Xy velxy
  112. superest ut legem signi constituamms Et quidem si + illis demus quae
  113. nata sunt ex O2 praedomdnante X ideo quia in O et e, X desigo atum
  114. per 2 et 7, sequitur, illis conbinationibus praesigi +, in quibus numer
  115. termino 31. 72 praefigi +, quia 72 ctinens 2, praevilet ipsi 31 continenti 1.
  116. Ex his praescitiin si pro
  117. no seu ad A
  118. seribi poterit desitercitum
  119. d aristy niet

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 162r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0323?run=74