Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 17r

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

The machine reads it as

  1. Y et progressuu circularium ergo. seu elementa descensus ECG. nantulit ddO = a daf + nt fdd +2a f
  2. Erge Ergo bis dde = a duf f 2a 5d f 42a65. sas
  3. 1.3
  4. at AH. a fras as
  5. Ex eo quod Elementum descensus est ad X radium, ex aliquo centro eductum
  6. ut Lax differentia seo differentiam ordinatae ad inatam, palet
  7. es
  8. idem prodae, quicunque assumatur
  9. componi ex sol adeoque et velocitatem componi ex solis X et constantibus
  10. quod et praevideri poterati
  11. + b: 2 = y fet r = bb + ee + XX - ee. Ergo in Elcipsi fit bC ee
  12. ergo mEllipsi r = 2 bbXX + 2 12b67cC. XX-ee.. Ergo demq sit
  13. jam differentia inter ret bb sit seu n fhb vocetur m. fiet
  14. 2
  15. et
  16. X
  17. X + X
  18. 4
  19. = bb XX. = bb ee + ACCXX - 4C
  20. 2t
  21. qua
  22. ∞
  23. Aliter Subb +eet Exr. ee = r. et + ede: te de Sax -ee + xdxaene site
  24. est aequatio Ellipss inter X et C.
  25. seu O + e0D = Y et 2D + ∞O = 0 Ergo O = r - D = - 4 D: E. seu
  26. 7Q- r2 = 27 et 0g - rG = et 2O - Y4 =80
  27. et similiter D = , r - C = = 80: 4 seu C2 - Y2 = 80
  28. e
  29. seu ede bb + ee HCR - Xdx bede 11 bb + ee = axede
  30. =Y ede
  31. Ergo in Ellipsi ubi + == destinitur ede V bb + ee et fit
  32. X dx (bfler bb - ec rede. l
  33. Aa
  34. et similiter ob DE - r 4 = 2 D. seu D9-D4 = 1
  35. IXX - ee X Ax = YXdx- rede
  36. X dx 4 bb - ee = r e de seu ee =
  37. 4
  38. 2
  39. bb X dx ,: Yde + X dx
  40. substituatur hic valor in aequade 2 = bb + px + 2Y L bb - ec. XX- eC
  41. LV
  42. et compendiose non le tollendo sed O et D. fiet r = 1 bb + XX + 2 + r C d
  43. seu r = 2 bb + xx 4 2 rede. rxax- rede
  44. Etrede. X x. rrau rete
  45. seu r = L bb +XX + 2 Fede = 2 pede. seu sit r- bb = um
  46. Xdx
  47. Xax
  48. 2
  49. Iet: mm FXX xdx = fiet m - XX X dx = 2rXedx de -Erede
  50. X de
  51. 2
  52. x
  53. Xax
  54. seu fiet XX - nm X :V + 1 pk X dx - e de
  55. jam mm + rY = = bb. ergo fiet - IXX + bb xdx: r A2 + X dx = e de
  56. et x dx uxa B. - 2 seu TXxt bb: Y
  57. seu
  58. 1- TXx + bb: YK Xdx = ede
  59. . jam e = Xdde
  60. 1 - TXX + 2bb : rS2 G2C = 1d C = X dX
  61. G2C
  62. 2722
  63. 5bb - ec
  64. Ergo
  65. 2
  66. - Xx + L bb: YJZ G = d X N +B d X a - = X dx. Xdax + dX + Xde d Xda
  67. e
  68. ergo
  69. u
  70. ee
  71. +n e
  72. ian (d. r H = - x adx + n de Lx Axade 3. e
  73. de
  74. Xax
  75. deo =0
  76. 2code
  77. d X do
  78. Xddx
  79. +d

Cite

Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 17r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068160:0033?run=74