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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 108r

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: 0.79.

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. 109v); this page is its right half.

The machine reads it as

  1. +1IIXy
  2. () 100 dx + 110 Xdx + 101HdX + 120X dx + 102 y dx + 121 X ~dx L II2XIy A + 13OX dx +102V ay etC
  3. dy
  4. dy
  5. d’dys
  6. ydy xdys ytu Xdy Xy dus Xydy
  7. O= 400 + 210X + 21IXy +220X + 221Xy +230X +2ZLXy +231Xy + 240X etc. Et differentiando aeq2
  8. y
  9. fa
  10. ay
  11. ( ixyqXy
  12. gay xay ydy xdy qidus xydy ay
  13. Ex aequ. 1. quaerendo culiem dy. ax fiet
  14. suar
  15. dy (4) 100 + 110X + 101 1 120X YVor + 12I Xy +U12XY + 130 x + 103G. Et eunem quaerendo ex aeq. 3
  16. dx 1p0 + 110y + 101X2Oy+1O2 X HIUIXI + 112Xy + 130 y3+ 163X3
  17. liet. dy=. 210+ 2. 220XFny +3 eoKC Hmy +3 23, Xy H2 Vx 44. 240X + 231 y3. Et aequindo valores
  18. ruxus
  19. ruxx
  20. dx 20 + 2. 220y+ uX (13. 90y + rux +3. 4Xy +2 22 Xy + 4. 1407+ 251 X
  21. Et ae quando valores 4 et 5 fiet
  22. 1BD W La WXL IVI. Voy F uL. 2WXyL 1O H oy Mnoxy
  23. 100. 210+ 110. 210X + 111. 20Xy + 120. 20 X + 121. 210Xy + 130. 20X
  24. +102. 210y +112. 210X y +103 20y
  25. +101. 210y
  26. 2.400. 320 +2to 10 x12 i 2 no 1 no 1 2o
  27. et 5. fiet
  28. 2.220. 100y +2. 2010 XyF2. 2IB. 101y t2 NO IXy + 2120. 10274 2. 220. IIX y + 2.220. IXy +2. 220.1037
  29. 192 Y
  30. ti. 220. 130Xy
  31. .211. 100X + ( 2H1. Worry, L. 2HI. HIX +p. AII II Xy + X1I. 12O X + A2II. 112 X9 +2II. 121 Xy + 211. 130X3
  32. xy
  33. 2. 220. 12
  34. duris
  35. Gerurxy
  36. F2II. 103∞13
  37. der Cal calus est ghoest aust gum bogus arhasit, utione
  38. und Calculus cortinuandus in plagula in fol, in versa a
  39. collocato. prodibit aeq. (6) quae divisa per X4y dal aeq. (7.) quam, coparire
  40. oportet cum 6q. 2. exaltata e in comparatitiis. sunt sola constantes si ergo exaltetur
  41. c9. 2. per formula generalem ex X et y factam prodibitaequ (8) comparunda
  42. cum 69.7. Ubi vicend aeq. 1. finienda est, mod nunc in primo, nuncu in secundo
  43. punc in tertio gradu, dt fiet erc. Et ita cognoscemus quid sit possibile. Quodsi
  44. iis sit impossibilis, propimum erit, ut in aeg. 2. pater X et y. assumamus Z,
  45. (az:q eac vel similes
  46. ∞G
  47. formatam si placet exeodem moto se cabentibus X et y v. b.
  48. tamatas ipse Z formata eodem modo ex X et y. Quod si differentcandrores
  49. illam trauscendentem vel transcendentes, oportet duos differentiales coincidere
  50. non aequari. sed nobis sufficiat, hac n methodo investigare reductionem
  51. Utile duprimis erit pro Quadiaturis hoc atsolvi, ita enim certo scimus,
  52. ad ordinaria
  53. quousque ascendere possit aq2 debedt ag. 2.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 108r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0215?run=74