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Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 1r

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: 0.84.

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. 2v); this page is its right half.

The machine reads it as

  1. (4
  2. D2)
  3. 10+2 uX +ux A d
  4. (22
  5. Maii ibceq schem
  6. 20 +21∞ + 22 X aequ. N . Unde multiplicando seconda
  7. per cuucem secundum coefficientes terminorum altiorum, fiet: +10. 22 + 11. 22 X ae qu. N
  8. -12. 20 - 12. 21.
  9. Unde velut ex A et 1 fit 6 ita ex 4 et 23. firt (24) si in 6 loco 20 scribatur
  10. 10 22 12. 20. et loco 21 scribatur 11. 22 - 12. 22. et prodibit Ruasus multipli.
  11. 1C Nl1 10. 11. 11. 22. 22 do sursus multiplicando per ciucems
  12. )E 22. 22 secundum coefficientes terminorum inferiorum
  13. 24
  14. firt: Cb + 11. 20+ 12. 20X aequ. N. Ex quibus duabus aequationibus
  15. - 10. 21 - 10. 22.
  16. 23 et 24 multiplicando per crucemo secundum terminos altiores facile
  17. (25)
  18. 2, 3 + risegro
  19. 3F1 2. 20 (- 12. 21) 21922
  20. F- 10. 11.21. 22 +10.10. 22. 22 ((25)
  21. =IL. 225 fall. 26 + quade 1. 20 aequ N. seu distincte scibendo +
  22. F 11. 1B. 20. 2L = 10, 12. 20. 22)
  23. = 11. 12. 20.2) + 12. 12. 20.20
  24. 10+HX + 12 X + 13 X aequ. N 20+ 2IX + 22 X aqu. N. Unde multiplcando
  25. per crucem secundum terminos summos fit: +10. 22 +11. 22X + 12. 22X aequ N.
  26. 1320 13 24 X ( Z dXX
  27. at secundum terminos infimos fit + 11. 20 e
  28. 10. 21 -F, 10
  29. = 13. 20X =13, 2IXX,
  30. (29)
  31. ex aequ. 26. et 27. per crucem secundum en fis: et. 12. 20. 12 + 12. 21 22X aequ. N
  32. sumnos
  33. - 13, 20. 21, = 13, 21. 21.
  34. secundum infinos sit: 10.21. 22= 10. 22. 22X, (34 - 10. 2_ - 11. 2222
  35. 1D. 20. 22 - 12. 20, 22.
  36. 13, 20.26 + 13, 20.21.
  37. qu. aN.
  38. +13. 20. 22.
  39. nullibi opindr
  40. Ex aequ. 26 et 28. secundum terminos summis fit rusus, equ. (30) at secundum nenta
  41. terminos infimos fit:
  42. + 11. 20. 21 = II. 20. 22X aequ. N.
  43. - 10. 21. 21 = 10. 21. 22.
  44. - 12, 20. 20 = 13, 20. 20.
  45. + 10. 20. 22
  46. Sed opus est ut aequationem inveniamus in qua omnino absit X. idque
  47. exaego Nempe ut ex aequ. (4) et (2Y. fiebat aqu. 25. ita ex aequ. (26) et 27)
  48. faciemus novam si in aequ. (25t pro 10, 11, 12, scribamus 12c2, +122 f 12. 22
  49. a
  50. c -1 2. 21. 22
  51. 3 F13, 21. 21
  52. f - 13, 20. 20
  53. g - 10. 21. 22
  54. =12. 20. 22 i
  55. + 13. 20. 21 K
  56. G
  57. =13.20) - 13. 21
  58. (32)
  59. ) aequ. N
  60. ubi nota cum aab a c +d tellentur in et fty, non posse aliquid driri compendium,
  61. quia tilli posse af esse af ad be ae itam fieri h eq X df +k aequ. N.
  62. et hinc sublatis arminis in quibus abest 22 fit ut omnia dividi possint per 22
  63. hi et b Eri bg aequ hi. et denique cf + 6 ik aequ. N
  64. unde scribendo distincte fiet:
  65. + 13. 1. 20.20.20 + 13 13 28 29, 8] + (3). c0. 13(2D. 21. 22
  66. = 10. 13. 21. 21. 21
  67. +10. 10, 22. 22. 2
  68. +13. 13, 20. 20.20
  69. = 10. 13. 21, 21. 21
  70. + 10. 10. 22. 21. 22
  71. is
  72. 20. 20. 22
  73. 202
  74. +8: 13) 22. 21 22
  75. +H 21. 22. 22
  76. D. 12. 13, 20,20. 21
  77. - 10. 11. 22. 22. 21
  78. + 11. 13. 20, 21. 21
  79. + 10. 12. 22. 21. 21
  80. + 12. 12720, 20. 22
  81. (2) I1. 13 S
  82. + 11. 11. 2 20, 22.22
  83. (2)10. 125
  84. 11. 12.5
  85. Calculus est probus nam praecedente pagina, alia via, eundem
  86. reseri.
  87. 2151. 20 - =2 511. 20X
  88. -10. 27
  89. +20. 1220 +20. 13. 20
  90. iop
  91. O+ DX - ~ D, 62 = N fiet - 06+ 2D =0
  92. = 11. 127
  93. b)10. 13S
  94. s. et.
  95. in aequ. (29)
  96. 22 assurgit ad quadra
  97. tum, non 20. in aequ.
  98. (31) 20 non 22. in
  99. aequ 130) utraque, sed
  100. (32)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 1r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068241:0001?run=74