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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 123v

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: 0.73.

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. 124r); this page is its left half.

The machine reads it as

  1. 1) Nun et 1 L. al.
  2. V) al -X 11(. al - X - Z2
  3. 25.
  4. diffra 2di et 3.
  5. Diffra imiet secundi e
  6. fier X +Z1 (∞) + 2EX + 2Ef (+ X) + 1Xf + f2
  7. s) quadrata a c c + X +F
  8. sive ponendo 2ZX + ves = - X) f. divitisque omnibus per X+f fiet 2C -2
  9. s
  10. Summa Numeri l. et Idi 2 al - X pd
  11. XH + 2dg + s. far d sioc. Z A + 2d9 a He n 7, 13. 2
  12. d- y~
  13. Summa Adi et Isei quadinto seu ( Z -x . (d + adh+ h. Ponend,
  14. isdiii sive prod substituendo ejus valorem, fiet - s m X 1 Emha- hs n + h~
  15. Spp. e 2
  16. nnt
  17. o qu = X
  18. Ergo X H ad co + 2gto + E sive =X ei 2d 3l + 39 (F B X. D.
  19. Ergo XB 3. am - Z H + 2dg + g fiet : - d g - g 2d) sive g1) p. Hoc valore ipsius
  20. 552. EBI.
  21. vH2. g. inserto in Aeq. D, fiet -XC.
  22. du 10
  23. 22 2 aequatio C in qua proz. inseratur ejus valor dg vel 28 p
  24. sioe 2HZ
  25. d,, 0 +ZH2+2
  26. fI - 13
  27. dX F 45 1 df + 2Xf. + c2
  28. sive 3219 N 16 fier . - -
  29. ejus quadratum
  30. 1681 p s 1178
  31. 2257 Num 1.
  32. 2462512
  33. d e7 - C
  34. 1B Nun H.
  35. Z
  36. H
  37. q
  38. N
  39. 22⊓ ∞1 et 2781 dine 34
  40. =A 2- 13
  41. ---
  42. f) r255+ (
  43. - F + 8, fier 451 9- f. 1x
  44. 26. - s21. 13 +
  45. atct64 1
  46. 1681
  47. 225 7
  48. iios
  49. Ergo = Xus py 2de4 + 2le q +qe
  50. osi
  51. va
  52. eone Xp) - F + E
  53. ay. Q, fr fier
  54. =518 +7. 5), 3f(
  55. vex H ab V eX + in
  56. Ego ipse yt
  57. M EI
  58. = X ( p a de XY + 2CXY + rX sive XB 12der X + 2C
  59. 275 +fd
  60. sumum pntri trimi Num t al secundus at X al. tertius ~ N + al ded- ler
  61. summa prm et tertii tertus a Num I. al. Tertius semndus Tutius at X- al. secundus Z. Xtal
  62. ita fit; ut summa primi et tertii item summa erundi et tertii sit quadratus.
  63. si intelliguntur d+ V primus, d d y secundus d - y - 2 c0, certius
  64. reliquis duobus qualuor conditionibus erit satisfactum, conferendi ergo singuli
  65. singulis, erit al e d+3. secundus 2x d-y confundus cum tertius:
  66. Tertius 29- 2X 4 d +Y. conferendi cum reliquis, secundus secundo tertius certio,
  67. si conferatur secundus secundo fiet aequatio inter: 2x) () er 2X- d C7
  68. et fiet aequatio inter d et X. Erit ergo prinus Terminus ) d +Y. secundus d= gr X
  69. Tertius az. d ag
  70. d + sy F= +co sive fiet Z
  71. V+ co
  72. C + +
  73. e 1 f2
  74. Cadis cexosa hs cu e re. cB). uro Xr eg agle, Cn facap ola it q Rrepetam
  75. 45
  76. 2TI S1tq Bgra
  77. +li + 1
  78. A + (seu ge + _ 212
  79. alg+
  80. unde vex ( 2x +X evmfx XmnC
  81. Unde 2VX + 2vm + 2xm + m p0.
  82. Unde V A
  83. = 1 2V
  84. Inseratu hic valor ipsius X aequationi O fiet: 4ZdeY +rerla 24t)
  85. -1- v
  86. sue fiet (Z) + y + Co d A (2) + ZC + P, on fiet Z
  87. 2
  88. = 2X - 2m
  89. m +2X m
  90. 2562
  91. cujus quadratum:

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 123v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0248?run=74