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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 174r

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: 0.70.

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

The machine reads it as

  1. s
  2. equatio
  3. ut an = (3 X
  4. Ergo
  5. Rulos
  6. e
  7. +
  8. V
  9. y
  10. fie
  11. sit sata
  12. aallus
  13. x aa
  14. e
  15. AXdD yyda. X
  16. =BβXx +2 (Xy+ +VVyy oadZ = Bdx+) dis
  17. Baagyax
  18. ad a dis
  19. Jaayus dy
  20. ubi ut destruatur yudiu oportet facere Vγ+aa =0, quae quid
  21. fiet V= a1) et habebimus aequationem.
  22. Xxdx + 2aββ =1 ydx-
  23. dut
  24. v
  25. a
  26. k
  27. fay + yd++ adque
  28. +
  29. y + a9
  30. BBXXY. 1 dy X ydy =0
  31. C
  32. a
  33. cis
  34. y +RI
  35. ip
  36. o
  37. fD.X
  38. a
  39. taq
  40. V
  41. a
  42. utique
  43. at tad pxaa ladeoque explicando L
  44. ipev L.
  45. sed praestat darant pert
  46. seu f: g est data. x
  47. 1
  48. _
  49. er clac
  50. etax hac ab bFdx, =a)fd (B. 1) Fa D ct. laf
  51. use ss
  52. (C: A) dx -)
  53. de
  54. adf- fdx +afdf
  55. quam ipsa resolvenda. Itaque
  56. ubi urm asumsissevi
  57. lygamq+ aan =0
  58. nihil
  59. uesen
  60. Cnmus admunssem
  61. cetrmastpli per murtplicatam adjungissamt sua dissi
  62. m ui poem
  63. sulanam comparissemlum deti
  64. substituendo vallorem ex termino yax, qui est
  65. nun haec aequatio paule adruc diffiitior es
  66. ne atm sa
  67. ut
  68. qua
  69. afAdu +Afydy =0
  70. aga dy
  71. fiet
  72. C
  73. f(C: A) ax = adf, fiet bf ax = a A fd B: H) + abat - a Adf-L
  74. 7+
  75. C
  76. ux tadsdu +dFydu = . coincidentianda
  77. aactde
  78. Ldk + aq
  79. s
  80. FdK. sed ibi pro Atdk
  81. iodem mopo
  82. CDonamu B=a
  83. leva
  84. fydK Tagdk
  85. ad has sd ubi prius data fuerit multiplicata
  86. l
  87. si placet,
  88. = 6 et ficta5+ adg +f dy + fydus = 0
  89. ota coincident quar.
  90. efyq tabfdx
  91. leus
  92. cum producta per At maltiplicata a Ny d+ + 3
  93. ad 38+g Ex dus est
  94. fDdk
  95. ut
  96. si colincidentianda qua ex data est formata f
  97. e
  98. valorem autem ipsius 9 substituendoa in Terminoly dx
  99. antu
  100. d
  101. c
  102. quidem aequatio est imaginaria. et praeterea simul evanescet ax.
  103. multiplicatam et quae producta per - 2X.
  104. 1
  105. C
  106. XXdx + 2ββ)) Xydx + BVByyax + BB) XXdy +2β)) xydy + Vhyydy
  107. ade
  108. 2
  109. 3
  110. ex primi generaliter hoc modo ux
  111. irgo a
  112. a
  113. 1
  114. extrationi
  115. per Rmulh alico
  116. gale+ CAy+ f qydx + oy ax+ hde L0 adqua ec
  117. neralem ad quam modo hic Aro posito redalitur ipsa des +dx = pX Fyg): aa ex ciendi= BX +), y
  118. ue
  119. deprehendi quaerendo ad
  120. 1+
  121. x in, plped
  122. du dyde, rdu eoanesit
  123. quae sibas

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 174r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0347?run=74