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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 199v

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: 0.76.

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

The machine reads it as

  1. quid s sic
  2. (2)
  3. Sit 104 11X +21 y + 12X + 22V + 112yX etc =0
  4. et X = trationaliter ex Y, Z.
  5. et y = rationatiter Ax V, Z. hoc enim semper
  6. 25
  7. potest intelligi. Tollatur X per ex et y ex aeg. 1. per aeg. 3.
  8. fiet aeq (4) ubi solum _ v et Z quaeratur dx per aeg. 2 fiet oqui
  9. sit jam X ydx = co
  10. de rationaliter ex H, Z, dv, dZ
  11. iv se
  12. perco
  13. a rationaliter V, Z, per ae9. 3 et 6.
  14. habebitur
  15. 1x oq. 4 quaecatur
  16. e. do. d9 _ rationaliter er y v, ex09.5. sitt
  17. L
  18. a
  19. audem
  20. et per aequ
  21. I quae eq. 7 ita compo Ex 8g.
  22. tollatur L peraegus deniu ex aeq4 quaeritur eju differen
  23. tialiis v,Z d dec dz. dv= v rational. V, E Husope
  24. s
  25. ex x tollatur dZ cb quationum 8 et 4 opetollantur
  26. et ex 5g. 7. habebitur ag. in qua supererunt ed, V, di
  27. s
  28. set rationalis, si co sit simplex habebitur quaesitim
  29. revius resumamus; 10 + 11X + 21 y ere 20 seu gat. X, Y=D
  30. in qua
  31. =30+g1V etc posito _ 30, 4uetc. dari per Z. similiter Y = 50+ 5iv erc
  32. 50 60v
  33. 60+6cVen
  34. 40+41v et
  35. du nt rationul B v, de, dZ (posito h sdx 0. Ergo
  36. 4) 20+71 ve
  37. per 3 et 4, cd = ratioval per 5. dx =
  38. 16
  39. sit Vde =co Ergo per 3 et 4))
  40. uled
  41. Au
  42. ut
  43. 8o+divere de
  44. ge 3 vL 90+gIB ora C
  45. A0 HoVe
  46. te tren
  47. a
  48. 100+ 101 v d + WoIBM
  49. 120+ 121 V CK
  50. subestituendo X et y valores in 0g. 1. sit ratumlx
  51. c7
  52. 130 + 131V + ( et 122V etc. =0 posito 130, 131 ete
  53. a
  54. dari per 7. jam ope aeq. et ejus differcatralis erit
  55. A
  56. lx. du
  57. 190 +14 1V + 142 st ek
  58. 180 + 15IV + 152WV etC
  59. jam
  60. x 6y. (66 tollatur dv et v per 8y. 8bE
  61. siet q in qua 4Z dn v, y Cd de cot) 160 +161 veca
  62. dz
  63. actenus
  64. =170+ (7Ivet
  65. omnia acta sunt per meras aquationes simplices
  66. Sed nunc tandem opus sabstituere sollere
  67. ope aequationum 9 et 7. et debet haberi
  68. D: lz rationaliter ex y. Sed at hoc melias fiat
  69. t
  70. L
  71. 16
  72. C
  73. umatur potius aequatio arbitraria
  74. e
  75. de
  76. 100+
  77. iva
  78. 190 + c91V et
  79. ibi 100 et 181 et 190, 191 et. sunt arbitraride per
  80. E 2
  81. aequando 18 et 9 habebertur aetque 200 + 201V + 20E v et
  82. es
  83. quae aqualio debet coincidere cum aeg. B 7, seu debent saltem habere
  84. omuanem divisorem, adroque Talleudo v ope earum debet prodire
  85. u
  86. sesiditum evanescens.
  87. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 199v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0400?run=74