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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 135v

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: 0.79.

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. 134r); this page is its left half.

The machine reads it as

  1. Videamus an aliqua arte formari possit radix cubica hujus quantitatus
  2. 1 + Y- 1.
  3. Reduxi enim omnia problemata ejus modi ad
  4. inventionem hujus quantitatis
  5. unde GF 2 +b Nam G ri +1
  6. Unde aequatio:
  7. est
  8. +s1
  9. +1
  10. 83 -68 =2 fi0
  11. 5
  12. d F) 3 + 1 + s- 1 + 591 - s- 1
  13. +3 ) 1 + s -1, = si X
  14. At 1+ s∞1, 2 1 - (∞1 a. 2
  15. soluit tamen et loco quantitatis 1 + L 1 vel etiam haec
  16. ad hiberi+
  17. ut autem possit radix rubica extrahi ex
  18. cum alia radices fiet: ab 8 +. D f-1. foet 8:
  19. H 3 + 398 + 98
  20. et d 83d
  21. 93
  22. et G 9d2
  23. s
  24. e6+9 2497e
  25. 89h.
  26. +389Y -1
  27. 97
  28. 1- 1
  29. 1 +9
  30. quoniam anten difficiter videtur extrahere radicem ex d + s-1. dadeor
  31. ubicam
  32. resoliere aequationem 32 (idemque est de aequatione 33) ideo non videtur ipsas
  33. vel C quaerendas; sed ipsas h. Et l. rursus explicandas. Ponamus scilicet, aequationen quod est . . . ar 7 +ar s-1 2) Et conferendo memibra horum duorum
  34. 18 non esse ab initio datam, sed tantum da tae ab initio praeformationem Ut
  35. si data ab initio fuerit
  36. Co + - aH C - aeL
  37. (46
  38. a5,
  39. het: (y X - e H y- et 10, qua coincidit cum aq. .8 qnem
  40. sio num LyhA
  41. et H
  42. 2L
  43. fi: loco
  44. 47)1
  45. = ah Y - al 570 adeoque loco aequationis 27 ita scrbendum
  46. ira ac appellando p S1
  47. et quia ex comparatione 47.
  48. fiet bl (e2
  49. (8)
  50. erit.
  51. hp e H. et
  52. -aL , + 2aZC
  53. 251
  54. 13 2a
  55. =3tC
  56. 0)
  57. a0
  58. (61)3
  59. b. a + 2 C H
  60. 1 aL
  61. jet
  62. 2743 a
  63. a
  64. Quem valorem inserendo in aequatione 32
  65. +3 bl 64
  66. +3c2F
  67. +3c t
  68. = c3
  69. Io habebinus
  70. + +34 a 51 C - 4 +3 - La + 21 5) a e 5)
  71. - 3tc
  72. cinus aequationis spe valor ipsius eodenique pure
  73. ac sine ulla determinatione habetur est enim:
  74. etiat
  75. nemorabitis est calculus, et ilud inter caetera
  76. considerandum, quomodo ex cubo imaus nario ex
  77. et distorta ex t +cs-, in se ducta recollectus
  78. hic prodiert verus ex
  79. 2743
  80. a6
  81. 251 (53) = La +2Le5i a
  82. a
  83. =L, 456)
  84. ec Hetec
  85. 2H3
  86. a2
  87. 1
  88. + =C
  89. a
  90. 15
  91. +3ct
  92. +3et
  93. 3
  94. +3et
  95. +3ct
  96. La, l- 3ct- 3c+2 +C
  97. +3∞2L51a, + + 4a51
  98. +3CF
  99. +3c +
  100. c3
  101. -37c
  102. Porro + et c. manent arbitrariae. Invenitur tantum e. inventa e, habetur
  103. h. et l. allude jam b. et ope b. l. h. etiam S. et D Hunc calculum
  104. ergo absolutum restat ut eventu comparemus comprobemus compendii
  105. autem causa +3 - 3FC vocemus B
  106. ponendo B, f F - 3c.
  107. (60)
  108. Et
  109. C3 - 3c+ pocemus EC. ponendo E F C - 3 +. et erit C Ha S La, D+ +5C
  110. (61
  111. 251a - DI La ndea
  112. Zc2.
  113. Resumita jam oquita
  114. d + s1 conferendo

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 135v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0270?run=74