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Leibniz-Handschriften zur Mathematik LH 35, 5, 3, fol. 14r

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. 13v); this page is its right half.

The machine reads it as

  1. digeramque erunt situs qualuor ipsiu D, carietatem afferentes
  2. (1)D, dat: + D B = T A + AD
  3. (2). ...
  4. (3) d....
  5. (4) D
  6. FD , + Ta = Ad
  7. TdY + TA + AD
  8. TD A. + TA + AD
  9. Generaliter ergo TD ita exprimemus:
  10. (27 =2A F AB
  11. 3
  12. rrgo hoc mndo DE = ax + af. 4. xf
  13. et eE
  14. F Sratx
  15. Poneudo rum DEn y, fier: ay 4 af
  16. Unde EtL
  17. +a +f
  18. +Ne
  19. 2ay
  20. +2af
  21. +
  22. Z f
  23. Et B + EC + et
  24. (1)3, Cit 2, (7d17d.
  25. Et Y +EC + CL
  26. EL⊓ + Ec - et
  27. a Trax-X
  28. a
  29. +a +
  30. a2 =2af +f0
  31. =2af +us
  32. (a + 2af +f
  33. At
  34. Et - EC + CL
  35. H X, et X H
  36. de adeoque
  37. 2+
  38. = 2ay- y raf qui locu est
  39. fiaca circulum. et cum, f10. fune fit yv +2ay-y.
  40. intro ad ipsummet circulum datum, quae est relatio productae ad
  41. prinde sit
  42. reductam in cyctieide primaria, quod cu
  43. in peanum,etir
  44. rosum
  45. jum sumtis aliis curvis, vide parabotas Hyperbota, Ellipsi, dideamus am
  46. mantur, ut locus relat
  47. belaths
  48. cordinularum et reductarum Trochoeidis parabolicae, ’ explicetur aequade
  49. ad crculum. Ac primum in parabola inguiramus, et quo major
  50. sit calculi simplicitas casum investiremus faciliorem cum punctum D datur
  51. damet axe prarabolae, et intra T et A. erit TDp TA(BXA- AB
  52. Ego AC, fax
  53. = 1
  54. PraxnBL
  55. CAH ML,a + Eax
  56. YSarax tum DE. e, TDB X - d. Ego DE, AC Xf
  57. AC
  58. TAMX
  59. sive DE Fax - tat. porro Et est ad DB
  60. porro TL A YX + 2ax eit EL ad TL, ut DB seu f +x ad TB, 2X.
  61. la + rax
  62. Ergo ELH f+X, SLXFX jum DE sit y, erit
  63. Jn In Et 127 Ssrx 2af +∞Y, sive (4ZX) pat + 4af X + 2aX F +X Ho
  64. 2X
  65. +fa. 127.
  66. s10 unde 42 pro X uli
  67. sive X3 - 2CX +
  68. Eidem modo 3E13, a X - 2afXF a 4X)
  69. ex
  70. -2y
  71. fet: 2a 2t _7+ 4af
  72. iafu X i 1+
  73. 12
  74. 2a
  75. aequ
  76. f + a
  77. Et FEc FCL
  78. go lim 2aX-
  79. sue
  80. ejus valobeus fiet: 2ax +2 ax
  81. 14f.
  82. 2.
  83. in
  84. l
  85. 2a7
  86. L 2af)+ a
  87. a =2af + f2
  88. rasy- af
  89. (y (= rarYC a s

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 3, fol. 14r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068021:0027?run=73