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Leibniz-Handschriften zur Mathematik LH 35, 4, 3, fol. 34v

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: 0.80.

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. 33r); this page is its left half.

The machine reads it as

  1. XX: gy integer sit X = WZ: a et y = vZ: a
  2. fiet WWoZZ:aa; : vvZZ: aa = WW: VV, AF
  3. sed 20 et V sunt primi inter se, ergo necessano V = a
  4. ac proinde si sit XX: yu integer, debet etiam
  5. X: y esse integer. item est in X: g quocunque. Etsit X= Wyia + XX. yy = WW: aa
  6. X: yy. Erit Xxrgu integer integer. Ergo X.y est
  7. integer, sit X = H92Z: a et y = 1 8Z: a, et
  8. X: 9 = 8u973: a et sunt _ AetZ, H et3, 8 etZ
  9. primi inter se. jam debet 8EEZ: a, rursus dividi per y
  10. seu per 138E: a, fiet a2Z3: X38 = sunt autem
  11. polaerediptin sub finem pau. idae
  12. DAV:m tab lm =app sit N- 11. 12. B. 14. 15: +
  13. et E primi inter se, (33: H3 est integer, et quia
  14. gler Aut primi intrse, aetiam e est integer
  15. II et 13, 1 et 14, et 15, 12 et 14, 12 et 15, 13 et 15 sunt
  16. primi inter de n eset 12, 13, 14, 1, et 15-1.
  17. sed A et Z sunt primi inter se, ergo X = a et fit X. gy-
  18. esit
  19. ut sunt pimi inter se est E: integer
  20. ergo 8 = 8: a, seu 2.8 = 4: a. Ergo
  21. Et quia
  22. cum est X3: qu integer, fiet X - G5Z a =. 123. .
  23. =(aby.a e y -1 V: ab et x
  24. 2 sin x = d4dL: a
  25. XA. gy = 96ip3 23: 6 qu seu X. y9 - 1 Z: aa
  26. seu
  27. itaque si sit _ x: gy integer, Debet esse X = es 1Z a
  28. et y = 8 Yp: a, et X. gy, = 2pZ3: a, et sunt
  29. et Z primi inter se. Aliquae ex his literis assiuntis
  30. sossunt esse aequales unitati, a
  31. et 11 = 1: l et fit H = a3: A et M = CN: 1
  32. h=a, p= 2a 6 = 2a:
  33. Z= a: Il f = Cghglraa =) 2ga : 13.
  34. q= fZ = q zaagE:
  35. FL9g. a
  36. Y. 77a=) glda= adE: 1 sed hoc
  37. non prodesset, nam fieret q:r Reu y: a
  38. no n= (H GP: a=
  39. etfiet nor= 1 et clacalaetus quadem probus
  40. sed res non prodesset
  41. sivsset 1. 13.13. 14 = 14 5.g +b l t 2
  42. r_+ ab= fficZ
  43. lit - + a: tin = ataE sit - d.
  44. B s
  45. a ffZ (a +a
  46. eosset posi assasse= a +Z:
  47. et aZ = AH
  48. Aff- aa
  49. fta= bv: m
  50. H f+207
  51. ff. (1 2nt + ZX Z2
  52. itq ia-4, . 29
  53. X HH. a b
  54. 45= 2 um + abq = m Z + a
  55. fint aZum + 2 ab = 2nm Z + 2 m a 2ma
  56. seu: Z mat eele ab mim
  57. HT: a
  58. et m = 15. 12. 15. 14: a et n n- 1s. 143 a
  59. =I2. B2. 14. 15a. adeoque fit tandem:
  60. at2. 13. 1c. B.g 4 fOC H. 1. 15. 14 = a pp, ubi

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 3, fol. 34v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068000:0068?run=73