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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 89v

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. 88r); this page is its left half.

The machine reads it as

  1. dp y + plus +b dZ + quax = dodys + qudys ( bdz + ndx = 0
  2. aquationes in unum fiet a dx y tpdus taqudus + (m + n) = 0 +
  3. e
  4. ffy + rgdy + rhady L Y. R ax
  5. adquusfiet aqurh, seu Y = (a. 6) q = (a. f) dp
  6. dpis + potus L M. d,Y rde 2S dedus + qudus.
  7. ditp d sit = bh. erit do = dus Bt et dlv = aly d + lytus bV. et 2e = illus At dydus iissu abus
  8. et sddus = dy x stplys 10d0
  9. 10y+ udus Ferddus =0 sit ga be fiet 10 + i des +t dx + 1 dodo
  10. 30+311
  11. 0= 10 + 11 + 12 d + 1Z p, videndum in sctvi possit. 20 +2 + 22 dp, in 319 3 fiit
  12. fer 20. 30 + 21. 30 so Eil + 21. 3(B L72. 31 Pdius
  13. +20.30
  14. sit y = qu _ dpv + pdr
  15. a d yy aytus bdZue + max = 0
  16. dgy+ quy = bdZ + ndx = 0
  17. ptyY + usu x Zogydus + Nadys + 124 = 0 2 20lyy + 2. Fy + 22Sydys + 23 dy + 24rax
  18. Exr = 11g: 28 -71 2. 10G. 22 fiet 2, 23. 22 = 11 10. se 11 = 2. 10. (23. 21 ) et 1 - 29 10
  19. Ec 3 fiet 2. 23 (05 +29 d i 23, + 29.10 d(23) = 21. 2910. fitaF- a1o
  20. diogys + dugy
  21. rusus 10f. d0 g = 20 3 9 10 fist f.g = 2. 20 = de sed ita utrobique evanescit 10
  22. 22
  23. 10
  24. 22
  25. iosus + 10 fdy + a3 + + 12 adx (0 ~ Zory + urdy + 22r ddy + 23 H dx
  26. alogys + dugdy 11 9 ddys
  27. +2 11g: 22 = 11f + d Ig: 21 fit f.
  28. seu fiet da - di0 =
  29. 21
  30. sit ip = b erit logip = v et d lg p= de et fict dv = y
  31. E
  32. t
  33. 2
  34. d(23. 22)
  35. 22
  36. = 10f. + d10 g,: 20 fit F
  37. n 10 sit H = , firl a loge = EL - 2
  38. sit 21 = 0. e frat
  39. (dv 2
  40. u
  41. 20
  42. 12
  43. iee giu lvemus tant aequationem reg 12 423 x Est enor in calculo
  44. resumamus ut calculi securi simus
  45. quia datur sed + gdco +.. dx =0 est aequatio quae resolvi potest, ideo
  46. faciamus co = 10y + 1dy, fiet 10 fy+ 1 fan
  47. diogus + au qus t 11g daus. F2adX. = 0
  48. 1020 dv
  49. sen fiet et fiet 21 - 10t - 11 20 = dit = dio. ( sit ( 1 = 1 et fiet
  50. 11
  51. 10
  52. 10 2
  53. 2t - - 20 1 = d log 4. sit p - be et firt2 seu 2 - =-
  54. 22
  55. 4
  56. 20 1 du 10
  57. 2
  58. 4
  59. in dip = 2 1 - 1 - 20 44
  60. circa absolutum terminum nulla est difficultas. Ob daus, fiet X= 1g: 22d ot Ergo obdus fit 1. 21, = u frog +du i eula B et dej 2) 31 deo + d (2 ) 2o + 30 dir + d2o )12 7, dao + d X. 40 + 20 d41 + d (2 ) 41
  61. quae aequatio sit coincidentianda datae multiplica per Y, 20ry + 21 rdu + EErddus + 23rdx. = 0
  62. ebfiet a f = 21 - 10 - du. Tandem ob y fit 11. 20g = 1 f +yd 10 seu f = 1. 20 - lo
  63. 22
  64. qrodsi, un eset 21 -0, foret e 1 focet 20 4 = d log . se B. d
  65. 22
  66. 1
  67. Ardantur hae dut
  68. 20. 16 = 410
  69. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 89v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0176?run=74