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Leibniz-Handschriften zur Mathematik LH 35, 8, 11, fol. 3r

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: 0.77.

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

The machine reads it as

  1. Xx +yd - d
  2. u
  3. X.
  4. 2
  5. = Y, P, C dys - E v vaz- 2 dv = 22 + v co
  6. a b a b v
  7. bv
  8. qu
  9. aq ter
  10. eovdco lodo
  11. = b2 5 2+9D +hco
  12. 0
  13. cd +V
  14. vi
  15. e = ( Z2 V cocovar
  16. det extore eo, ine locova
  17. tunc posset resolvi problema
  18. nam posset srnt que formula
  19. u fazue et
  20. f5+259ZV +qVB +, bZco +coV + bevZ + CeVV Tontingus ed aequalis
  21. coco tciv+ r
  22. faciamus aa sit Xx+ yy - dy
  23. px +44 = dy
  24. aa
  25. dx
  26. aa
  27. ax
  28. c
  29. niuilo
  30. sit aa - X0 et vdco + code
  31. dus vdco -codo 2Z + co
  32. X = 2 _ = x rdzue - Zdv vn V
  33. a
  34. vdz- ZdV
  35. fiet vdvazu +vdo = Z do
  36. seu vdzue -Zdv - vdo fit ~ - n B - log. V seu Z = ~
  37. on
  38. seu deo =
  39. dy
  40. vo
  41. Z2voz- 73 du
  42. e
  43. v
  44. dv, - 72∞4 -2 d0) - - dv
  45. 2 n - logu
  46. (2In - log. v
  47. Et habetur solutio
  48. X = Z y co du adco = codo - ZZ + Coco
  49. sit XX + 7) = x a
  50. a v x vsz - Zd
  51. se. Vdeo - Wcodo = 7Z vdz - 7 + locovdz- cocozdv
  52. Ldid
  53. aa
  54. seu Coco + vodo co + vdxil
  55. seu
  56. vr vo
  57. deo
  58. = v dr + 4V vdz - +vZdvt vr-rium
  59. vaze 2d0 V4 sul Zan
  60. -472 vaque vaz F 4 7 V12 7 du
  61. 4. vdZ-
  62. du
  63. 2C Vdz- Zlo = + V v +4 dusz - a v devav + 8 Z2 xdvaz. 12 dv - a17
  64. - ndo.
  65. Sedu tunc notandum sed tunc si velimus adhibere hane Methodum et facere
  66. VdZ - Zdv =0 proditit aequatio identica
  67. Quod summe notam
  68. dum. sed quid si utamur se mi-expplicatione
  69. tfu in aeq. () faciamus
  70. V deo - vvcodo = ZZ VdZ - Z3dv f CoV
  71. et
  72. vuda + ... - vdu = 0 seu vvdo + .... = 0
  73. fiet
  74. fiet vda +931- Z201Z = sed non nanciscimur aliam in qua absitao
  75. nam ista prodit bis
  76. XX = XZ dx - atque fr. l rrvay y - x _2+g =
  77. 2 Tay
  78. +dZ
  79. seu 2tZ + y d7 = dy1 ZZ + 28y +yy, dy = 4 a q dy
  80. 2547
  81. sic si possimus deo etiom in datis jam unius formae
  82. adsit ita ut una aeq. supposita evanescat et ea aequatio
  83. sit differentialis, habetur ilidem exitus
  84. Quando alures sunt termini ipsius co, assumamus
  85. tres quatuor literas, v Z co, 2 ea praecantione ut non assurgatur
  86. altius quam nunc inde divulsio instituatur, ut duo termini, nempe co etro
  87. evanescant. hat etimus modum tollendi d litera restabunt tres literae
  88. cum siis differentiis, sed in hic redit puor difficultas
  89. da
  90. Z
  91. la evanesceret
  92. ci, et haber
  93. dua aequatione
  94. varum ope
  95. ausicendo aco
  96. habere tur og n. ter
  97. v, du
  98. =, bdz - Zav)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 8, 11, fol. 3r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068106:0005?run=73