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[De la Methode de l'Universalite] De la Méthode de l'Universalité, fol. [9]v

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: 0.67.

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

The machine reads it as

  1. In Ellrali si minor In Ellipsi si a.
  2. e maji quam a, eut 2a major quam X si 2a mina quam X erit q uija quam a. Si X ni quamqu debet esto 2aX = ax + aliquid
  3. quod pr sepate
  4. dis nunc
  5. en
  6. u x. (1 + Vaq. +∞3(L)
  7. novo opus esset signoad
  8. hanc dubitatialam
  9. expiim
  10. dam.
  11. in pis alle
  12. Xt9. -0
  13. Egua= =G(1)
  14. Ergua - X
  15. X = = sa
  16. da
  17. si au pis alle
  18. a X)sa =
  19. 23
  20. a erit se
  21. 4- 4s - b. cid
  22. a- b = x f
  23. cu -
  24. 4
  25. eu q +
  26. a mi quax
  27. ed operae pretum est iem problema solvere methodo sectionibus Conicis omnibus
  28. communi. Est autem sectionibus Conicis omnibus commmnis aegratio haec:
  29. 2aX = X = y. posita 2a latere recto, 29. latere transverso.
  30. Unde fit. fal +a Xl = fy, Unde habemus l= 7. Nunc ut
  31. fiet: Sagt = + a = X Y , vel a X Na + a. sed
  32. Va
  33. rae
  34. in Parabola, et Hyperbola, at tunc nihil refert, utram religas vel significat
  35. ut in Ellipsi et tunc modo quadrantem non excedas, quod minime necesse
  36. est, fit utique A est major quam intique 2a est major quam X. et utrum Xv
  37. Sciri potest. Quare commodinis calculi ausa ponamque Xaqt =
  38. a
  39. a
  40. ra+X
  41. radicis rec esse, patet multiplicatione ejus in seipsam, ita enim fit:
  42. - 44.) aq + aX + (: a X s 4) 2aX, ut suma. = a9 + y
  43. a
  44. a
  45. Jam quoniam et dixi + X s = Saque F, ideo erit +X = faqF -
  46. sive
  47. et
  48. X = saq+Y a
  49. Bnih ergo
  50. +s4
  51. F42464
  52. ag+
  53. Aq
  54. 2
  55. , vettr aa+y4
  56. +G
  57. I 1X-
  58. F(39) 5)aiq sartra
  59. a
  60. Aa
  61. a+ 3X
  62. 49saguty4
  63. in
  64. =q
  65. t
  66. Le
  67. i m Fq A 4
  68. +4 + f
  69. yrya
  70. 2fa
  71. 9e
  72. X-f vel d - y = V
  73. a4 = 74
  74. u
  75. ita
  76. Vy
  77. Rasa
  78. +Esaae +Y
  79. n
  80. se
  81. +
  82. P
  83. 4a
  84. d
  85. B
  86. agut
  87. (-5
  88. (4) e
  89. 2y925.1
  90. uae Aequatios in ordinem digeratur, fiet:
  91. at x
  92. qloda
  93. agt F54q
  94. ta
  95. X. fer quomantts
  96. in
  97. +g- f 2a 2 Unde ofit.
  98. 43agt
  99. rugitiiqu, noquadratisque
  100. +Yq
  101. )
  102. 2
  103. C.
  104. Hida
  105. 2
  106. aurd
  107. udu ad nk= = +
  108. (B = a = =
  109. +b
  110. a + + b = a - b.
  111. t
  112. 4
  113. +- +
  114. F)
  115. habebanus:
  116. +g Aq
  117. 2n na--
  118. a
  119. (4+) ( (
  120. Atque ista nunc ad aequationem generalem applicentur: yda y = Xl- fl applicentur
  121. 1.
  122. d - y - +74 =4. - f
  123. vel died
  124. vel i duy
  125. -1dy
  126. vel -
  127. x a+ 2 apqva (x
  128. fiet: yd - y=
  129. y
  130. ugn
  131. 6- 9
  132. vel n
  133. a
  134. patetprdete expresionem Toriorem eligi debere, nam vel = significat ut
  135. qud etreerm
  136. a
  137. a
  138. uaeqaia, fudyaqu dra, dga d4, tyageya,
  139. =
  140. Gs
  141. a+GX
  142. etiam X. investigemus; ponamus 2ax + X + aq = y + aq. sive ponamus:
  143. segF ) a () X +a4 Fy = + aq + qx
  144. a
  145. X
  146. e
  147. +
  148. F7 =
  149. -+= =
  150. F7- +
  151. profa9+y a
  152. omnibu
  153. ea
  154. ra
  155. +
  156. egt
  157. 1 fac
  158. multiplicatione
  159. per
  160. daque
  161. as
  162. da
  163. n
  164. 2.
  165. --

Cite

[De la Methode de l'Universalite] De la Méthode de l'Universalité, fol. [9]v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00066634:0018?run=39