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Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 1r

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: 0.68.

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. 2v); this page is its right half.

The machine reads it as

  1. Septembs. 1614.
  2. in numeris exequenda. Methodus solvendi problenuta
  3. +c
  4. + c
  5. e
  6. co
  7. (10) co
  8. HI
  9. Lc
  10. 4470
  11. t
  12. e- rect.
  13. 4 +cy.. appellemus per brachylogiam Z.
  14. 1 + seu X + d+ Ey HZ
  15. Unde ut tollatur Terminus 2du fiet:
  16. Quadrato, quod quadratum, memse pristam
  17. primem aequationis 5. latus, per trachylogiam vocabimus, v.
  18. 2
  19. q +9l
  20. +
  21. C+2 -
  22. 3l-
  23. a
  24. 3
  25. 2. 7
  26. 2
  27. GI
  28. -et et
  29. 3
  30. g 2c et
  31. ad
  32. =f + 2cdl 1 V.
  33. eorqu
  34. 4c3f 14a
  35. e =2ec r 7
  36. + fr- 4cdf + 4C
  37. fiet:
  38. +f4cdf1 400
  39. 2e 90 +gl- d 2xe, +f 1cd5 + 4e2d
  40. 1
  41. +E
  42. 11) Ergo denique A co +CZ
  43. (12)
  44. (3)
  45. +ad.. + qu
  46. Appelleme X +d X +.
  47. Ergo ex Aeq, 2. et 3, fier:
  48. Ergo ponendo
  49. (10)
  50. s
  51. in integris
  52. + dX +C YX + e y + fy + gl p0. und fier:
  53. (2) . X +dX (+ 4 1 - y - f y -gl
  54. + cy 1 9 + 2dY
  55. ) Et tiet:
  56. 2
  57. (8) sive v
  58. XXXV, vol N 1hr.
  59. Aequatio quadratica duarum incognitarum,
  60. acds
  61. (6). Nempe t ponamus:
  62. s
  63. +=
  64. m per brachus lgiam.
  65. ml.
  66. .
  67. (1)
  68. (4
  69. Ponamus Co ri 2l., et ZH. 7 L, et En d et (15)
  70. e
  71. A
  72. P
  73. (16)
  74. 9
  75. em rt
  76. A 5
  77. Namesi Nuneri explicati, co. Z. e. c. m. sunt interri, divisores aequantur
  78. unitati, et in datis omittentur, in agnotis calculus ostendet omitti debere in fine
  79. si sunt fracti, nominatores corum atque numeratores hac ratione exprimendo,
  80. 2 1
  81. omnia ad integros reducemus, et fier ex aeg. 11. sequens
  82. pi
  83. cet a
  84. v
  85. a
  86. H ~H, sive (18) ~ 235n4 + Lh95i5 3. p 2 p
  87. + heod
  88. ut
  89. H rSenqu
  90. Hujus aequationis 18 cum ingredientes omnes sint interri, facile
  91. ptre pertes puoinua cigutita mulipes esse heant maguit
  92. 1.
  93. a
  94. u
  95. acdF + F
  96. + qu
  97. -2e +
  98. seu dexterior
  99. Ergo posterior aequationis hujus pars aequatur
  100. f
  101. (1). Eono
  102. pued
  103. 1+C
  104. idea
  105. u
  106. ELELIOLL:5. C. 1
  107. AFCLA
  108. CHANNOVRRa
  109. e
  110. B.VX

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 1r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067996:0001?run=73