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Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 115ar

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: 0.81.

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

The machine reads it as

  1. Binomia cubica
  2. imaginariis
  3. +34 f 2 Cabice aequ c a + s-b cubire aequ. a134d- b- 2
  4. mixta; an ab illis liberanda
  5. vide altera pagina
  6. sub finem
  7. estenor in
  8. calculo
  9. datur. (2
  10. 3a
  11. seu aequ +a + 3a Y- b
  12. 3ab
  13. + N- e
  14. sit C aequ f2 et fet fb
  15. erit: f aequ 3 a - b. et b b aequ C
  16. et
  17. 3a- b b aequ C. Hinc
  18. Ars inventendi haec, ut
  19. l et s-e sic tractemus ut si
  20. Addanturs a - 6 ab +9 a b n 9a qu +1
  21. a +b
  22. 1
  23. a19 ab2 - 6ae b1 + 16
  24. a + 3ab + 3a b + 1.
  25. datur et + a 3- 3ab, l. et 3a p. b e Eagu
  26. a- ab riag.
  27. ero 4 abn. _ ag. 1
  28. lam
  29. aequ+e
  30. +haet hb a aqu n a 9
  31. m..
  32. tu
  33. oriatuo
  34. 1 a + b aequal. dato 9
  35. maedmba aequ n
  36. et ordinando tha F h
  37. +a - 3ab. aequ. -
  38. ql
  39. + 3a b - b3 y5.... e
  40. a- b aequ +a 211C
  41. +bs
  42. a +b aequ g
  43. Ergo 2a aequ a ve +b (C + 24
  44. a- Site Ergo 2a aequ. 2a stre t 9
  45. seu a = ea Ite aequ 94 -= 1te
  46. +
  47. equ. l’+e.
  48. te
  49. Y Pte
  50. quod si ergo l+e p 27 l+e + ile func videtur
  51. res proddere
  52. Re sumamus:
  53. 64
  54. a + f- b13 aequ. + a + 3a s- b aequ fa p+ 3aG.
  55. aequ ila
  56. Sit satum binomincus.
  57. in stnte
  58. - 3ab
  59. 3ab = b2 S-1 3ab - b35
  60. +3ab7 - Y
  61. + C u- 1
  62. ab F video nullo modo uliliter componi l et e.
  63. a + b+ ab ad extrahenda radicem: illud tum patet +a - b +3ab - 3 ab divid.
  64. qu l+ e dividiposse per a - b. item a + b = 3ab- 3ab divrdi posse per aut
  65. Ergo tre 1tC d
  66. a +
  67. et pa
  68. abtab
  69. ja
  70. aequ a +b +2ab
  71. Porro etsi in ipsis eti
  72. ura le
  73. l- C
  74. - 3 ab) aequ a +6 - 4ab 2. Ergo He + aeqo2 aerib
  75. aqu a +b- ab
  76. et
  77. a b Vaequ.aerb taab
  78. a- b a +b
  79. ji item alaaLa
  80. uro 1. er9- 1oa b Aba t ( b + be sin ralriber abelia
  81. sei altbe aequ. ~- b+
  82. e compositis es non sicedat succedet Tamem
  83. dni eorum quadratis compositis. nam verum est et maner a4b aequl40
  84. Ergo: al +be aqu. ga - gb. et ab aqu al +be. Gui 24 ag altbe
  85. qua l e g aequ 9 - 16ab
  86. al+bE SCo YC
  87. a + b aequ. 94 pelmlanu
  88. 2b aequ g- al-be. raaqu al. be distaliibe
  89. baqu.
  90. pasma rersu
  91. b
  92. +a +ab. 7 ab F
  93. a +b + ab
  94. O
  95. ab
  96. et l-e
  97. e ab
  98. tab +ab
  99. ta

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 30, fol. 115ar. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068124:0231?run=73