Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, 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: 0.77.

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. 8v); this page is its right half.

The machine reads it as

  1. x. X.
  2. 64 + 4.
  3. X5 X2
  4. 64 + 64
  5. X2
  6. 64 + 16
  7. X3 X2
  8. ba2 14X2
  9. 64X f, 64X2
  10. 64X + 16 X
  11. 16xtXL
  12. - 1X - c. X2
  13. 4X f X2
  14. + X3, + 24
  15. 4X2 7 4 3c8
  16. 4 Xa 15X3 9C4
  17. 16 X 1- 1 2
  18. + 4X4 + 5X5 + X6
  19. 64X 48422 +2173 174 V xa + 2la3 F44142
  20. 1 2. 4
  21. 47 _b
  22. X3
  23. X2 + 21 X
  24. 2567C ~ 105X2
  25. 256 V 105X
  26. X V +0 256.
  27. 2562 +336X~ 44, X2
  28. 60X3 784X4 +213c5 + Xb,
  29. a
  30. 10l - b r 11 - 4b5 ∞64 23 - 8029 + 1625
  31. 256
  32. 105
  33. 1
  34. 2t + al7 +.
  35. +e 4 2ef 4 f +C, C - pro e ponc fr l. fier:
  36. 2f + 4lf 13f + 2 (2
  37. piai est. 151 1
  38. auctos Clano duorum quorumlibet facict quadrarum
  39. tres Numeri proportionalet Geomestrice, quouu solidus
  40. 6GG76
  41. 2688
  42. 9241 b
  43. 6104
  44. O O
  45. 304
  46. Triplces hic aequalitates, factus ex tribus quadcatus.
  47. erx (jam et ipsi 16. 1. 4. quadrati.) Ergo et
  48. sanguli sed et ergs factum ex ipsis solidum
  49. aequetur quadrato. Sane si ties numeri illi
  50. sunt quadrati factum ex ipisis arit, non quadratam
  51. etsi autem ad non procedat contra. Tamen res
  52. in multis casibus succeder
  53. 25b
  54. 28
  55. 2688
  56. e
  57. 6, 216
  58. vicer
  59. a
  60. =m X elg X + A lgnX () m
  61. a
  62. a
  63. lvestrgandum qui pon quadrati in se ducti faciant quadratos:
  64. e b et bm
  65. In
  66. e
  67. nempe. b
  68. neb
  69. 25 491f +2l + 2f + 2fl +f
  70. sive 5f+6IF + 21
  71. +f + alf + 21
  72. s. 1 a8. 14
  73. e
  74. a+b
  75. a - b

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 9r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0017?run=74