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Leibniz-Handschriften zur Mathematik LH 35, 4, 3, fol. 32v

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: 0.78.

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. 31r); this page is its left half.

The machine reads it as

  1. sit s = dED. H et l y - β = SsE :ll, fint ss:, V - β3 = cBB: I = 1 + β, mm + rr :
  2. Rursus s - A nV: H _ At V + B = AN n A: I et s5:, ) + β = p rV: l = 7 - β, mm + rr
  3. V = SdG + B I: I1 = 2X M = Bl. fint 2 βIl = + n - ddE H
  4. U, EBB = AN, mm LrY U1 nVr = dSE. mm+ Vr denique dEB = A p
  5. l, E0b: AM = U prr : SE fint SSEEDB = XAnurr, seu SCD = X V. ut patet
  6. r = 26dE + 2 Bll + (3, i
  7. M = AN - ddE +13,: U
  8. co, M, Y puim inter se
  9. co= fgh. l r + m = +(d, seu r = 2ffg. + mI,.
  10. V = M, retmm = glih siet 2Atg 4 EUm, rrtmm = 4ghh seu funt
  11. a et
  12. A sit
  13. 249 +. EUm, 4 ifgg L a ffgmil + um = a gha, ego gin quia
  14. m sunt poium inter se non potest m, dadi per g ergo g = l et fit (F5 + 2 m, (4 f (afsim falum
  15. fet 3 pricui inter se, et a m
  16. fiet h = BVS et B um = B(3). I fint
  17. deberet htr dividi posse per fir
  18. 2f fflm + iimm YSsl
  19. et Am = A L (3e): l fiit 2f t LIs( (+ l + + lf + + alff BBY - 813)5d
  20. In
  21. 2HF (- I13) (lH (3) (+ UF3) a) F d (5 (33) (29, 55. Eg. f posset duidi per 6)
  22. fiet B f et h sunt primi inter be Erupo et 5, Y et S,
  23. sed fer n, adioq f et Y sud prini ader s, lugo V= , et fit, 25 4 +. + 3 f ( = lldd
  24. r= 2A = H + ββ et Y = s5+ BB in = diff. inter hoc conta
  25. Et M = disterenliae quadrulor f et B
  26. - 5 + + f 1 +65 p + Eft ( + sen r m = 8f pB + gff B = loco
  27. = n = - f +4se BB - 6 fa (s + affβ
  28. itaque posito un = s
  29. iter a 2et +2p = cocd: 4f) BB
  30. Et ditur f. 5-
  31. 4
  32. 3 Eugo si 4E = quadrato
  33. necesse est ut detur f + B= dimidio quadrato, est actum har posterius minus priore
  34. cu et to qudrato
  35. si datur du duptam quadratum differentia, quad biquadculorm, datur minus liquadrate
  36. dimidum quadratur summa si datur summa quadbiquadrulo aequalis quadinto
  37. datur differentia biquadrulorm aequalis duplo quadrato, et summa biquadralorm
  38. aequalis dimndro quadrato inio et duplo
  39. X = bZ - y2 13. 1
  40. et y = qu v: c0 4: 1) L 2. 3,ta b = 13 C23 X = 13 Z -1 y = 4 v = Co -1
  41. A- 3g X = 13abilit y 16. 11.
  42. Y a un bc = 13. 3
  43. 3 = 16 - 13, = 4 + 113, 4- Y13
  44. b7 = 16 -9. = 4. +3, 4-3
  45. v6, coco C + e
  46. V p c00o Vb
  47. v - c0c 1b = B 1- 5
  48. vrp ctb v F cocol. AX
  49. coco
  50. (bc +. C) = cono Yb = d . (V0 +) c = 99 + 2gcocodb
  51. 19. 16 + 1
  52. Ex his
  53. sed in C pro Y et β ponatur valores 2) = r - 1 et 2β = m- 1 et fiet
  54. 2EDD_ = Y+ M = 2, mm+r et 2 a V Y = Y - m, mm + YY
  55. ( E EPB() = MaH, matm U, uV = SSE, mm+rY
  56. eleoco = X= v- m. = rr+mm rr mm
  57. Coco= rremme, rr- umA
  58. -3 3= bc
  59. 133
  60. B
  61. AB Cd + : Cod F C
  62. 10b
  63. 2P0c0 0
  64. P qucd + bc = on
  65. beore
  66. bcoco + E V
  67. bco +C
  68. c m. 99
  69. cidio
  70. Cdco, cou
  71. coc
  72. er
  73. alcae
  74. co
  75. edt vn
  76. aco H. v
  77. a = 600 - bbco = v rb + bac, vob- B aco
  78. V = H(bcorC) su Abbc + a) = v et sit
  79. fit a = s(b co + a) + bcon, tibl c 7 a) - b cc

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 3, fol. 32v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068000:0064?run=73