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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 74r

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: 0.73.

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

The machine reads it as

  1. er
  2. re adhabitissemus
  3. (-D 1da 30n = 1310=
  4. 10= 13n + Ta 2, : 1310. seu +13A1. 13 na = + 1310l 2
  5. 1o C
  6. 13Hla
  7. +aQ: 13
  8. 1320. 13n1a = 13n0la)
  9. 4t +1311. 13F0 Z +1310 a Z
  10. 1310,13H1
  11. F13NOra (
  12. 310 - 2. 1310. 13X1. 1310. 1311I = 13A8Aa 2_ -2. 1310. 1310aarq. C
  13. 13II
  14. = 51.60-50167
  15. 13 nopa
  16. in pro 13Al. 13M0 - 1310. 13MC ponamus 13ApI et fiet
  17. 1310a44 = 13A n1 = 2. 1310. 13 10 a a4C, seu
  18. 1310 AaC_
  19. 4
  20. Paa 2 2 (1) 2. 1310. 13n0 a a 40 + 13A n1fC: 13. (n. 1319 a 2t = (9. 1316. 13(
  21. aaO
  22. 2an +2 14. 1292aamm
  23. es
  24. 13am
  25. 2
  26. a
  27. 1310 a
  28. +2. 104132. 337aM 4 1a
  29. +
  30. slu
  31. q
  32. s a
  33. 3ot(
  34. = 2.1340. 1340 aa ZO . + i3 KnD - 2. BA Nr 1128 aY = 0
  35. 131OaC)
  36. nI + 2. 1320a4 +2 13 n0 ac possit aequari quadrato
  37. 40
  38. y = 13n0 aC aequ. radici hujus quadrati multiplicatae
  39. dem quod cum n, faciendum cum II, fiat ergo
  40. 4
  41. 0 a2 -2. 13 (n0 aO = (13A n 12 + 2. 131 nc. 100101 a a 1000ia
  42. 4
  43. 10at 2136 a ( = (13XAN) + 2. 13A(p, 200 201 aa + 200. 201 a
  44. a et. q,BaCMBCCN24aDCe
  45. 34044 + 2. 12 10 a C = 100. 1014
  46. et 13A(,+ 2.13A0 a Y +2 1340 a) = 20. W a
  47. =+13A (1. 100. 101 a4. Et ex 9 et 1 fiet 1310aY (+) 13ANI. 200. 201aa
  48. 2
  49. =13710 a(
  50. ad = 112 aa + aD et a2 = p2aa + atque et a 8
  51. 1aa + a∞. Haque Et quia 12
  52. Eit ex aeg. 10 et H quaeri 11Z, rmpe ex aequ. 10 fiet -13X 1 1310. 112 aa +2. 13(0 at
  53. , 100. 105 a, seu 11244 = 100. 101 a L1Lni 2. 1310ah-2. 13 10 a Diy B 2. 1240+2. B3 n0
  54. =200. 201a + 13A NI = 21346aG -2. 1340 a D, : 1318+ 21310. Et ex aequ. 12 fier
  55. C
  56. 1340 at + 13 nCaD3:, 1320= 1310. Et ex Xg. 13 fit 12ad E (4) 13 N1. 200. 201a4 - 1340aO eNOUD, :, 1310- 1310
  57. 6, 17, sublata ir2aa, finul tres novae, quae pro varia combinatione vartari possunt, sed simplicissime ulopinior
  58. 17 tulli potest 200. 201, haberi potest. ratio naliter, si 2ed roram 1gi ampndia. Ita non amplius oeus
  59. rtus substituatur in aeq. 15. Lint ag. 20. jam aequ. 16 combinetur cum agg. 14 et 20, prodibunt duae aequationes
  60. 1340, 13n0, 134O, vocentur gro f 50, 60,70; et 1351, 13(I, 13_ vocentur S1, ,61, 71, et proi
  61. et 13NNI eut = 51.70.50, 71. Et 1320= 13n0 =50-60 = 3 3o( - 1) Et 1310-131O=50-70 -30 (n- )
  62. C- 2. 1∞30 a((+ m) +30 U+ mm) et 13d0 + 13pose 50+70 = 2. 104-2. 1030 a(l+ 1) 430 (ll+mm). E.t
  63. Haa L1 10. 31 al = 30. 31lm +, D. IIaa ∞ = 10. am + 30. 31, seu 100G1 aC 10.31 - 11.30, a (- m)
  64. asit ). Im sit e lem sit f, l. nsit h, Amsit
  65. iet 112aa =4+ 10810144 e81 -Z. 509t- 2. 60233., 102- 210. 305+3091 Et 112aa = (15) Nec
  66. IIheam
  67. A11 = 10. 31 = 11.30, a (l = n). Compenlio 10. 31- 11.2
  68. ,2.10a - 2. 10. 3694 30 K et 112aa = 16) 481 = 10101. aC- 50dh+ 60a B,:, 4- 30C
  69. 0ag 4704D,: = 30h , Ex 49. 16 et 17 fal 209. 2014a= + 81. 100. 101 at eh 450a (Cg- ht,)
  70. vieb. Et
  71. E seu 200. 201 (+) 10d. 101 50(RF -18) + (50h- 70e) D,:
  72. a S0gu (eECht) = ∞. 90 eq- hF (60h.70C) Ad
  73. Ds s. SI CCha 20) = 21 an 2 tohocgr 3G ax) (+ 81. 10 10t a) C- 5 50a +6B∞ B, ∞- 302) -9, th + 240a 5+ v10a
  74. 190. 1o16CDhh) +. 9(. 1ap. 101 2((0h.7 CC) aa
  75. superest ad hnc una aequatio, quae fiet aequando 14 es 10 vabres

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 74r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0147?run=74