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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 186r

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: 0.83.

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. 185v); this page is its right half.

The machine reads it as

  1. senionullans 10. 23
  2. (0. 10. 13. 13. 20. 20. 22. 29 ( bi5. 10. 10. 13. 13, 20. 21 21. 29 f 10. 10. 13. 13.21. 21. 21. 2)
  3. si esset 10X +paX + NaaX + 13a 2X + a =0, et 20X +ZIAX + 2ax +2a=0
  4. firtet cila formulet formulae aequationis movissimae.
  5. 147. 207
  6. nem literae cuusque exdatis
  7. aquationibus servent, leger
  8. homogeneorum inter se,
  9. 1 W 23. 203
  10. 10.13 20. 23
  11. 12. 11 2820
  12. 10. I1. 12. 20. 237
  13. 14. 1. 12 23. 80
  14. sed formanem formalem Nempe quot modis
  15. fantum non virtualem ex primae aeqolituis
  16. in membro verd quovis
  17. est laxhomogenectum
  18. ultaque servatur
  19. temioquinars
  20. tribus repetitis vel
  21. diversis tre ternio
  22. haberi potest dextrarum
  23. summa fuciens 3
  24. quop feciunt 11. 11. IC
  25. 18. 19. 13, et 10
  26. 10.111420. 21. 23
  27. 10. 13. 13
  28. 11. H1. 13
  29. II 12. 1
  30. ni inelo
  31. atur que
  32. respondent
  33. etesnio baliens et
  34. B1 10. 10. 2l. 23
  35. 10. I1. 11
  36. 14.14. 12. 22.20
  37. 14. 13.13
  38. 1. _423
  39. 103. A. 12. B3
  40. 10. 14. 20. 22. 23
  41. 1d. A.3
  42. faciens pnar
  43. 10.10.11. 22. 233
  44. 1414. 13, 21. 203
  45. Ry. 21. 2
  46. .1322. 2
  47. ternio senans
  48. _ 1 20. 23
  49. 10. I1. 15
  50. grsort
  51. suvor
  52. max
  53. et
  54. exhis
  55. patet quomodo forma
  56. forpalae delineari
  57. Omi dissimulatis lteris aequalioni datae primpis
  58. derenus so assubtas posterioris, quia et sunt artitaria
  59. sed nonc torci non possent terini
  60. intermedii quia tres literae
  61. 20, 21, 22, levera ad duas redin–
  62. cerntur ergo pro 23, ponatur
  63. 23-y. et 20 habeatur pro
  64. constante a, et fiet
  65. =0. ubi ut scinmus un demonstrari ex formula
  66. +2823
  67. 20.4
  68. 11.
  69. H. 12. B3
  70. 2 20
  71. 11 20.253
  72. 20. 2122
  73. 2. y +
  74. 1010 2
  75. 28.2
  76. 20. 21
  77. (0= 21. 22
  78. 28. H. 22
  79. possit succedere sublationem terminorum
  80. mediorum videndum an semper
  81. quales istae a quae ordine
  82. pta tractabiles ut
  83. assurgunt, sint s
  84. ultima non ascendat altra gradum summae
  85. ex ipsis videatur aequatio sequens
  86. 28. 21
  87. 20.21
  88. 20. 21. 22
  89. 20. y
  90. tiones
  91. + 20. 23 + 30:
  92. + 20.812)
  93. +23. G +
  94. 20. 21
  95. d2o.2
  96. si sit 10X + n1aX + 12a = 0, et 20X +21 a =0. firl 10. 4H. 2b Vn- 11. 2. 20 ri-0 fu sen fut
  97. si sit
  98. +10. 21 - 11. 20. 21
  99. 2. 20
  100. Si sit 10X LIaX + 1a Xx 9a =0 et 20X + 21aX + 22a = 0
  101. fiet
  102. 0= 10: 122 = etc
  103. quae aequatio per expunctionem et adinationem ita stabit
  104. 10,28
  105. 26. 22
  106. 13. 28 12. 22.20
  107. bis
  108. n. . 2
  109. e 2. -10.11.212 +ter 10.134. 2022 410. I2. 7. 22 -10. 13. 21
  110. 3.A W B. A. d. 20 = 1. 12 21. 20 22 19.11. 2I. 2C
  111. quae aquatis per ex punctionem et expi ordinationem ita stabis:
  112. 10..2V ex abis 10 R 12. 15. 20 _. 22. 1V. 1. B 2del u. 2B. D Herio. B 12 2 110M, 212F.1B13. 213
  113. 18. 1. 232 abs 13. 1B. WV. 22. X. 20-13. 119028 i
  114. (1B. 1. 13. 13. 20. 20241217B. 1. 13. 13. 20. 20. 2. 22 ]7 10. 12. 13.19 2a20.W. 2 - 10. 11. 137 B, 282. 1. 2) Sed haec aeq. quentum judicare possum debet esse deprimibilis, quond litiras seu divisibilis pes tormu-
  115. lum quam ingrediatur 10, 13, et 2I, nulla verd aliarum, quia praevidemue in aequatione no-
  116. vissima sublata X ex 1q9. 1 et 2. non debere, 10, 14,13 A3, pr singula ascendere ultra gradum
  117. val atae demm aset n sap areu ep teigria parlopr a sodtuat
  118. secundun, necsea
  119. l.28.1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 186r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0371?run=74