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Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 28r

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: 0.75.

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

The machine reads it as

  1. invenire tres nugueros, ita
  2. ut duorum quorumvis qua
  3. dratorum differentia sit quadratus. sint numeria
  4. ps
  5. XX - yy = aum
  6. yGLL= nN = a XX- ZE= pp
  7. Z+22 =nn
  8. 1y
  9. -
  10. seu 55+ 250 + 22Z = mm
  11. .
  12. fint sobit
  13. 00 - 28V, : 27 = nn = vV, : 20
  14. fiet auc Z= mm-ec
  15. =
  16. = nn: V.
  17. pecopraeera ∞_ +0o(+ZZ) + 280+28Z+20E
  18. nn
  19. (Z2= pn seu Wi ZFmm = pp
  20. seu mmi -Y =V = nn: V (V
  21. y m xt V fiet Xx Xx. sit. XC ge E+ V et y = v + Z
  22. 53 + 25yfyy- yy= nn
  23. vV +2V
  24. seu mmibu
  25. y nimdb
  26. ex XX-yy = mn et gy=) -nn fit. XX R
  27. quod fandae
  28. olvi potest, assigna
  29. assau nendo ellitu Vataem int ps sC sidi finbmmanu hat+NH
  30. seu v
  31. praeterea n su
  32. eum
  33. et rumnn = pP
  34. sit p=nser ent nin 2mn A a= (mat nn seu in= S ut- St,: 21
  35. u
  36. BL seo p= amn I
  37. superest ergo mm: E -E = nn: V 4a seu mmo-EEV = nnE + PoV
  38. aral a
  39. sit M= Ep + et AC p + V fiet Lpp + pe t ee Y qpp+ pVis
  40. sit m = nE: a fint n MMZ: da-
  41. seu
  42. ada
  43. C
  44. +vaa
  45. = nn:V + V seu nMEC- Cuna = nnaa
  46. =(n n+ v0) aa: (n- aa) V- mana: ne ande solutio generalissima
  47. q sunt integri primi inter se, sequitur se
  48. lam summas ductum quam differentias dare quadratas. Adeoque
  49. s
  50. invenire tres numeros, ia
  51. ubi quoties X,
  52. diffferentia ductum quor anivis, et quadratorum
  53. simul solvetur problema
  54. Tenerulis Methodus per utilis ut rdbremus solvamus
  55. quarlasqus simulicius, in quod caedis propositum, unde hoccas
  56. xcerpi
  57. Mnc propoe cusus casuam sevic casus praepositi problematis poterunt
  58. vorunivis sit

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 28r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0055?run=74