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Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 5r

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: 0.77.

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. 4v); this page is its right half.

The machine reads it as

  1. vens ha e= p: 4 = aY. et 27 - = s Se- p. 2
  2. 344+5 =125e. 2=6)
  3. 3+ 4 -5 = 2; : 2 = 1 (136
  4. 3-4+5= 43
  5. = 2 =
  6. 2
  7. 3+4+5= 6; : 2 = 3
  8. et FM = hSe -p: 2Y. C et sit FGseu q. Y = n. fiet: GM = Inn -F p
  9. seu = S 99 447+- h C21 kp Sarrnn- hhee +hhpp : 2Y
  10. jam GD: DL:: MG+GF. H MG et GD = ad : r. fiet DL = MG. aB: Y AnGF GF
  11. Triang.
  12. seu DL = MG. ab: Y MG+ n multiplicetur per GLe tam num erator quam
  13. nominator per MG+n. fet DL = MG. ad. Y MG ad-MG 4 n MG: r. MG = tin
  14. jam MG + nn = FM et fiet DI = 4Y aD FM= nN +n MG: hi et p
  15. jam seu D1 = ad ln ee pp erena tarrumque. rte cp vel si MG
  16. vocemus m. fiet: DL FM vocemus m, fiet et MG, g. fiet: DL = ab po-g
  17. d
  18. jam alibi invenimus esse DL = ad Seepp - ggrr: hrp ergo scribendo eepp. qur-H
  19. aao
  20. fiet DL = ab T: hrp. et duos valores aequeendo fiet ng gg: mn .: L. hp
  21. vel nghp-gyhp= umtt. debent autem aHolli ad quadratum et L
  22. ad quadrato quadratum, ut totlatur irrationalitas, et fiet:
  23. nnpp= m (E+ mmtt ggtip + g thpp. Et rursus compendii causa
  24. runsus scribatur nt compendii causa mee pp- ggrr: hp vocetur f
  25. et fiet ng-g9 = t debet ita attolli ut 4 assurgat ad quadratum, et f
  26. ad quadrato quadratum, tg fiet ng = t + gr. seu ng = V + 169+
  27. 6.
  28. 4
  29. eda
  30. est1aa
  31. c
  32. rursus nngg - - st = 2 tg. et fiet (4 g = n g - 2nnggt 2 nng+ l( 2tg14
  33. al
  34. 2V4
  35. seu 2Fg+ 2n g t +2 = ntq + ++ g
  36. C2
  37. est n seu 2 i cerp qqrr. lip. arrun-hhee +. hhpp: 167)
  38. a
  39. a
  40. r t ceti
  41. 2n. 4Yn - E C +h p: 4Y. m ep - qr. ti p
  42. n arru ee +hhpp: 167+
  43. P = r- n su N = r- p
  44. X +ist = V. X = v - Y, v+ y = 2m V- y = 2ln fiet X = dnn
  45. nam v- tm + lm,: 2 et y - lm - tm :2. sit l= 2 et m= 1
  46. fiet 2 et v = 4 et y et v = lm + In et y -lm - ln:ll
  47. sit l= 1 m = 2. n = 1 fiet v = 45 et y = 3 et X = 4
  48. sit l= 2 m = 2 n = 1 fiet : v = 10 y = 6, et x = 8. itaque si caeleris
  49. manentibus variatur l, manent triangulum rectangulum idem specie lant
  50. Ergo semper ponamus l = 1. et nunc sit m = 3 et n = 1 fiet,
  51. a V = 10 y = 8 X = 6 nam 15 +36 quod rugus simile priori
  52. sed si sit l =01 m = 3 n = 2. fiet y =5 x = 12 v = 13
  53. 23

Cite

Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068160:0009?run=74