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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 139r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 138v); this page is its right half.

The machine reads it as

  1. Sed quoniam prolixum, et difficile lirc determinare possibilitatem
  2. ejusmodi calculo (quod per methodum de maximis et minimis, alibi facilius fiet:)
  3. nunc quidem rem omnem ab integro ordiri, ac et excimaginaria quantitate supposita
  4. + Q: et erri
  5. e
  6. Sit aequatio: Y -Y + = 4 - a B. sive y - 3q V, + a r. 1
  7. sinamusPonamus y + c. per:
  8. B
  9. 34Y
  10. a
  11. d1 +3 dcc
  12. 3dec + 5,
  13. a
  14. - 39d. -34C1.
  15. + a Y.
  16. sumta jam c. pro arbitrio quaeramus valorem ipsius d, efficiendo, hanc conditionem,
  17. ut sid ut ex qantitate terminorum trium secundi terhi et quarti
  18. c.34 e+ ar
  19. summa extrahi possit radix quadratica, sive ut sit 2d S3c
  20. Mm
  21. F 3dC - 39d, sive 1 3C- 94c + 3arC s (d), () 3E-3. seo
  22. a
  23. C
  24. Jam vider id hoc modo fieu non posse, nam evanescit d. et c nimis alte assurgit Alia
  25. ergo opus arte. Nimirma non tantum neccesse est summam horum terminorum esse
  26. hoc modo quadraticam, sed et hujus summae multiplum antitas cognita
  27. Nimirum efficiendum ut dimidis termini penultimus set media proportionalis
  28. inter tertro secundum et tertium. Nam idem inde sequetur de toto termino
  29. Caeterum ut hoc fieri possit aliter explicabimus, faciemus scilicet: y d X + ag
  30. fiet +dX +q d ag X . + 3dag X + a g
  31. 59d n. - gbd..
  32. +ar...
  33. = 39a9..
  34. 13ar b.
  35. et fierr. 3d al a9
  36. c (34 agb2Z
  37. 3ar63
  38. 3
  39. - 3962d.
  40. -68 bag. -19 agb
  41. +3arb7 + 3arb
  42. - 69 bd (a9)
  43. 392 agb3)
  44. 3arb
  45. 2 1142
  46. 30
  47. 4
  48. 3
  49. dX +2bd. 4b0.
  50. = 34 ag a g Y
  51. (39’agb2)
  52. +3a rb3)
  53. Od a 9 - (184 2gb = 56) a g 4bd + 18 a 9rb
  54. ft
  55. 18
  56. se
  57. + (9t b+ d2 + (36)9462 a9 d18. 9b ar d)
  58. 18
  59. t
  60. M 1d
  61. -69 q b agr. 9 at r 64)
  62. et ordinata aequatione.
  63. vil
  64. +18079rb.
  65. + 189462 a9.
  66. VTH
  67. 2
  68. = 189 b7 a97
  69. +39 a 9
  70. - 3arb9
  71. ubi commodissimum ut arbitror fuerit reddere huju aequationis terminum secundum
  72. nihilo aequaem et fet: 3 qb + 3a3r 9b - 59 g 10
  73. et b + ar g
  74. et
  75. b. 1a
  76. 292
  77. b
  78. an + abr 297
  79. 2
  80. ( aer 4 +20 a29
  81. 498
  82. + 98
  83. ag (ar +2046 sed satius tucit torte ipsa l et g.
  84. sumere aequales a.
  85. in aequatione abinitio habereturt 3G. posset fieri
  86. t brevissimo culculo epter de. . sed mobis, hic non licet esse tam felicibus
  87. 14
  88. .
  89. rar
  90. +6 a g
  91. -91a gb
  92. +99648
  93. -9a rb9.
  94. 1
  95. = ar9 +
  96. e
  97. X 12b X +
  98. X +
  99. FaGX 2bagX agb
  100. +3arb a3gY
  101. C39 a96)
  102. (3a r63
  103. vi
  104. S, loco -9
  105. b 50.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 139r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0277?run=74