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Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 9v

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: 0.69.

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. 10r); this page is its left half.

The machine reads it as

  1. quam a
  2. e maji quam a, eut 2a major quam X si 2a mina quam X eut qmajia quam a. si X nesjos quamq debet este 2aX = ax + aliqu id
  3. quod ur sepatet
  4. In Ellipsi si q aX e
  5. miner qaux
  6. cooperae pretum est iem problema solvere methodo sectionibus Conicis omnibus
  7. dis nunc
  8. communi. Est autem sectionibus Conicis omnibus compnnis aequatio haec:
  9. 2aX + a X = y. posita 2a. latere recto, 24. Iatere transverso.
  10. Unde fit. fal + a Xl = Ay, Unde habenus l= Y. Nanc ut
  11. a(GX
  12. etiam X. investigemus; ponamus 2aX F X + a9 = y + aq. sive ponamus:
  13. sert3 L) () X +aq F Y = + aq + a x + 2aX. Unde radice utrobique extracta
  14. iu x- ( Nag +∞9 (+ )a
  15. novo opus esset signoa
  16. fiet: Sag+s = +A + X s , vel Xya + a. sed
  17. patet pdentem expressionem Joriorem religi debere, ciam vel = significat ut
  18. in parabolat et Hypersola, af tunc nihil refert, utram eligas, vel significat
  19. ut in Ellipsi, oc et tunc modo quadrantem non excedas, quod minime necesse
  20. est, fit ultique est major quam uutique 2a est major quam X. et utrum XV
  21. an a major fit en quaq la
  22. Sciri potest. Quare commotiaris calculi causa poranus _ aqty = a +X q
  23. 1q
  24. secto Conica data sit criculiet. Hunc autem extractionem
  25. radicis rectan esse, patet multiplicatione ejus in seipsam, ita enim fit:
  26. quod etioverum
  27. 7
  28. a4) aq + X f (: ax s 9) - 2aX, ut supia. = aq + y
  29. Yq a
  30. +3
  31. dam quoniam et dixi X s = Vaq +, ideo erit X s= = aqF -
  32. sine X = sa4 +7
  33. erit ergo
  34. pin et e
  35. 414
  36. +142 164
  37. vel = +
  38. ag+on
  39. A4
  40. agx at q sag gra ( + (44) a) - a
  41. q
  42. L, veltr aqtra + a
  43. V.d
  44. 21
  45. na
  46. 4spguYa
  47. e n lni
  48. vel d ed y+ra =-14 q2
  49. Aet - + qu
  50. X- f vel d - y = V, X. f et quoniam + at Yq
  51. saa t r4
  52. d- y - +74 = 4. - )
  53. et
  54. A
  55. vel a duy = Y
  56. ita
  57. a+ Lx
  58. a1
  59. +9= f2a 2 Unde fit.
  60. 3Aec
  61. uere
  62. odingmar moduad nu
  63. a
  64. (B - a =
  65. +b
  66. a + = b = a - b.
  67. vit.
  68. =+
  69. F+ =
  70. H + - + = =
  71. i ∞ +q f q sapt pq, nequadnatisque xmuibus, habetaa: +.
  72. 25
  73. +q.
  74. vel i
  75. d-2dy f.dya, +y iy
  76. ta1 ta
  77. tag +v
  78. H
  79. a
  80. Eq
  81. ra
  82. +49490
  83. (+
  84. D ex PC
  85. +9 + fe L 2f4.- v
  86. qdua, fidyaeq idya, fedyga 2d74, txagera, 174a F W A
  87. Fida
  88. = q + y45 2y 925.
  89. Quae Aequatios in ordinem digeratu fieb: +. H q
  90. ..
  91. protaq+ya
  92. eper crucem
  93. 12 fidaque
  94. 2
  95. Redsa
  96. tirqu
  97. +daq -0
  98. qu 1- (4+) (14
  99. satra
  100. Atqu ista num ad aequationem generatem pplicertur: yda y = Xl= fb applicentur
  101. fiet: yd - y
  102. d -y-
  103. ve
  104. a + ax
  105. hanc dubilatirtam
  106. exprimendam.
  107. a pis aller
  108. a
  109. L 420
  110. Erua=x EC
  111. Ergua - X
  112. X= = sa
  113. das
  114. 1a =
  115. pq eut pt
  116. N1q = b, eit
  117. a - b = X f
  118. e di
  119. seq
  120. n aax
  121. si aupo
  122. a = X
  123. Eux

Cite

Leibniz-Handschriften zur Philosophie LH 4, 5, 10, fol. 9v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00069349:0018?run=74