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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 156v

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 157r); this page is its left half.

The machine reads it as

  1. idit
  2. q, deber esse quarato cuidam
  3. o C aside CA - 3lC 4 4lE B quadrato, seu pro
  4. ligren. Ha
  5. Ergo resimito potius aequatione superiore, quia rec eodem redx et pro b ponendo e.
  6. de
  7. fiet: = el ele 1 +C y BC l et pro e, ponendo l +f,
  8. fet Y(1 - s +B + 2(7 4 y + afy- 8B +851
  9. sive 72 + 1f
  10. HyLY + 3y + 49y + 16 1Y +8 lg. et pudi disinttas
  11. reit ponendoque gB ~ 2Y. destructis desmiendis supest srtor fiereta
  12. 71 d6 ly 27 161 - 16 ty. fieresque 7C y vel 1x, 7Y. qud
  13. male evenit, ideoque alia ratione opus est.
  14. -2el + le rey rel
  15. e
  16. esi _rfgg et _ N + m Unde
  17. d
  18. explivetur. C pariter et Y, fiatque
  19. a
  20. 12 = 2f( -g + 1 + 2fgl + g B H af 8s + asu + 495 a sgt n gni
  21. eta
  22. ∞8fl - 8gl2
  23. excerpamus jum +g -∞. .. 8gfm + 49m, quae ut se tollant fen t sint 4) 0
  24. seu ut g i sit e 8fm + 4 m patet tantum m, sumata pro arlitua versi
  25. grata sumendam po arbituo H et tamue in locum m substituatur
  26. ejus valor, gl- 8fm Quaerenda hic et inventio, efficiendi u
  27. ita inserendi unam aequationem in alteram, uta si un satis-
  28. fiat, etiam alteri satisfiat seu ut alteri quoque
  29. Esto aequatio V erge a - X et yb + y n X + db
  30. mon sic potius 2fgl + gt. af + 8yfm +4gm + ef s
  31. hore aliud compendium, si L V rclo + le etc 4ey etc.
  32. S
  33. V
  34. Ergo +C Y 8el + 2C l - le ⊓ _,
  35. si praae substituamus e Ex his intelligitur difficultatem omnem in eo esse,
  36. Litar
  37. quando Quadrata non pura, sed radicibus in a invicem affecta sunt lateribus
  38. et tollamus pro N, punc yl ergo
  39. Nec fortasse abter isia tractari possen, quam it dicatur l2 - 2el le 4+ del esse y
  40. ergo pro e, pontetdo f, fiet ( - 2 f ( + f2 185
  41. e f - 2 52
  42. 40
  43. dd
  44. HC quadcato,
  45. sigsle gato ditr puitoque D tt t, pt iols erof tlpo
  46. t q
  47. a
  48. Mg.
  49. fa + adlf + disa
  50. Ergo 12 - 25 12
  51. Ergo
  52. 1d0q - (+
  53. jer
  54. Ergo f.dCd
  55. porendo ergo d r g erit C, + bf(2
  56. Eit porendo
  57. ex
  58. 1
  59. 81L 2d1
  60. d
  61. ju
  62. + 921
  63. F1 gra
  64. Ergo 14 165 2 ( H V mg 29 nt + no jo
  65. jamque
  66. , et ponendo n +, 39 siet ponatur n 113
  67. tunc loco 2g2n, habebimus 6g 1 on ferenda cum
  68. 6f ( 1 ponentoque Guq
  69. quS + f(G+ qu
  70. 6 f. 1252
  71. qusa tret aequatio (x Ergo (
  72. v e proinde (4 12 A P9+ qp + 3
  73. e 6st + nfi + 4el+
  74. t2
  75. P. et q. pro arbitrio determinatur A dergo et f et per p elum n., ex et pe p.g Selu 9. et hinc
  76. de
  77. e
  78. tantis ergd. . P,
  79. e per f. ex d cuum u
  80. et per potetum ert. Bavius ve Ex et a hlen f prsiio e eige b pet H. sit pero q. ct b puo ralitio tacetu X.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 156v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0314?run=74