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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 108r

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: 0.79.

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. 107v); this page is its right half.

The machine reads it as

  1. sit jam ex natura p problematis:
  2. (y (aequ. y aequ + za 2X a
  3. 65)
  4. fiet: Xaequ. 2Z +2.3 yy
  5. (20)
  6. du
  7. (17) V
  8. aequa
  9. dx
  10. 4 a
  11. 1 et fier:
  12. Ergo in aequ. 1. substituendo
  13. (19)
  14. a. et y ex aequ. 2. fer y aequ +v + 4.5 Xa
  15. (21
  16. pl 7yaequ. 4vy +4. 5x a
  17. quas duos valores equando, fiet. jam 2. 4 aequ. 3. 5. per 15. Ergo 2. 3 aeiu 4.5
  18. per equu
  19. Ergo 3 aequ. E at insig in quantitatibus signa significantibus
  20. non differunt 2. 3 a 2, nec 4.5 a E Ergo per aequ. 15. habett.
  21. 2
  22. 2. 3 aequ. 4. 5. Ergo aequando valores 28 et 2) fit: + 4vy aeu 37 a.
  23. 247
  24. seu y aequ. f3. 4. Za. Unde in aequ. 18. erit Xaequ 2Z + 2. 327a
  25. (25)
  26. 0v
  27. pro X et y
  28. fiet: ZV aequ 2 vZ 4 2. 3ZZa + 32Za Unde posito 2 aequ+
  29. aequatio est identica
  30. (26
  31. idus praevideri polerat, revera enim
  32. non nisi tres aequationes habentur 1. et 2 et 17
  33. Ex cegu 18 est dx aequ. 2 dZ + 2.3. (2) y dys aiqu 2dque f 2. 4 yd3
  34. et quia y aequ + 3. 4. Za
  35. et fiet: 2Z
  36. +
  37. laet
  38. +a
  39. aego 2dZ +2. 4. Wayd Z
  40. nfiri: 2dqe + 2. 3(3 aa Z
  41. 3( 7y
  42. AB
  43. 3. 4. dv oguaque
  44. C
  45. aequ. + (
  46. 0o
  47. vv
  48. Z
  49. dy
  50. ous
  51. AB sit B, et ATsit +. Q aequ ~ Daego y + y2. lagoX+a
  52. Dago y + 3 + a seu B aequ. 3+ seu y rego a8 a gt -a
  53. dx aeqo dt, dyrego a d . dxergo at aequ= rgo
  54. at
  55. Ergo
  56. ago tL
  57. a d
  58. e
  59. du
  60. 8 seu
  61. Nunc aliter logarichnicum considerem
  62. ad
  63. trego s. + d
  64. a
  65. y
  66. ac
  67. v
  68. noperito E tsus aplolos logiidimicue, EA aequ R F aequa BCy
  69. aequ a-y
  70. ext Anstu
  71. 22)
  72. a AP siu Zaqo (X + 3 dy cum autea essee
  73. (4), aequ. (9 + X dx aqu) y + Xa -xy
  74. du
  75. xaro Reg
  76. (5)
  77. alanay
  78. egu a -y. Ergo 7 aeqo 1- seu y a y 24 aZ - av
  79. a
  80. (0)
  81. a- y
  82. Ergo per 5 out: ab -lxZ aequaaz aav (= ax Z + axV. et fier:
  83. X aequ. A vZ+ av - aZ aequ. Z+ a - aZ i d
  84. Ergo per gerit dx aequ. dque - d d et per 5 erit du aequ. ad . Ergo pert
  85. (13
  86. Et sumando
  87. Z- a Z aequ. 8 va
  88. quae est aequatio ad prarabolam, quod et verum est cum 3p est a
  89. X= a aequ. aa - ray + y.7
  90. V et
  91. Nala
  92. paribolam esse Nam relatione inter
  93. BPaeqr. y dy s ADvrl Blaqu. y. per 3Y av aequag. + Xa -xy. y aequ. pr seu y aequ av - xa aequ. aZ- av per 5
  94. dx (12
  95. dy aequ.
  96. 2
  97. dz- a d Z
  98. A Z

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 108r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0217?run=74