Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 56 · Bernoulli, Jac., fol. 19r

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: 0.76.

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. 16v); this page is its right half.

The machine reads it as

  1. sI
  2. Regula pro Constructionibus Mechanicarum per Pertificationem
  3. Linearum Ailgebraicarum.
  4. Ponat indeterminata x, et coordinatarum linea Algebraicae, una
  5. Ibxm + ExC, altera bm-Cx, existente r- m. Sequitu Analyrie Elementi
  6. curvae Algebraicae:
  7. Elem. Coordin. bm. X (m 1 + CY. XC 1, dx
  8. 2Mx(m + CxC
  9. Elem. Coordin. bb.
  10. mm. XC2m =
  11. 0b
  12. mxem - 1 -Cr. , aX
  13. 2ttbxm = Cxcr
  14. m +Y-2, CC rr. XCEr 2, dxq.
  15. 4. bxcm + 4? XCF
  16. mm. X(2m - 2 oC
  17. +4. bxm = 4. EXV
  18. +
  19. reduita ad idem
  20. nomen e aduita
  21. faciunt
  22. Y
  23. r. X(2r-2, dxg
  24. pro 1. form. + m. XC3m - 2 bcc imt2r -2 bcc
  25. 103
  26. fartaque divisione perx2m
  27. Nextracta radice, habetur
  28. elementum Curvae
  29. m. X (= im - 1, dx
  30. + rr. X
  31. +
  32. -
  33. 1+2m - 2 bbc
  34. obucem-ce
  35. er
  36. + 2XC
  37. dxVmm. Xm - 2, bcc bcc
  38. dxr F rr. X3r -Em -2 bbc
  39. +r. X (-=r-1, dxte per temib
  40. boc
  41. +mm- 2mr. xl
  42. V+ 26b 72cc er 2m
  43. +ervc erit +X (= Lr - 1
  44. V2
  45. er-m -2
  46. + rr - 2mr. X
  47. factaque divisione +X (L m -1
  48. V2V F (2m2
  49. 25
  50. V+bb =ccan
  51. er
  52. ax
  53. 2
  54. a
  55. in primo casu, una X (m2 Si + Xm, altera X( V2. Si - XC
  56. a
  57. m
  58. n
  59. in secundo casu, una X(. S2. S1 +X C, altera X(. V2. V- 1 + X (
  60. qui nominent y d. E habebit
  61. pro 1. casu yy +22= 4x (m de yy-
  62. um
  63. pro 2. cacu yy + 27 - +X Xyy -
  64. num
  65. ces
  66. m = 2Y)
  67. =2Vyy -22
  68. adeoque yy+E
  69. Lnr. X
  70. anr. X
  71. m+2r2
  72. r+2m -2
  73. ap
  74. dxq
  75. r= 2m
  76. =(poritâ
  77. ecementu curvae alicujus,
  78. cujus ordinata sunt
  79. Hinc

Cite

LBr. 56 · Bernoulli, Jac., fol. 19r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 148). https://leibnizlegible.com/page/DE-611-HS-958800:0037?run=148