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Leibniz-Handschriften zur Mathematik LH 35, 3 A 23, fol. 16r

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: 0.83.

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

The machine reads it as

  1. elementis
  2. Aequalio expriene ad curvam currae conicae proportionales
  3. ordinatas habentem est: d +1 +a aequ. Z
  4. 2aX + a XX
  5. quod si jam major quam =. seu 9 major quam a, procedit reductio
  6. ad curvam rationolem
  7. seriei infinitae modus nevus item conne
  8. cum investrgatione Mensura seu divis
  9. sit X. X+b aequ ase quae ritur X. fiet Xaequ a reptat
  10. loco
  11. s
  12. seu X X aequ. ax + ab
  13. a + xb+bb
  14. X+b
  15. a + xb +bb
  16. nil fingend Xaequ a omisso secundo X. habebimus Xaqu, a +bb
  17. b
  18. X + b
  19. v
  20. Xt6
  21. X4b
  22. eu
  23. omisso teitro x fiet. X aequ a + b adeoque: X aqu. a aequ a. a +bb
  24. a + b
  25. omisso quarto X fiet: X aequ q. arbb
  26. Generaliter: X aequ
  27. seu xaequ si a est integer
  28. a
  29. + a
  30. a
  31. . Ergo X aequ
  32. XX + 4
  33. Ergo X aequ.
  34. ab + b. a +bb
  35. a. b + b ab + b. a+bb
  36. a + bb
  37. a. ab + b. atbb
  38. sou xequ
  39. ad. a+ bb + Bab. b. )
  40. erit investigatio maximae
  41. communis mensurae.
  42. aa
  43. X +2bXY + bb
  44. + Xa
  45. + b
  46. si jam a aequ. 1. et b quantitas affirmativa
  47. b+ erit invefigatio conuns B tere
  49. xaequ
  50. Cs vel Xaequ-
  51. posit0=
  52. 1xa- + b
  53. XX + b
  54. XX + b.
  55. ubi Xa esse aequ. 1. prit aequatio X, X ada
  56. jyterc
  57. ratio extremoe et mediae ratione factoru
  58. seto secsuentorum
  59. rursus Xaego . Ergo XXaqu
  60. XX + 6
  61. Ergo X aequ.
  62. a
  63. +bXRequ a.
  64. et XX gg a = b x
  65. sed haec est identica
  66. a- bx + b b
  67. X aequ
  68. l a
  69. Xex+bb
  70. et
  71. 1
  72. X aequ
  73. xa
  74. seu
  75. xa v
  76. X
  77. X= + 2b xx + bb
  78. b
  79. bb +2ona
  80. M
  81. b+ p
  82. 2b34 abb xx + 2bx+ + aa
  83. continuetur semper divisio, ita ut fiat:
  84. sit aequ X + a fiet a aequ
  85. + X
  86. Aebare botrbuta
  87. b +4bX +600X + 1b X + X
  88. aa aa
  89. IM seu X aqu
  90. seu
  91. boeb
  92. aa b2+ 4b X +6bb X +4b X +. X
  93. aa na aa
  94. 4b +6l Xtab EX
  95. + 2b 3 bb Xx + 2bX +
  96. +a
  97. quod si talis fingi potest
  98. relatio datarum, ut termni
  99. quotients b. Vb. c. d. C
  100. +
  101. semperfiant integri
  102. t
  103. una com
  104. intumensura

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 23, fol. 16r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068236:0031?run=74