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Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 12r

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: 0.80.

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. 11v); this page is its right half.

The machine reads it as

  1. (75
  2. porro ex. Porro ex aequationibus 21. 23. et 31. 33. pat et esse h aequ. 9+ 4y. et
  3. (76)
  4. Videumqus ex quaeramus
  5. Paequ s+ l - 2Y tentemus ante omnia efficere, ph sit quantitas
  6. quadrata, est autem - ph aequ. - s9 + 29y - as y + 8 1. Unde
  7. cam rad radix quadratica extrahi non possit ne quidem si pro
  8. arbitrio explicemus, ideo frustra adhibetur aequatio 72. vel 7B.
  9. et necesse est assurgi rursus ad aequ. 66. ubi pro ht. p?
  10. Ap. hp. hepr pognendi valores ex aequ 75. 76. Est autem
  11. compendio pro st scubamus W. et fiet: p aequ. WV - 2y.
  12. Porro
  13. ha aequ. 2567 + 4, 6479 + 6,1679 + 4, 4y9+ 94 seu
  14. ha (79)
  15. aequ. 256 +25674 + 96y + 16 y9+ 9t
  16. (80)
  17. pt aqu. 16 y - 48) WV +6, 4, yW - 4, 2y3 + 1 4
  18. s
  19. H Equ. 64y +31679 + 3, 4y9 + 3
  20. (82)
  21. t
  22. 48
  23. 12
  24. equ. - 8y +3, ay V - 3, 2y 2 + W3
  25. 0 ac
  26. exaequ. 66
  27. 1287
  28. (64y 44819+ 1y9 + 93 (1
  29. +641 + +BV +12ygW quu
  30. 4y9- 2y4
  31. 26y + +W p
  32. W
  33. qu
  34. IW X
  35. +H
  36. + 16y 18y4 +
  37. ayqo
  38. +
  39. 18y9u
  40. PW2
  41. Quaelineis prorsus inclusa
  42. omittuntur, velut non
  43. pars, sed tantum
  44. preparamenta hujus
  45. aequationis
  46. Jam
  47. +256γ +26y9 496y 9 + 1699+9 (R 1
  48. 161 + note X tag
  49. foye C
  50. 16Y X 32 sW 1ayh
  51. -8yW
  52. in aequatione 10 inserendo valores X aequ - p. ext aequ. 70. et X aqu exaequ. b
  53. fet
  54. (84)+)
  55. .+y p phpaste yt = Fy =m aequ 0
  56. (85)
  57. Ubi explicando n. P. habebimus aequationem in qua erit
  58. y. Sed hinc si ope aequationum 85. et 83 tollere velimus, pravider
  59. tunc M etiam asfem atsurrecturam ad quam dimensionem ideoque
  60. 9 10.
  61. literae autem quaerendae
  62. seu = rhp + 8py - 89tp + 8sti + 8t V= + 2r tv - 8MH anqu. o
  63. nihib lucratis sumo a.
  64. Aequationes Sunt tres supia, sail. 1.
  65. sunt X. y. Z. l. m. quaemitur Z. l. m.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 4, fol. 12r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068217:0023?run=74