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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 133r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 132v); this page is its right half.

The machine reads it as

  1. esto at g ei in a H D H Z. Ponendoque a e fl, fiet
  2. ideoque
  3. a
  4. item is
  5. -29fb
  6. +2 fn p 5 vnf enf
  7. M
  8. +P
  9. f. 29b
  10. e
  11. s
  12. V 2)
  13. -fg2(a. fg bt +gg apb 1 fbl 9 gbl2, B omiseram
  14. onamus a e s Brnus forte ad rem ita perveniemusu, aequatio inventa erat
  15. la + n F, 2nal +nf efn
  16. drantal foligs
  17. fiet fb + n e, 2bn + nf - 29 f
  18. 2 b +f 229
  19. suntisque fb abn+ns. erit, nt - 297
  20. 1 - 2 901
  21. vel sumta n e gh, fiet gh
  22. 2
  23. en
  24. d
  25. +Ai
  26. +sn = f 2
  27. vel snt nterio, set p
  28. 2b+f-29
  29. , sive h =2g et supra 2fb ⊓ 2bgh + 9hf
  30. 2b + f-29
  31. 26+f 29
  32. Atque ita f. et b, et per consequens a, primus numerorum quaesitorum, sumi possunt pro
  33. arbitrio Nam - 4lg
  34. Contra intentionem
  35. 2
  36. 2b+ f- 29
  37. 2 fbl, omnes hae tres linec oscendent ad quadratum
  38. 2b9 +9f
  39. es
  40. Rectius ergo resumta aequatione suberiore et ubi posita n b, vel reductis
  41. Terminis fret: 462f +2f b -4gfb, +2n b + n f -n 954bn +abnf 4bng
  42. e
  43. nsb + 2
  44. - 2nf9 = 4g 2 n X
  45. Ex his teminis pemus.. 4gf b 1 nf Enfg 4gn ponamus 49 p, +s p,
  46. fietf 2fpb...
  47. .. 2f2b 4gfb.. + nf- infg- 4gn faciendum est ergo, ut explicatione
  48. unus horum quadratorum alterum evanescat, quem in finem explicemus non g, sed f.
  49. poncndoque f et 20 + P, fiet nfa e + 4gn + 4gpn + p n
  50. sed habebimus tamen
  51. et an + 4g b, et = 2ng et in summa stabunt, n 4gn. - 290 + 44b - +gn
  52. quae u ut faciant 0, ponenda est 2M Ab n (- 2b
  53. -n
  54. et b5
  55. rede care fiet fa 138 a d a3 1b 2 fF 9 Net 2t bf - 297
  56. un
  57. a
  58. et ag fet ispap
  59. nf- inf infp, +nf- infp- npt
  60. Ergo in aequatione fb + n i Xbn + nF - 2gon
  61. 80ct 3
  62. A
  63. 2(+f -29
  64. 2
  65. n +f-29 reductaque equatione, n + fa egnr aeg
  66. C
  67. 1) =n +nf - agn, sive -7 +n F 9
  68. - 4
  69. ponendoque fg vel - n + fn - s
  70. de
  71. W _ fn - 29 + p, et f7
  72. +f - 29
  73. vL
  74. 4
  75. sive +2sn-f +fg - 2gr
  76. n + f.29
  77. + sgr 10
  78. 59 -gn + 4970 Ponendoque
  79. fg(. 29+9p. quibus valoribus
  80. in aequatione superiore in locum et fg, substitutis habebimus: gn t sgp - p - gre 70
  81. sumtisque pro arbitrio n et
  82. 2
  83. vute
  84. 292fV 1 ∞ + p
  85. Ideo sive Talut+
  86. C
  87. +
  88. 1
  89. 2gf
  90. Ergo g et
  91. 2C +fb- 2pb
  92. ponumus nanals
  93. svel positas a
  94. Xb.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 133r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0267?run=74