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Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 72r

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. 71v); this page is its right half.

The machine reads it as

  1. quia ergo ne sic quidem
  2. 2 4
  3. = s8
  4. apu
  5. thllco
  6. +pb
  7. seu
  8. 4hh = +h = th + 2h - 1
  9. X2
  10. res ere ceoit
  11. lc p + l0o = + lae
  12. suo did Ganteis
  13. ita =
  14. 3hh - 2h - 1
  15. 4p8
  16. -2hlc
  17. 8
  18. +hlco
  19. + p8
  20. + 129C
  21. +
  22. o ceo agaaque hoc modo.
  23. q
  24. 1a
  25. 12 4
  26. la= 2hl a + hCa + 4 1 p q Thipaore
  27. 4 p8
  28. et fiet n.t = co -kco p
  29. et n: l = -co + 2hC - RC - 4p q: 4hpto
  30. et fit Aco t co + ch co Hc
  31. 4hC h.1 = co - 2hco + h ct + 4 pt q
  32. Co 4h. h1 = h i = 4p et co = pqFE: ohiha rh- 1
  33. et n = 2l p 49. Y 3tih - 2h -1 p et Em-
  34. et lnco = 2Upp gq. . . p pg F2. . .. et m 2 sa: Inco - p I. . V... p. Xll4 12
  35. et PM n c p q Ha 3th - c Y3tr. et pp. 1Eg 2 alg. 5 hb- et p ppg92: S3th en P 9
  36. l’n n’p q = H a 3hh. et Y3hh- e ph: V q2 4 g: 3th. etc pl pp eq
  37. pro 9 pore 2f
  38. et ita evanescunt costantes indeterminatae peraeter E
  39. si ∞q. C fecissemus fAhl cot = 4 l p + 4hl p con
  40. fieret a LaX ob 5g. 8 1: n = ht p c0: hlo - p2 94
  41. et ex aeq. O exhorcudo sit 1c hlco
  42. n.l == 24
  43. le- hla - Hco
  44. 2p7
  45. n = lco + hlc = +Ico Lhlco et faciendo + = - fit n: 1 =. 0
  46. 262 2p4
  47. 2p4
  48. sed si +- + fitlin - P. c0
  49. seu hco = p 4 seu h = ppqu : cocd
  50. et N = Ip 9 Eppgqcoco - lp q: pqc = lcoco - lppgqu: coco
  51. et m = 2 sa: C In Co = 2 a coco. a Ico_ - Pp 4 4 = 2co ta: Meoculpiq
  52. et Imnpq = Lr2 o sa: Uoco - Upqqu Leoco - Ipppg: Coce p9
  53. sil seu n = C - b M: C+ B
  54. efficiedu ergo ut tom ee - bb
  55. sit quadratus quam ee + bb
  56. ea invenire 2 quatralos quom
  57. summa et disserentia sit
  58. Ce + bb = eet revt vV
  59. fit _ e = bb - Y p, : 2V
  60. Ce - bb = eta ee-2et+ f
  61. eu e = bb + tt : 2E
  62. et fit bb+ FF0 2V = bb- p. 2E
  63. sit seu fbbV+ IVEt = X+bb - 7FDV
  64. si diudatur haec equatio in duas nempe
  65. bbx = - + vB et vt = bb
  66. qua ab surdum
  67. 2p4
  68. et duos ipsius lin valores aequando fit (hco th co = (hC- p
  69. finc n= CEVf
  70. et a = C- b +
  71. quadratus
  72. v.g.
  73. + ttco C-2f
  74. m lorc
  75. e
  76. 2 p9 ta :c0
  77. jua demum res videtur exitum habere
  78. Methodus
  79. y. a - 25
  80. Nh + a
  81. W=
  82. y= nti - a
  83. 2a = 2 mt 1
  84. go M= n devec
  85. . Qutatratus
  86. Sit M- p = bC
  87. m+H = eC
  88. sie 2m = b etec
  89. 2h = _c - bC
  90. ee ob = et retttq
  91. fit e - b = e+ b qu et
  92. sin 2Vb94 = bb = bb9g. fiet b = 2994. 1 = qu et b = v. 49- 1: 2
  93. unde idem absundum sit 2vb - v + qq0Y sit b = 2b: 49 - 1 tursus B = b. 1- 4
  94. nusus iblurdam
  95. nam fit 4-1 =0
  96. rn 20b+ 2bbgq = b - v - b q. + 9auB ubi non procet i duas so ilerans a litera, pro s ima est depriciens 2VD = b = b qV
  97. 294 -. [20299, quod impliss
  98. seu bc Bi (t 44 = 49uB - v0,: 2044. sed 16 fr evani sat B et sit
  99. e eq4b+ e = b+bq = b v
  100. D
  101. 1.q

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 72r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0143?run=73