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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 216r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 215v); this page is its right half.

The machine reads it as

  1. Resumamus: X qL
  2. (+ibe 2b) p
  3. Pest Desmutionem residua aequatio poterit
  4. iterum divelli in duas nempe;
  5. 1 as H 2 54 et a ta as
  6. X5 b + c.
  7. NrI p a 2b
  8. +C3 -af
  9. Ex quilus prior divisa per af + c, dabit:
  10. a ita 1
  11. it poime fo.
  12. unde le
  13. ma - a f
  14. at + c-a
  15. = mEY
  16. qui duo valores ipsius L aquari debent inter se, et
  17. cum unius sit nominator sit a f + c -af, alterius vero
  18. X1 AB n + nC, so nt 5
  19. Variis modis Varii modi tentandi sunt, quibus fieri
  20. posit, ut radix ex factis extrahi possit, quae ex
  21. factoribus extrahi non potest,
  22. X FF B) m + Nn-na +
  23. N m
  24. m n ramu
  25. Ne Ar
  26. 8f + c3- mr
  27. Hactenus verissimus est calculus, sed jam video cur ipsa m
  28. non posse possit tuto explicari pro arbitrio, ingredietur
  29. D(+ a, + +n 4F D (t) an ri qr
  30. enim in ejus valorem ipsa X seu at +C quod alteratet
  31. e ud x ps anabe abn 0 an es aen
  32. videamus d an divisi possit: ben Ban + Ca an
  33. erit es a mAtq
  34. sive n C+g + 2q n (+ 35 ) ( +4
  35. valgrem. Formam ipsam aequationis datae ac fatis niulilem
  36. XV b 1() an + 2nabe + Ct0) a n
  37. + Aq X.
  38. et m e L4. et m Y (+) 93
  39. +. (12 ()
  40. Sed cum signorum ratio suspecta censeri possit,
  41. hinc resumamus adhibitis literis pro signis
  42. emarna marna sier:
  43. N’H v’ m
  44. fuisse divulsconem redivimus enim per circulum ad illam
  45. epsam aequationem i quam jam ante habueramus:
  46. a 1c n 3 4at texms at
  47. 1d ab + 1 a bs3 an
  48. pr XN L s
  49. XH a B an
  50. +D in X
  51. et aequatio novissima erit:
  52. sit at +e, vel afere af, 2 af + c. itaque dividendo Xe V
  53. Utrobique per af +c fiet:
  54. n a - af r
  55. x 13ab
  56. an
  57. manae
  58. +com+con
  59. + 2vam X
  60. jam data est aequatio:
  61. X aq X + ar
  62. quam comparando cum inventa, fiet:
  63. M d4. et ma
  64. outa, et me paqu
  65. Altera aequatio collatitia est: sed sulis hcjam
  66. ex generali cum ponitur X b+ c colligitur
  67. hunc culculum fore inutilem.
  68. Inquisitio potius omnis redire debet ad modos, comminiscendi
  69. imaginarias, quarum summae, et cuborum summa, et
  70. facti, imnus reales.
  71. X 1O n + 13sen - 13) 1 - n
  72. XN (3an +(BS-an, + 10 an-an
  73. x
  74. rationales sed factus ex parte in partem, etsi contigent
  75. quantitates acales non contniet tamen rationates
  76. Huic malo an sic olviam ibimus? sit
  77. des sen et erit d n et d n In
  78. cubicam tadirem fingere
  79. sit b tulis, ut ejus quadratum ductum in de, faciat esse
  80. quantitatem planam. sit ergo )t
  81. quod ad b. itemque ut quadratum ipsius sit quantitas
  82. Plana, quod an ila comminisci licebit? sit:
  83. 1I() n P.Sp + n.
  84. b aa
  85. a +tat
  86. l a + b sarbu
  87. ej b 10
  88. bet 10 Lus arbs
  89. Itaque si sit E e 1C an
  90. producta ex radice cubicis quadratis
  91. conferi polerit cum plana:
  92. XrI 466 an +4 1bn
  93. Ergo X a b10 an + ct0 an
  94. ponendo af p, 3bc. vel
  95. b1 at sequetur
  96. destructio quam notatam
  97. fnessisi
  98. +a10) an

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 216r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0431?run=74