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Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 9r

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: 0.73.

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

The machine reads it as

  1. ) C + n ab. esto Cn el et de, hl fier.
  2. redusticue fractionibus sublatis. C
  3. el n (+ fk
  4. ut
  5. la
  6. ms
  7. orso
  8. 92
  9. +
  10. erpr a + ft gl 1 g m ab.
  11. V
  12. L 1
  13. Pane gm hg ran, et ab , (l + fl, unde ex 5 fiet.
  14. ija
  15. c
  16. e
  17. quel + 2hgan Bl + an βl
  18. ponc h h+ m + n, et (S
  19. 2
  20. A
  21. ab
  22. team
  23. AC. +nV
  24. u
  25. e m + (ab g m )+ Blg m + ab gr 2 2ma
  26. el. 1+
  27. 9
  28. mp
  29. Nem a b)
  30. m + Blg m + abg 12
  31. e
  32. v
  33. et () fl ab +B1 fier,
  34. gem ab) Pone (
  35. + abglimip
  36. el. g
  37. sive (10) et m Y Blg m + abl P + amlpgaba
  38. +. βl
  39. Divellatur haec Aequatio in duas quarum una
  40. 11)
  41. aja
  42. ... . - . β1
  43. 3
  44. H e
  45. elm +Blg m + 2mlpg ab, 10. Sive divisis omnibusper n
  46. la
  47. elm + Bl9 m + 2lpg ab 0 sire
  48. Hinc m - rpg ab
  49. fiet ex aeq. 11.
  50. ja
  51. e + B(qV
  52. 2
  53. vel p Si ponatur e r 9
  54. sequens:
  55. sed nihil inde ducemus.
  56. ab1
  57. 3C.
  58. oequio
  59. Bl. B92 H 29Bb ab e l +Bgr
  60. Unde
  61. Residna aequatio
  62. + 21pg6b - 2pg ab
  63. P2Bb a
  64. BI
  65. ab 1
  66. 9
  67. st ld
  68. N0; sive abl alae pb ab 7o
  69. 3
  70. abl e
  71. β1
  72. n
  73. e l+ Bgr
  74. β6a g2
  75. - β13
  76. vel
  77. quae solutio su quidem fit impossibilis, nisi
  78. 2Bb a - p
  79. ab sit quadratus.
  80. At ergo problema recte solvatur ad numeros integros revocanda
  81. sunt omnia. Quod si ergo aequatio sit in integris ) on +ftigil- g’ m ab o
  82. ponendo f. et b. esse interios; necesse est fhgu
  83. s
  84. =q’ab
  85. esse m integro. Quod
  86. si jam f. sit numer prim Erit ergo fligt et- g’abs quam ut in integris
  87. 2ja
  88. resolvamus, fier: fh E
  89. fiet: filt
  90. vel eri
  91. et fier: shl genutit
  92. numeros
  93. sg
  94. Cg
  95. a
  96. poe fhl gn
  97. g2b)
  98. 9ab)
  99. Resolutos intelligamus g. n. S. in omnes prims ex quibus compenuntur, quantum opus
  100. esst in rem nostram, id est quantum opus est ut appareat en dividi posse per s
  101. Atque ita quidem facere necesse esst, ut problema pleni resolvatur, inderim vero com–
  102. pendrosius statim ab initioponemus e divisbde per g, in aeq. 8. vel si mavis (divisibile
  103. per g. donec appareat nagpositiones nos ducere sa imporibile ponento ergo eps fier
  104. cis
  105. sit
  106. 5i 05 09 280b5, et h r 95
  107. qpis
  108. p= ab
  109. fingamtus (13) SM f4, fier:
  110. ab. sed cantione aliqua opus video, nempe ex aeq. 6, patet esse g ab mauquam
  111. ft 14
  112. Cm
  113. Na

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 9r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068240:0017?run=74