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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 58r

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: 0.76.

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. 57v); this page is its right half.

The machine reads it as

  1. it y = v + Z. Ergo ex aequ. dala ft dy: dx = yy+XX, :aa
  2. du fiet do + dZ dx, : ex = vv + 20Z +ZZ + xX,: aa
  3. seu du: dx = vv+ 20Z + ZZ + Xx - d Z aa ): aa
  4. ubi si vellemus facere, ZZ + XX = dZ aa = a dz: dx, haec
  5. aqualio non nihulo facilior est ipsa data
  6. sit jam Z=
  7. 2+31a
  8. 209+21a
  9. et X = 1041aY.
  10. 208+ 21a
  11. et dque = (209+ 21a) 3o des = (308 + 31a) 20d8 0
  12. qu (20 +21a)
  13. et du - d Zdx
  14. = 2e8. 30 l
  15. 20g+ 2a) 1odes (09 tuu rod92
  16. - vot F R oqu. (208 +21 a)
  17. Ergo Z7 + xx- dque na dabit qu 3.
  18. Labit qu (30c5 + 31a) 2 + qu (109 +ua) 2 F qu (20g + 21 a)
  19. dZ = dz-dx
  20. ita ascendetur a ad D3, et sunt quatuor termini quos puto
  21. tolli posse per 6 literas 3 10, 11, 30, 31, 20, 24.
  22. X2
  23. quid si sic y v + vy tiet Cg. 3. L L
  24. bu XL ax=
  25. + e
  26. fiereti XX =
  27. gagis
  28. et dx = Zdy+ ydz. Ergo dy: dx seu ady:, 2dy + ydz =
  29. Xx
  30. si esset
  31. e
  32. 2s
  33. s +2Zyy: a
  34. et fiet a dy = a aayyzdy + au Byydy + aa y a + 247 d2
  35. dana
  36. 0a ((aa +ZZ) y3
  37. a
  38. seu dy: d, -
  39. aZ)gy
  40. :a.
  41. 00
  42. ita obtinnimus desidenatum et fiet et poncindo -dy: dz = 1y+ ryyr 13y,:
  43. 845
  44. et 20 rey +229y, et c. et 30 + 31 y + dgy+ 33y
  45. +34 y p E = D ii ut sit
  46. AC20
  47. L.1, 31 = 20 d 31 y quia L1 = 0 Bhit 3I constans a. -
  48. stans
  49. ad, b
  50. tandem Porro 1. 13. 3117 3. 13.92 + 3. 11. 33(= 20 d, 33) ubi ad huc suspendo
  51. pdiciam. Rursus, L. 1 ∞31 + 2. 13. 32 + 3. 12. 33 + 4. 11. 3A = Eod3 A + 21d33+ cy 2t
  52. +. 82c
  53. 1 3L FZ 1X Y 3,13. 33+4. 12. 3475. 1135 =20d35 + 2d34 + ud 33. uro hibetu
  54. no ponamus 31 extare et esse constantem, quia ergo extat 13, habetur et
  55. sed aeq. g. eaanescit posito 32 esse 0, quia 1E, H, 3Z, 32, 12, 11 21
  56. sunt 0, et 34 pit esse 0. Et in q sed incaesp. _ quaerendum invenietur 35
  57. 4. 13, 34 + 5. 12. 35 +6. 11. 36 = 20 d36+ 21d35 + 22 d34, ubi omnia
  58. evanescunt. ide 12. 25 20 d27 +21 264+ 223C si velunus, posscony
  59. lora
  60. tamen conservando 36, habere 4. 1334 = 20 436 + 22d34 et mo x
  61. B. (3. 35 = 2od39C + 22d35
  62. (t 7. 13. 9 20. d39 + 22 d 3)
  63. 113. 31.
  64. 220 d 33t uly 213
  65. 2. 13. 32= 20 d34t uly
  66. 3. 13. 33=
  67. 20 d35+22d33
  68. et 6. 3. 36 = 20.39+ 22d36
  69. a
  70. a
  71. no
  72. n + ab B.
  73. habetur quaesitum per. 1B. 3 22d3) seu
  74. s
  75. 13t 131, =. H(19L. ∞) ex subi curum 20 non
  76. hit ergo aequatio- dy: dx = 139: 40 +gy t fiet si recte processinus
  77. 4. 13, 34 4 20436 +2d34
  78. al
  79. 30 +gnum. s13dx. 22 fiet
  80. cd
  81. Num _co h. et
  82. dte= h du = numco deo
  83. et fiet y13: 22) dx num s13ax. 12 + num du num 5 13dx: 22. seu y (13: 22) dx + dy
  84. seu dy : dx = y. 13: 22 = 13y., 204229y res non succedit. Ergo enor in calculo
  85. quid se jungamu aequationem 1 et 2 et per ponendo 23 = 0, 32, 34, 35, etc esse o
  86. conservemus 31, et 33, (x aequ. 3 fiet a33: 35 seu log. 33, = 3) ax. 13: 2E
  87. ergo sumitur 20 pro 0, quod est falsu
  88. equ. t seu, 33 = log X num. 3 fdx. 13: 22. Et ex aeg. 1. fiet 13. 31 = 20. 13(33. 24) + 273)
  89. et prodit quaesitum Et fiet 2b+ 31H+33y3=0 s b esset 6,
  90. hurbo in infrnitum puditisnori gensseriei infunite
  91. resmma
  92. m

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 58r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0115?run=74