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Leibniz-Handschriften zur Mathematik LH 35, 3 A 23, fol. 9r

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: 0.85.

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. 8v); this page is its right half.

The machine reads it as

  1. si jam trea coeffic sint paria coefficientiam sintres residni
  2. +) a - d b
  3. = E a + n b
  4. + B a - A b.
  5. fiet B aequ + Y + E(2(1) et
  6. et ((Y) aequ Y + ( (1)
  7. vel 1x d + Y a - d b
  8. AE
  9. In Cn DB + Epct) . - n (e(t)
  10. aequ +d + n (2(1)
  11. vel generalius (2 (1) aequ _(2. 2 (Y) + (2- 1(1)
  12. vel (2(8) aequ (Z. (B) - 8 (2. (8). (2(1)
  13. et endem indi (Z (A) aequ (Z. () - (3.t (A)
  14. Videndum nunc an apsorum l. quotientium seriem talem comminisci
  15. liceat, ut fiat habeatur ea aliqua communis relatio inter Ye()
  16. itemque ine inter- quae sit inter Y et (Y) uti est inter (Y) et ((Y)
  17. pro _ Y (1) (YD sumamus a. b . prdotar
  18. continuis quansLa propimi
  19. ut a. b. c. pro tribus quitnslibet contranis intelligantur.
  20. ad + eo - _ vab aqu. bb
  21. et debet similiter esse: bb - vb C aequi cc. substituatur
  22. sit aequalio:
  23. Ca - l b in locum C. fiet: bb - v Ha + vlb equ aa - 2d ab + Ibb
  24. et oidinando: aa + vab x i aequ +1, 7 bb
  25. l
  26. quae collata percedenti dabit l aequ. v. itaque quolientes sunt B in nifinitum. Ergo ag, v+
  27. 1
  28. 21
  29. aequationi 1.
  30. sit aa - vab aequ W bb fiatque a lb aequ scribaturque
  31. similiter bb - vbC aequ W CC, et quia C aequ. a - lb substibiendo
  32. fier: bb - vba + vt bb aequ Waa - 2 Wt ab + W Hbb. sed
  33. inde statim video debere W esse aequ. 1. (. prima aequalia fuisset:
  34. Waa = vab aequ Wbb. res succederet, sed tunc fieret laqu-
  35. tunc enim hnm siplus conmonis mlliplicator lo W
  36. quod sane succedit si est integer; sed si fractus res ita mnisio, hllipoles
  37. simpliciter non procedit.
  38. vrcic
  39. h aequ
  40. _ 1. r

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 23, fol. 9r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068236:0017?run=74