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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 214v

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: 0.79.

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. 215r); this page is its left half.

The machine reads it as

  1. B. applicata crruli quaesit
  2. V + q. + bg 5
  3. Et quadrando atque ordinando:
  4. Et rursus quadrando utqu orduando
  5. y 103γ + 87y (11d
  6. 4 d
  7. + 469 - 849. - l g
  8. Aequatio arlitraria conferenda cum data
  9. V X ap Y3 aerV as
  10. les Z 5I ap - l q et herminum
  11. 20
  12. 27
  13. 3tium
  14. polluta aequ. 3. et 4 habebitur sesse
  15. vel ut valor dabentur ipsius l haberitur;
  16. Aeq.
  17. Jam ut aliquando etiam explicetar e, alio ivestiganda aequabo alium continer
  18. valorem ipsius l, ope termini tertii, fietque:
  19. 4.D.
  20. applicata sectionis
  21. nempe h, et b. Gungatur aequationi primae, in qua etiam eaedem
  22. duae incognitae inveniuntur, et habebitur earum determinatio. Sed malum
  23. in eo est quod quomodicunque eas formem, problema semper. fit solidum,
  24. seu Cubicum, nisi ponantur a p O - a5 O 7 0. un de vel C erit 10, quod
  25. non contingit nisi sectio Conica data sit circulus; vel erit p as. Quod efficere
  26. videamus an sit in nostra potestate, Res redacitur ad hoc probloma
  27. duac quantitates datas multiplicare ap et as multiplicare per aliam
  28. quandam Y ita ut aep O st as Z , Unde ae p O as
  29. sive herit Z as quo facto omitti potest a nobis
  30. sit
  31. at Xp arX a aequatio data, ponatur XX +Z
  32. petque y Hy at) an y Z a
  33. sed inventio gusam Z
  34. atr 2a17
  35. ullature termini 3tii et ultrm
  36. 473
  37. atze
  38. 94
  39. X oxZ asq 24
  40. XE 4XZ 6z. X2 47
  41. problema est solidum. Se ilud faite esse patet, exhis efficere est in aequatione
  42. andem habeant qua ib tene
  43. eandem habeant quant
  44. saui pt
  45. Resta In hac Aequatione manifastum est non nisi duas occurrere incognitas ett ex tommmo ultimo
  46. X
  47. X
  48. to
  49. Pray+.
  50. y
  51. datue
  52. h+ ay
  53. a V
  54. tat
  55. v
  56. 2
  57. Exhis
  58. ladc con D A p, o, rt su
  59. 2a + 2ah - 24 s obterua dim
  60. Aeq. 4. 4 Sa 5 O + 4 lg ob temium iltimiam
  61. p9 b29
  62. 8
  63. a25 = 4l9
  64. aep
  65. -
  66. A4. 2.
  67. ob terminum penul
  68. Aequatio
  69. un
  70. quae cum 5tâ conferenda est
  71. Aequatio
  72. db
  73. + 40 ah
  74. +2 20h

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 214v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0428?run=74