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Leibniz-Handschriften zur Mathematik LH 35, 6, 6, fol. 2r

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. 1v); this page is its right half.

The machine reads it as

  1. mo non nondum spes deserit, sufficit enim equationem ractam
  2. ex 30 + 3 8 +32 et compositam cum cam aequatione differentiali
  3. ex datis producta, fieri talem, ut dividi queat per aliam
  4. ege in qua solum extent dx du, ddx, day: quo ob tento
  5. haberetur quasitum. Et hoc tentandum est in homveontus si
  6. quia facilior longe per eam fit calculus. Ex9. dataeral aequ. a = 10Xa r uxdus
  7. p. habemus ( H10 Aeit 10 d X + 10 Xdy ddx - 182 X de ddy = 0
  8. 1
  9. idx
  10. unde tollendo ad fit
  11. +11.
  12. Assumatur 30 + 71= 0 siu 50 dco + 31 aodaEt sit Co = Xty fiet deo = x+ ay c1 co x asty tatus
  13. 2II.
  14. et alco= ddxddy Et Het 30 dx + 2. 30 dxdy + 31 Xddx + 31 Xddys =0
  15. se multiplicebur s haec 6qu per ax + dy. Pradit (8 30 dx +3, 30dX dy + 31 Xdx llx + 31 Xdx dly +. 31 Nys lx
  16. eddantur in unum aequ. 2 et 8. d fet aequ (9.) quae ut dividi possit
  17. per quo oporteret tolli posse dedu et dx; adeoque fiere non
  18. et fieret 11 =0 itqe eo caso res procedet. Sed non qu von
  19. generaliter
  20. Ergo soco aequationis 3 assumumus sic: 30 deo t + 31 coco ddeo +32cod = sit tursus
  21. Co res duo ex c do dx + 2dxdus et dlco = ddx. Ex 1x aqu 3. per 7 5. 6. 7.
  22. fiet et deo = dx 16d de dx +4 dx du +6dx du et cod et Co ddco = X dix + x ddus
  23. et
  24. et co ddco deo = x X dx ddx + x tus ddx + xax dy + Xdus ddy + 2X dx dyddx + Excily ddus
  25. et co ddco = x dx + 2X y ddx ddy + x actus _ + 2X dx ddy + 2xycax
  26. Ergo ex aeg. 3 substitu
  27. et substitulis valoribus fit
  28. 5 30 dp F + 4 x dys +bdx d) + 31 XaX asxr 3xdi alus 131 Noqu dy dix 3 ptuly l, ps i de
  29. on aeg. 2. mulliplicetur per ex +dudes et additis inter se aqu. 5 et 4, fit
  30. + 32XF 32X ,YY lX xa ddus + EX adX
  31. aq. 6. q qua reodenda est divisibilis per aeq. in qua a absit Xet y,
  32. quae erit coposila ex solis dx, q0. dx dax + 4t dx adue 41 d Xdy ddx + 42 dx ddus agtitrariurma
  33. 40dX dax + 41 dx ddus in Sed video nos sufficientem nunceum
  34. non habituros.
  35. ia tgu-
  36. pa
  37. C
  38. sit C=
  39. seu
  40. 22Fyy,
  41. 12
  42. codv- vdio
  43. resaque Zeco
  44. co = _coco, codn- vdco
  45. e
  46. et
  47. fet aq-

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 6, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068051:0003?run=73