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Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 8r

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: 0.71.

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. 7v); this page is its right half.

The machine reads it as

  1. e
  2. tco
  3. Resumanius: Co X + + c
  4. L3V Ercox
  5. d 4XYC + Co. pone cS ( R +4 Al 17 2
  6. el a ri
  7. cora + ul
  8. fiet 8Xy r 87V + 8eL = V -H2 et fiet aequatio correcta talis.
  9. es
  10. 180 + asta dud () + 15 vl, a+ l Iv(B V (LB)
  11. aalac
  12. s2
  13. ax
  14. 45va + 25LA - AlVA- N + 850l + 5F (- lv (17 X l, 2 2(B)
  15. v
  16. Ita dividi poterunt omnia per incognitam eandem. Ita dusdi poterunt omna
  17. per aliquam incognitam, non tamen video quide inde lucremur
  18. X +Z (, SV + 2 Z4
  19. X +Z +2xZ 3l + 1XZ.
  20. Ponc
  21. x 2XZ B2- 3l. B
  22. sumatir quadratus 9. ab eo detnbati
  23. a ut 2
  24. vr 31
  25. 2X
  26. e
  27. et sict X + r - 5 RV sive X = V - 3
  28. Unde X - 2DX fV 1 3V ∞ VX
  29. X + V. H ∞X +3l. ponanus
  30. DX.
  31. Nihil Hic neque destractionibus, neque
  32. M
  33. Si duae istae orvationes resolvi possunt 3.B p 4XyCo + Co et Al + Ex, yl
  34. M
  35. depressionibus agi potest
  36. habebimus solutionem, ut patet ex dictis. In aequatione posteriore pro Xy substitue
  37. ejus valorem exprioe, fiet nempe 2X Y 313+ cot et fier posserior
  38. acd
  39. 313 + co l 4(C8) ponntur XC, sH + s
  40. 2XI(+ 31y + co y, 1V
  41. fietque 3l + 25V 4 3l +Cy B 2 +Co L sive divisis e ponatur
  42. et t sy L
  43. 3
  44. l- 5
  45. 50 +35 V, fiet si + y p l.
  46. Ergo 1s + ls a yl 45y 1
  47. qui valor substitnatur in 45y B l, fiet 4sl - 4s p Y 1 save
  48. Ergo SA ( sergo 7H Z
  49. 25 - l0
  50. a pete
  51. conceperam aequationes quas
  52. 45 - 45l + l p 0. sive
  53. 3124arce, et xl + Exyp
  54. 3
  55. Enor futu
  56. Posito l. esse unitatem vet. a. numerum datum.
  57. X + Z Ba. al. X, 4X Y +X
  58. A5 al +4X
  59. et ponemus a12 ( 4 7), aequari quadrato (4X3) + 4 xyco + c0
  60. Sequetur X + Z aequari radici hum quadrati, sive X + 2XY
  61. u
  62. 2Xy +co
  63. e
  64. Habemus ergo aequarones duas al ⊓ 4xyco + cot D
  65. eb et XI + 2xy p 2Xyl + colO
  66. D2xy a cont quo vnlore inserto in posteriore, fieb: nl +V a cob aC
  67. Ergo X + 2XZ +
  68. 8
  69. co
  70. 2 X((C
  71. 2
  72. aa
  73. sive X 2c0X1) ay -coya(2
  74. 2c0x - 3B + cst ria + cot, sive coxts aV: G
  75. ex
  76. pr aV in
  77. cx- col sia(X B (X - cot. jam co aH. Ergo = sX B aV. 47oc OV.
  78. 2 tatis ergo positio fien nequit, consiverem Restituamus destracta; fier
  79. aae le ds a et uote
  80. a
  81. Ronamus yp - 1. D
  82. 20 1 p2co
  83. Aequatione inseratur ejus valor aequatione et pro Y ejus vator Dexeus 6. fiet
  84. (0
  85. HeI
  86. quarum
  87. resolutio
  88. quia ele-
  89. gans, ideo
  90. menorand
  91. potest enu
  92. senire ad
  93. alias

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067996:0015?run=73