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[De la Methode de l'Universalite] De la Méthode de l'Universalité, fol. [71]r

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

The machine reads it as

  1. acubo
  2. n
  3. e
  4. rans
  5. XII
  6. em
  7. 2
  8. do t
  9. su
  10. in
  11. solisam
  12. uli
  13. vel
  14. vas
  15. c
  16. M
  17. Esto. Aequatio data Solida, quomodocunque affecta, nisi quod secundo termino
  18. oarere debet
  19. Aequatio arbitraria
  20. bmY =bn) +b p, sive
  21. V +bm
  22. =ny +bp
  23. inatur V p g + h- b bm, eoque valore in locum ejus substituto, fiet
  24. qV + h - b (bm + bm)
  25. -ny +bp
  26. e
  27. multiplicando per crurem
  28. Ebnus
  29. sive lv st(V B
  30. OV +h b -bm
  31. auferatur ab uno ae quatinis hug latere
  32. (+ 2βg.
  33. 1=nt
  34. e
  35. in
  36. bm
  37. V ab altero ejus dvalor
  38. s- 34
  39. + bmB
  40. 4 b3
  41. +
  42. =bm
  43. bso
  44. +b3
  45. sgu
  46. -nb V
  47. DH bgrd
  48. ln
  49. +bn
  50. v
  51. Guam Aequationem ad Circulum
  52. auferantur latera hujus aequationis,
  53. a lateribus respondentibus aequationis superioris multiplicatione per crucem productae
  54. op- nb V +b3p
  55. 2
  56. hiet:
  57. + V
  58. bm
  59. g
  60. quam aequationem sectionis Conica indefinitae inventam, conferamus cum
  61. aequatione sectionis lonicae datae, 2r_ == C p W et ponendo cop y+ e fiet
  62. Hhinc ( + bm +X. item B
  63. d
  64. Ergo bm + k eit
  65. Ergo Be bm., et g p F
  66. 2.
  67. + 2
  68. +2YP
  69. + H
  70. WH VFK
  71. Si posuissemus ab initio Nabm ahi
  72. b
  73. V, gu
  74. in isia aequatione Conica indefnita, v simplex
  75. st terminus erannisset, ergo K foret p 8
  76. et C + nb - 2Y
  77. sed inde sequitur
  78. contradictio, vel saltum mmmia determinatio ex porissimo valve ipsius e, qui adhuc
  79. superest.
  80. Igitur utilius videtur resumere aequationem Schea separata
  81. ubi l. et c. relicta sunt. Ponatur C 110.
  82. inventam,
  83. aequationes instituantur Ag -β3 + C item g +bml - ben - β
  84. v
  85. collatisque his duobus valoribus, fiet
  86. +bml Vn +2(at fet
  87. Fit +C + l
  88. 4
  89. 4
  90. E
  91. 4
  92. Porro K +C ebna
  93. itemque R (7 b m 4bmc) =4 βbm + 4
  94. Exe K B bm- P
  95. 49
  96. x aequatiole arbitruria siet sumtus fiet
  97. esse manifestum est.
  98. Aequationem arbitrariam assumtam multplices multiplicemus per b dabit:
  99. N
  100. +R
  101. (+C Post
  102. e
  103. n
  104. amo
  105. 2Y+

Cite

[De la Methode de l'Universalite] De la Méthode de l'Universalité, fol. [71]r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00066634:0141?run=39