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Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 10r

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: 0.77.

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

The machine reads it as

  1. e
  2. e
  3. (11)
  4. 2
  5. 219
  6. Numerum invenue Integrum, invenire, qui divisus pert multiplicatus
  7. mlli
  8. per
  9. quateimau
  10. narium; det integium, qui auctus multiplicatus senario, auctus quinario minutus
  11. er iintegrum, qui multiplicatus per biharium
  12. auctus unitate, divisus per denalium
  13. sit in bger
  14. (3)
  15. 9 +8 A B. (76B+ pC, et C-
  16. a
  17. D.
  18. 9A+8 B. Ergos A, A,B. siic P B p sR+A. Uende
  19. 1+
  20. YA, et 16 - 1 ( - 33, F,
  21. Unde 2 F + 1 E. Ergo E+, 2F+ 1. Ergo j B A -. Ergo:
  22. B
  23. + (DF +t + ACD B A
  24. per6
  25. Ergoc) 2 A + 1 14 F + 7
  26. ergo 2A F) 14 F + 6 sive(u) Ap, 7F + 3.
  27. Unde:
  28. (14) 63_ + 27 +8 B sive ) 9 F + 5 B. Qua valore
  29. in aeq. 2
  30. 16)
  31. Unis sive 54F + 30 45 + Y C, sive 54F +31C
  32. +F + 4 3
  33. H C.
  34. unde G e G - 1
  35. 1)
  36. (19)
  37. Ergo aF + 4
  38. (21)
  39. 26
  40. per 19, trer 4F +4 B 4H. sive F 20H - 4 sive Fp, pH - 1.
  41. ergo 54F, 270H = 54, Unde in aeq. 17. fier: 270H - 54 +34. C sive
  42. 170H. = 20 p C, sive 54H -4
  43. 28)
  44. 5
  45. sive A p 35H - 4
  46. C
  47. CM
  48. 52
  49. 1 et erit per 1 p 35Y-7 +3
  50. (2
  51. 3. f cumqentm sit 2C p, 198H-8, fiet: iodH - - 1 D. unde
  52. 3d)836H - G F D. Hinc patet A sumi posse pro arbitro et fur:
  53. tans
  54. 38∞+ 41 ponendo ob 1. qui casus est minimus, fiet. per 20 pecst 31.
  55. 700+50
  56. 20s
  57. G, fier: 5G - 4 F
  58. (23)
  59. 2
  60. A F. Ergo 1G H. et G⊓ +H. Ergo
  61. G7l Nam ita: 331 +8 p 41 et 116, +4
  62. 246
  63. 55l
  64. 50
  65. 50C2, 41
  66. 33
  67. quod si velimus tam primum H qua A quam ultimum D esse quad ratum,
  68. ex 18 fiet (33): A.A.
  69. A +29 _ M. sive A hoc Ap S35H- +, sive 36H ~ qua sumendus est talis
  70. _, H, ut per 25 multiplicatus dec quadratum ali numerum quadrato progimum
  71. fiab 35 H p 35C35 D L2 et erit H
  72. d
  73. et A, ponendo N (+)
  74. ponendoque 3 M a 35 M. 4 p
  75. M
  76. 3
  77. 2B - 14 s fer. 1A + 1 + C H B. Ergo 2A + 1 E( X
  78. siae () 7E - 1 A. sive 3E,L
  79. ∞) N2 (1
  80. 1
  81. 35 L +M fier L
  82. 70NL (+ 3535 L (353510) + 35 M - 4
  83. sive P+4 M. Tivioulum taec aequatio in duas:
  84. Ap 4 Y, et H 4 V, ter: 45
  85. Not a B35 N 4
  86. X N (4) Zet p 35 M = 4 S. ero Nsp +4 3e
  87. x
  88. 1.
  89. per 4
  90. 16
  91. 10

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 10r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068240:0019?run=74