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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 286v

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.

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The machine reads it as

  1. Res redocta est ad 1oofr 1r g 1oflys + n siydus 2o sumatur XB _ 200 rndo rxdo e O - lve t gy +ry, et d0 = ypdt 1. ( p + rdy +yar,
  2. in at enpur +2. 2 tydu + 2rrdy sit dt: t = - 21. 22 = dr: Y Erpo ret t in lata ratione f = 22Y: H1 = 2. ut : 101. Ergo datur t: Y
  3. et fib 20 +21 tyy + 2Y)
  4. sed ila ratio 101 ad 11 fieret constans
  5. Immagmnthnam hman + lin- sit m = (c et n= 1 et fiet
  6. eti spage bio (t h ba dce -hb dip (hb e o) + (∞ ex seu
  7. la At Ly + Wt ydy = 100 + po des 100 + 1Oy + 120yy + 10) dy = sit y = f + g, - +h, fint 1oohh + , ootio + 100Bv
  8. sit sit 216 422 49 + 284) et 9 = mD +
  9. B+p
  10. Circaulsimum temminum nulla est dificultas
  11. n Fpdms xphiuus Amu ost ymats)6,
  12. nuu un de
  13. (nmif 20
  14. 21O +2 Irp +2InB + Um t2inds
  15. eret = n2 pm - 2EB :201 = redem Aur 120
  16. 21 mp
  17. 110 gh + 10 fliv + 110 fVV
  18. 1ogV
  19. 120g9 +2 12dfgo + no H hf dv
  20. 4lo1 sidus + 101 tas. v
  21. Si paureta y =n et conferretur aeg. 1. per r mulloplicata c2B
  22. ubi evanesut 22 Et fiit 1a H mrdutious etiam facta fia frtuhobique 101mpdm instituatur ergo multiplicatio
  23. L22. 101 dn
  24. fiat +120. 22. pm en = 190. 22n _h ~ 101. 22dm 1t n = 120. 22 pm LeL mip = 120 22 n sI = 101. 2ram nip) - 22. 10imm dp
  25. ibi si tolli posest at menbra quibus abest p fieret- 120. Hn + 10m = 101 dm = 0 et fariendo m=n, ve li n ratione constante
  26. =110. 22 pMM + HIO22mn + 121p + vtp
  27. + 22. 101 pdrim
  28. 100 +1oy + 1205y + 101 dy =0 210 +2r d0 + 20 2 0 sit 9 = my an,: ytp. fiet
  29. haberebur quaesitum. Resumamus calculum.
  30. 22 qu (p) dC = + npdn + 22 pam p
  31. 21qu (y +p) -
  32. p
  33. ve.
  34. poifrvnce
  35. -101 gah = 1019d v
  36. sit 21 = 120. 22pM = 120. hin = 101. 22dm,: ( ormi = 110. 22 pm ( 10nn - 22 pd m - 22. 101 m dp3 : (1o)n Homp,
  37. + 22. 101 dim dp
  38. Extus sit r rpp - 22, : 101 = (exgus) ram t um + 2g: no.
  39. ce
  40. +20 gusy p) =
  41. +22 adny +urdm 9y
  42. 22ndp - 22 m dp y (B
  43. +unp +2any
  44. ictor
  45. + 21 mp y = MAyi
  46. +201 +30ap y Y20aep)
  47. 100Y + HB Fy + norgus + 10Irdy uno
  48. ieplu asepto teapiulle
  49. Ex aeq. 8 sit 2t Cst 101aa (mp. - an) = p. . . . . . . - e lai ppn Fsappa m -. 10 aamp p. + 10a mp
  50. sis ternimo asclitsit a maap de epme an, = 1o tmp t 101 a At A pdas, a nep
  51. H1oMp - 1ONmPB C napp ams denane ndiep
  52. et fiet 20 =129. Hgm - 120. 22 an = 101. 22adm P FO1. 21am,: 101aa
  53. unde ex y fint +101. aa 2E plm tat a a a Pradn. - 1or uaa r m ap io ia nt o 12) )
  54. = L rap no. gimp Deapnoman (espro. natm Lelipior2iam CN - 1oaacun p. + 10a an
  55. Hanc aequationem si t divelleremus in duas, ut coanescerent 21 et 22, fieret
  56. delmenars siet 1ot + L 101 adu ( Epr 2 Mopa inapn Y + S H0 a + HOan
  57. sed hoc pon licet, quia fieret r=
  58. An ergo poteritum talem divulsionem instituere, in aequatione oriente ex absolutur
  59. termino, exeerpendo membra ubi occurrit 2 ita enim in aeliquo evanescet 22
  60. ) non licet
  61. et in data
  62. sed ita rursus fieret A= m
  63. lovas encanius
  64. et fiet Zianp, + _ + + App (- 101 2 a m) = b
  65. (22
  66. +22pM
  67. (toi fs
  68. 22M dy -
  69. (-10r fvav)

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 286v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0568?run=74