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Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 68r

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: 0.74.

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

The machine reads it as

  1. ex
  2. RC X. BC aequ. y. RC qu. r. fiet: r’aequ. X +y.
  3. posito curvam esse circularem.
  4. Hinc qu y aegro Sr- x et Syex aqu. SS x V
  5. aequ. spatio DRBCd
  6. sumamus alium literam quamcunque 2. habentem relationem ad X
  7. qualemcunque eamque substituamus in esus locium, eruisque stgemus
  8. et recationem etiam ipsius x ad que investigemus (adeoque
  9. tollaum X et dx ope Z et aZ. habebitur nova aequatio
  10. exprmens aliter valorem ipsius V. Unde fit ut tam
  11. multis modis ead multae haberi possint quadraturae
  12. sigurae ex supposita circuliquatoratura.
  13. sit X aequ. a + b7 + c7 + dZ + e7 etc.
  14. fier Ex. aequ. 0 + b + CZ +0d 2
  15. ab
  16. sedeoque fiet: vaqu.
  17. L
  18. = 2be76 = CZ = 2cd2 = 2 ce Z+- 12 9 2es g
  19. in
  20. 141
  21. d
  22. Xaequ. liz + 4 3co.
  23. V aequ. S Ie -b3. 2bd
  24. e0+2
  25. o + βC ZC1
  26. in
  27. 22
  28. d aequ. bd + cod
  29. -4uo b 174 cod,
  30. co.1 d
  31. cont qa
  32. cox
  33. d ph erit h H r - (I bZ + d 2 b + cod Z
  34. seu h A
  35. -1
  36. 2 212 92603
  37. rb + 2r badZ +r cod
  38. ec
  39. co+1
  40. cotB
  41. 1 +cod Z
  42. d
  43. r -, Eegrgabo q , dZ
  44. addantur pro arbitrio: fZ q + 97C dz sed hoc forsen canale
  45. Xdu ebe lboz
  46. tantumque calculum auget.
  47. sit (Xdu aequ. n
  48. d
  49. vaequ. a - 2ab Z 2acq = 2 a d z - 2 a 23C4. 6Z - 2 be 23. 2bd2
  50. v
  51. C
  52. videtur explicatio ipsius X.
  53. L
  54. 1 d s y s0 d
  55. matilis
  56. 1 (sr- X a. Ergo v1) _ V (Fr X dx
  57. et 2Vdo seu 2VFido do (Fr- X Ex + V
  58. Sir- X do A RBCd. X dus EDC. Y,X do
  59. sr- X
  60. (N - X x = (X d aeqo RBCE Xy p X X sr X
  61. X
  62. Nr- x (Ze, 1
  63. XR n e
  64. X aqu.
  65. = Z7β
  66. XE,1.
  67. = X +Y X + P B X
  68. 21B
  69. X+ rXIa- x + X + ZFB, B X
  70. Z+B
  71. 2+ - 1
  72. +2+ B, 2+B-1, β X2+ -2 enc
  73. jam =X +X aequ 10. quia B infinite
  74. parva. itq ponendo equi evaneseunt
  75. etiam quae continent (32. Ergo ponendo
  76. 8
  77. 9
  78. 2
  79. 5
  80. 125 2401
  81. ae 1. 1.
  82. 2401
  83. 121 13,31
  84. 1. y. 9. 7a 72 Gya
  85. 1. Y. y, 7-1 y, 7 -1, y- 2. y
  86. 1 2
  87. 1
  88. X+ β p, X + BX.
  89. +18, β X erc
  90. Bego. au fiet: dX equ. ZX s. si Z onstongalius nog.
  91. 196
  92. c0-1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 68r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0135?run=73