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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 153r

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: 0.71.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. sit radius Y, targens ATsit E, arcus AC sit a, erit a = L = t +
  2. erit EY, + - F ∞, +5 Ler
  3. a = f rrs dt 3rr
  4. da = t -fF f.
  5. (a+ Et
  6. rrau
  7. rit A7 oc = r: rX +BC- e ser. Ergo fiet 1 = ata ui
  8. et fit a = Y et dt , Y (XI X ) - Y (x - 2X
  9. qu (r - X,
  10. Et habetur s, aete qurX) Y (ErX. X - udx YY) (g CerCC XX)
  11. pix
  12. Cerp ). tfit (Yd, EKX X9- rA 2rx
  13. er L Ir (IYX- XX)
  14. qurx)
  15. seu a = sdx
  16. I(ErX. XX)
  17. quod etiam sic comprobatur
  18. siu ut Y ad N(ErX- 7Y)
  19. Porro
  20. F - 21X + XX L 2YX -XK, Corx M)
  21. da x da seu GC ad G1 seu ex ut KCad BC
  22. A2Y
  23. 1. XY
  24. c nt rr- (H) rH r. tL rttL1 r- tr-1
  25. et rrdt = at Y: 2
  26. rr+u
  27. 1
  28. ri Ls -1
  29. +
  30. -
  31. 1
  32. dl. Y: 2
  33. seu et ris
  34. r-t V- 1
  35. seu a = 2, log (Y, 1 tea - X
  36. possumus pro X poner 1. 2 et seu Z = r- x, fiet a
  37. itur rhonali quadation Hsom d2. (3 2d2
  38. X
  39. atr- 2.
  40. 222 ZdZ etc quaeritur 12Z ubi
  41. Ptuc. 11) oter. 21) Ar. Xd Arr 25)
  42. Her. 24)
  43. in ipsis D, A, B,, etc. potentiae ipsius Z crescunt in progressione Geometrica ubi B, C et
  44. sequentes penent exquadratura circuli, A habetur absoluta quadratura, quaeritur qualinam
  45. 1(rr - 27)
  46. are 1d
  47. C0 escovori)
  48. ZEE IFH
  49. ferr. 2 jam seuda = ex Z dZ, t23 = 1 6Zd2 = = - r 4 (2) t dt
  50. t
  51. 2d2
  52. +(rr. 21)
  53. 27d2
  54. serr. ZZ
  55. rrtt. sem) pritt, Vorat) mitt ut
  56. deo
  57. rrr
  58. Xa0=
  59. sit t: Arr. 2) = r : Z rr. 22 = ZZCt: rr sit da - r f r dq t. Y rY aZ: t2
  60. + = frr- 23): Z fit l ZZ = rr - 22 seu
  61. a = rs 4X
  62. Hine
  63. 12
  64. dq
  65. du
  66. 0
  67. dco
  68. c(coc. 12) Eo loco ru
  69. 14
  70. 1
  71. Aler 22)
  72. deo
  73. Co (Cenr) coto
  74. 1
  75. t
  76. rrdtL
  77. IFYtHC). Nr+Ht) rrett
  78. d2
  79. 22
  80. 2Z-
  81. Wrtt
  82. Ser. 2 E F
  83. d2
  84. d
  85. = - rt at
  86. tl
  87. er 22) rrtt
  88. at = co deo
  89. ACoco 1)
  90. rr+ H =cocd
  91. +dt = eo ded (t = cocd -rr.
  92. Codeo 3
  93. A(coco X1) Colo r
  94. re = taBY HVOrr+ vI LB
  95. rrfH) = (H) + 2tV + vv
  96. + - YY - WV, : 2V
  97. rr+ r urov+v)
  98. v
  99. -2VV+V, eri messot 99xv
  100. 4 vV
  101. Yr = 1rg = vy =
  102. G9 -8
  103. NY, 1- - = - Yr
  104. 8, 8-1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 153r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0305?run=74