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Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 69v

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: 0.77.

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. 68r); this page is its left half.

The machine reads it as

  1. nam est =
  2. dZ. summuri potest conice
  3. Atque adeo videndum quomodo secudata summanda secundum Z,
  4. possit reduci ad hanc forman praesertim cum etam f et g. possint
  5. esse indelinitae, seu continere Z, pro lubitu. Unde licet faciamus Z7. 221Z H2 etram extralioilem
  6. necape si sit n. 31+ 1L. 2 C et possumus quidem ipsi F et g dare tommunem vilorem
  7. divisorem qui ita ut soccedat extractio aliqua, e verb. a. si is etiam sit divisor cois ipsius 27 - 2. 21Z - 1. 31
  8. et m ductus dende in 627 - 2. 1 Z - 2. 11. 31, det a aliquid, quod se serviat vel e+ 3
  9. tollendum vel ad deprimendum nominatorem, de pripere ossumus ine hac extractione, sed sollere
  10. non nisi per lipsam. sed, 22 = 2. 21 - 1131 non este aliblis debet reddi extrahibilis, hisi velimus
  11. etam a 102 et i 16 2 aliquid disse extrahibile
  12. sed alia jam cogilatio est, ut haec methudus serviat analytice magis pro dati reolatione
  13. sit scil data s quaecunque secundum Z. continens irrationalem. YH. Z it et ut inogie seu
  14. bevins (8. fiet 5Z = 5, - 1 y per 12. seut - -
  15. +102 +
  16. 1162
  17. 505, dx: 106
  18. ex 7 fiet Z= fXX + x + si = X Z = (06 -x p 6 sam si propositasit
  19. summaada V8dZ erit sumuada i - 1Z f s02 +9184, 0+6 - s0s d,: (06
  20. quod utique per quadcaturam sanicam praestari potest. Poniam per 17 et 19 res ad extractione
  21. reducta est. Nam (8
  22. = y +x - 06 f 102 +9 162
  23. quoniam ergo de non cotinet nisi 05 irrationalem, ideo si detur summanda
  24. 8 du po 7 utcunque Yationabiter dari ex Z, dabitur itique
  25. per curvam sonicam per quadraturas sonicas seu rationales.
  26. (∞ HBB1
  27. dEtar
  28. Esantum ergo opus ope datae s Z N _Z + n Z 7 41ZZ + 43Z+ 44, invenic C, 6 et 2
  29. hau suum resolvamus in duas AX LAX 27 + 51Z + 52 et 2Z+ 61Z+62, et his unam co
  30. et 22+51Z +51 oparemu cum 55 4 99 Z. 3i f 2f9 - 74 2 11 2 - 191), et fiet
  31. fZ3 ∞ - 2f6. 11 Z + ff 11. 11
  32. -28931
  33. +2f9. 11
  34. L259.31
  35. + fglI. 31
  36. (27
  37. 27+513+52 fil f rg 1 f + g )1. et porro hinc facili habebsu, 1, et 31
  38. Nx
  39. haberumu non solumn 2t ad et ad huc alteritum extr quo supersunt foclus
  40. +)931 - 2993
  41. si + esset et (4) esset + fieret - 21 + (, 11 - 4 993) sed si esset +
  42. et fi = 931 = 152 possem tamen et novas
  43. 431 = 4 89 11
  44. habere arbitrarias pro 2 sumendo BW
  45. et (4) esset + fiere C. 31 -49931 -5
  46. quo anglius si 2sset 53+
  47. ei
  48. mul siplicam per arbitrariam 7+. et ta risus faculio eut conparatio. Itaque de successa nx vndetur pos dibitari.
  49. jam video nc nihil agi quia admscetur exhactio et vex 12 fil y = 177- 2. 0.
  50. 4 f 1O4 + gV64 = y sic H D +29
  51. fit 5102+ 9984 + 2592 106 = y
  52. sit O= roderna S ox rua 6 hox 13ca.
  53. jam 106 aequemus quadrato fiet (iocex roaX + 1. 2G aa (o 3 XB + 2. Ao. Lo XaZ + aa 23
  54. faciamus 10 et 3oesse t. et sit O = x+ a
  55. quadiglo fiet ( + 1 X +
  56. = 23-2. 11
  57. jam dx
  58. u
  59. F11.39
  60. et ( ox 2 per 8, 9, 10. fiet
  61. ff Z11
  62. 5= X + 31 et
  63. Jam C6 aequemus
  64. et similiter 6 = 22= 2. 31Z (= 11. 311, :, 11 + 31 - 22
  65. A 11. 21 3 : 31 - 22
  66. L+1. 31
  67. 2912 hn 7
  68. 1058X+ 2) hi
  69. 9093 St ff Z + gg 2 + 2f9
  70. 9E.3 + 259- 1 = 3. 2 un, 2E- 2NZ F . 2
  71. il2l17
  72. f. Z- 11 +997
  73. 2L+ 2
  74. Vs ∞D + 2x Z + 27 seu X= 22 - 1131,:, 11431 - 2Z. et ft et fiet
  75. : 11+31 - 27
  76. et fia
  77. 0
  78. 5. X I3- 2
  79. Z 13,
  80. 5i - 22
  81. )22
  82. fl. 31 2 a
  83. d106 - O A +
  84. XtZ = (Z- 1131 -272+57
  85. 1Z +;, 2Z 11. 31

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 69v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0138?run=73