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Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 5r

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: 0.82.

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. 6v); this page is its right half.

The machine reads it as

  1. (mmmua quadratorumque aequalis numergo dato solvere problemata in integris
  2. Nomiau sanna dicit se methodum habere aequandi cna quadrator
  3. quantitatem etiam, qu in qua nulla sit quantitas quadratas
  4. vy.
  5. BX + b d. Res huc redinitur, mmmetum invenirequadiat
  6. s
  7. a
  8. qui ad eatem coditus facit quadratum vel vel a dutu ademtrs, vg. f AC e
  9. Eligend non est ut ad datum addatur seu f +C 7 e, seu f+( (D+ 2C9+90
  10. seu f - qu
  11. c
  12. 1d
  13. F
  14. c. po videndum an hoc
  15. 35 + f 1 e
  16. lifficile est eqare quad n et f ut nonnullis videtur impossibile, invenre
  17. duo quadrata, quorum summa numerus datus.
  18. it et
  19. ex ipsis quadrati,
  20. ba. seu X + X. ba. p0. Quaeramus alterius
  21. X, quia eligere licet eaticem, utique aequatio ista
  22. at habet rudicem quam ponamus: X + d0. Hanc
  23. aequationem duiamus in hanc, =X + f. fiet: ex + edX + fd ,0
  24. sive X
  25. es proplosite.
  26. + d X + fda
  27. +
  28. at.
  29. Hinc aequatro collatitia prior:
  30. d
  31. ba
  32. a
  33. + f
  34. pnmus Quae aequatio conferenda
  35. Ergo edas, vel ep af
  36. de + af (70. sive f,
  37. de.
  38. a
  39. at
  40. Aena
  41. in priore aequatione
  42. X
  43. +
  44. paaa
  45. Exy+ay
  46. ajavi
  47. +4
  48. +d +y (+ba Unic patet redire
  49. Aliter inquiramus: ponamus
  50. 4 +va
  51. cumque valorem
  52. X + y. B ba substituendo fier:
  53. 1 (~ +2XZ + Z +va meritque Xp γ - Z- va
  54. Rationem video cur simplex ae quationum collatio nihil
  55. praestiterit, quia ipsius y ad X relationem dedit gullam
  56. itaque sic faciamusq
  57. ut continent
  58. a
  59. X,
  60. e
  61. E
  62. d
  63. eoque vatore
  64. in po posterior aequatio collaritia: fda - b a +Y sive.
  65. pro f subpituendo ejus valorem expriore, fiet.
  66. eandem difficultatem
  67. ba
  68. X
  69. +
  70. a explicanda est V, itaque ita
  71. iaqu non tantum in numeratore sed et in nominatore
  72. continere potest, dqs infinilis modis, ascendendo per quodrunque gradus
  73. dummodo quantilas semper quadrata sit.
  74. tius eratain
  75. vag
  76. per exempla ergo in

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067996:0009?run=73