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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 114v

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: 0.81.

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. 115r); this page is its left half.

The machine reads it as

  1. videamus an liceat pervenire ad
  2. 10 + + + ed 13 dld = 0 10 + 1y + 12dy + (3dy = d
  3. 26Z 20Y 2Z 20+ 2y 4+ 22 dy dissen 10 + 11y12dy + 13ddy =0 si effici possit, ut 13: 1b
  4. sit constans, solvi potust problema quia ga blud
  5. dx 10
  6. sit y = pV fiit 10 + ABV +. quia ) = b sec . 12) ax ( du 10 12
  7. pono autem du esse consrantem
  8. eo
  9. ex +(13 de lx ady
  10. 12. b 12 x +
  11. 12 sSndae
  12. (13dx ddu
  13. 126 NI: 12) c
  14. e
  15. sit y = pV fiet 6 = 10 + 1pV - 12p de + 13p ddx lia 13 pC = P. 12p + 213 dp, b sp. no p 4 9 tip L
  16. pono autem du esse constantem.
  17. dy = p dp V + pdo
  18. ddy- rip dx + v p+ pto
  19. I1p - 12d0 + B ddx sit = - (10). e
  20. erit enim eodem modo se habens (5) ad p, ut 10 ad y
  21. = 12 dp. V + 132 dp dv
  22. +, 3 ddp. V
  23. quod si p sit constam, oportet esse 12: 13 constantem =- (supdx
  24. e+ autem casu et ergo tunc et 11 assupenda constans vel posius consans drvisa
  25. er ax
  26. isfici autem to praeliminariter unt. uut 13: 1 set constars
  27. Nempeta
  28. primum assumatur B, ut fiat - 12P + 2. (3dp = BA Bb sit quod effici pb.
  29. dy = 10 + 1y fit y = Sude, _ oax voretur compludio y = c
  30. Bsudx
  31. et fit dy = de seu dy-de =0 et y -e =0 m et has multiplicando per
  32. arbilianas et addendo fit. 10 + 1y - dus
  33. 1e + Cy 45dy
  34. file
  35. dy de mult per
  36. dgiria
  37. dy:dx = xx + yy, iaa fiet ex ux + f vydy - aadu =o compondio 100 + l gy + 112dy = 0 n 100 = XX ax 12 =
  38. Assumatur 200 + 211 Y F 212 dy + 221 gy = 0, fiet C, 112. 500 + 112 XHy (4 H2. 212dy 112. 2E, yy =0
  39. 100, 212 C
  40. =112. 212 dyg 121. 2129y
  41. bial 12. 200 -103. 212 =0 fiet 112. 211I +. 112. 221 y = o seu compendio 12. 21 + 2112 G =0 undo dF12. + duMy + ur2dys -0
  42. ande sec. +12 d(12 211) F 11242127(= H2. 2IIa = 121 212Hy, quae aequatio comparetur facto ex praecedente si
  43. 400.2112
  44. =112. 211249
  45. multiplicata per 400 + 4111), fit 112. 211. 400 + 2112.400y
  46. +2112 411yy. fit A = 12) Ex yy fit 41 = - 19
  47. Ex Ex y sit _ Ex p fit 21 = 112 d (a2. 211) = 100. 2112.: 112.400, (t per i fit 214 = 112 d 2112 - 2112.900; 411
  48. . + 112. 21p. 4H
  49. E + sae auq HEd (12. 211) Sed ita revera tres literae incognilae sunt reductae ad mas nisi 400 adhibeas
  50. 112.400
  51. 110 +duy + idu + 12 dag + 13439 =0
  52. + d12 Ay xd 13 ddys
  53. F) aeque ala 10r 19413Ay + 3ldy - 0 assumatia Ex riy +Xly + 27 4y +24 dy = 0. et depesse priore fit

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 114v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0228?run=74