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Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 23r

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: 0.75.

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. 24v); this page is its right half.

The machine reads it as

  1. 3608(3) u. III
  2. 19 (12) .... H
  3. Tres Numeros invenire ita ut duorum grorumlibet
  4. resu inoy (5) N calii Z
  5. , C 1) (9)
  6. e rmalldi
  7. not (11) Numerust.
  8. (6) Imicclitii
  9. a (7) Ergo Z
  10. Disferentiae summleque vint quadrati.
  11. 2al -X 7 d
  12. sive explicana, X, et Z, p R. 9.
  13. d- f v - f2+ 217014
  14. aequandus quadrato a
  15. et quia-f alus
  16. ideo ex 15, fiet.
  17. it 14
  18. Pmamus Intelligamus: 1dB stE
  19. fiet ex aeg. 16.
  20. ∞7-c (e res+s
  21. ep +5 +c
  22. d.7
  23. (4+25171 5CCC . pr122
  24. a AI
  25. Quadrato. Postulatur ergo ut
  26. duorum quatratorum differentia
  27. aequetur quadrato, quod quadratum
  28. ideo fingere peterius a differentiae
  29. per summatue
  30. vel summe laterum
  31. fier dividendo.)
  32. 1154 1
  33. 38
  34. 2IV ChH 4
  35. CM (39)
  36. S+lest 12
  37. 2I 25( L 2B
  38. Conamus veri co + 2col + V, et ex
  39. aq. 23, fier.
  40. 2+ 12 (+ C 3 rcol s
  41. C5, rrcol 1)
  42. _ sed ista nondum ad exitum perducunt)
  43. igend aeidi preo s naeratum
  44. Quadratum arbitrarium Aequationis 21,
  45. fingamus a latere. 5l25+C +
  46. f42 C= 12A, 28C, C
  47. 5412504C
  48. sits et
  49. gan S. Siet opaequa.
  50. Fr. 7 (7 Quor L. s (00)
  51. qLe
  52. s 1 f21251
  53. et divisis omnibus per fifiet
  54. eersigi
  55. 31
  56. SI fier:
  57. S Spyse +
  58. Destruendo itrobiqus
  59. inde laggudem S4
  60. laserear
  61. Possemus nunc jungere utramque aequa
  62. tionem 25 et 132. haberetur
  63. vel 29. et 32 compositam ex
  64. illis aequationem licebit exequi
  65. aequatio conferenda enim erunt
  66. duo quadrata arbitraria inter se
  67. Alis sed haec prolixiora, et
  68. aliter supponi utituus
  69. Resumta aeq. 21. ponamus:
  70. iiflita ansere os lsic
  71. H f C + 2sc
  72. B SerisB
  73. u e 4(1 e
  74. S 45 1y (2
  75. 2fe
  76. Et multiplicmodo omnia dividendo
  77. fier:
  78. (52 + hsc ret
  79. prf. CZ+ set
  80. qu, sive:
  81. Sa B 1- 1fC + C4
  82. in numeris sed nova prodibit
  83. Ergo (1) +7
  84. (70) Egpo C r 54 euit F

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 23r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0045?run=74