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Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 8v

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: 0.75.

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. 9r); this page is its left half.

The machine reads it as

  1. Effuriendum ee semper ut tot ia qua obfineantur aequationes simplices quor sunt occurrentes
  2. eninque in finem, etiam ipsas varie in ter se componere licet.
  3. 30nO 00000 1
  4. 301300660
  5. 000
  6. vlbo vllv
  7. D V
  8. V vD
  9. qV
  10. Ergo b
  11. pa
  12. X 16
  13. (1X + I8X 1(X), 2bX + b
  14. 2XF + 11 X H c23)
  15. 3X + 12 X ( d- +
  16. (4X, + 13 X ((4X) + aXC + e2
  17. 6 X + 14 X _ fux+
  18. . pone es . Ego, fa
  19. Inveniae duas quadratos, quorum summ numorus ous
  20. lb p
  21. X + qV
  22. 12
  23. pro 16 ponc 2Z fiet PX H X X+ Z p0. eti n
  24. 2Z I6B ∞ = Z2, pone pro lb, ponc X p. pro Z, pone X Y fiet
  25. lb PXp L + XY, sive p p X + XV. at idem pp L. Ergo X + X 1 , lb
  26. a
  27. ne ponendo X ⊓ sZ, fiei P= R F1 Z
  28. quaeritur. Multipicetiu, fery, fiet yt + ly + my +n datur
  29. 25 + 9 p (34
  30. es summa omnium st +(y + my, quin i summae omnium re
  31. quae datuo datur et summa omnium y+, + lyr, ergo
  32. differentia omnium y H + ly + mX p - n
  33. exhamitur dissia Y IY etiam exhamitur
  34. etiam sun diffra omnum et ergo
  35. et diffra omnium my cxhaurituo;
  36. 22
  37. .cuborum dcincess ab unitate
  38. 552 + 473
  39. H bc.
  40. e + lf. fer
  41. 2c
  42. y +ly +m + n 0
  43. + 1x L F ++ Z (t Z +- o quci na l. et n. dam summi omnum in, quopipe varcentae
  44. fiei pZ - 72 X fiei P = Z A
  45. ai idem X pX F lb. fier: 1bp 1+ 5. Ergo debet 105 420
  46. Nluncus datus ponntu v + d, p X 1Z per ∞4 dl V4 NC c + _ q Ergo fB N
  47. 1b - 7V p X, pone lbp 1Z
  48. 10
  49. fet (X2pX + V et, ponend r. p PX, fei pX ⊓ 1 + 5
  50. hac methodo Ib -, esse quadiatus
  51. PX Y ( b + 5, sive (12
  52. sed et hoc nihil quae d deplicanda
  53. iisdem
  54. e
  55. 1
  56. si jam Ib sit quadratus, et E site quadatus aeie ud aoditus ad 1. fuccet quadralum,
  57. quod facile est extrahi potest radinhobii et socutum est problema
  58. Esto PX +, X + X X
  59. pone X + 2 F +2 +Z ppo
  60. x 1
  61. s
  62. 10l - b r 11 - 4b5 ∞64 23 - 8029 + 1625
  63. Habetm ego d. cujus valor inferatur
  64. aequationi X b
  65. 1ol-b
  66. ergo X lb + Z p0. sed hinc nihil si munerus datussit quadiatus clia metaodo
  67. res facile procedir:
  68. eg
  69. 1b cZ 1 X aZ
  70. 2
  71. eropr summ 42 quadiatus
  72. radi
  73. 2
  74. 553
  75. + 52 4 33
  76. 503 +2
  77. (3 +2 +42 + 33
  78. 3+ 2
  79. c. jem pone X 5 e + f. Item fxp, fl +C
  80. fui fet 8 a 2ef +5 + Z
  81. Xe+ fe +lf
  82. py C. pore Zp e. fiet:
  83. +e 4 2ef 4 f +C, C - pro e ponc fr l. fier:
  84. eisenis
  85. 2
  86. 1
  87. C. 9. v. +
  88. 101 - 1b Y 131 - 40
  89. est
  90. honc b,
  91. s600
  92. qu
  93. datur et summa ometium ny
  94. x
  95. Xealf 1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 8v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0016?run=74