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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 12v

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: 0.88.

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. 13r); this page is its left half.

The machine reads it as

  1. 1: a 6(2) ((dv: Y
  2. da de Xia =X a,
  3. dy: dx ad v: Xdx. substituatur in aeq. (1) oportat diffecentiando
  4. tolli (av: x descenditur ad X, a, dv, dx, ddv, adx. descendatur
  5. dolatur x ibitur ad a, du, dx, dlv, dlx, d’v, dX
  6. y: a = dx: Y y: a = dv: dz et dy: dx desccndet ad
  7. ddv, daz su v Hos valores substituendo in aeq. data et
  8. tollendo Sdz. Z ibitur ad dv, dZ, d’v, d2Z, dv, z, 7
  9. assumatur de per du, dze, Z tollatur Tollatur de aderit
  10. eg. in qua Z, dv, dz, ddv, ddz, Tolli poterit Z ex puore
  11. sed video nos hiqus non procedere
  12. An su
  13. osi) ex y: a, et X: a et dy idx
  14. sit y: a p) sadz: dzue et X: a p( - dv: dz
  15. e dy: dx 13) dz ddz :, dZe adv-svddq, quibus valoribus stoostitnlis in
  16. 591. fiet aeq. 14) in qua 5 ddz: d3 et dv: dz, et ddv: ddz.
  17. unde
  18. sissumaitur constans de (5) ex Sddz: dZ, dv, et dz,
  19. et
  20. tollendo de per differentiationem prodibit aequ. 6) in quia erunt
  21. V.
  22. ddz. dy, dv:dz, et ddv: dez ope ae gg. 4 et 6 tollatur sildz: d
  23. habebitur aeqe B) in qua de: dz, et ddo: ddZ. Et habebitur
  24. s
  25. lage dve
  26. log du
  27. loq dz per do: d quadrando habebitur
  28. sunde
  29. per do: d7 seu y: a per X: a, ut desitera-
  30. Agime Unum tamen obstat quod ope aegg.
  31. 4 et 6 habereti potuisset etiam rolli ddo: daz, et daretur
  32. batur.
  33. ater jam tum aequ. inter fadz: dz et do:dz
  34. quod tamen sine quadratura fieri non debet. Hinc rei
  35. quatio
  36. videtur occipori posse, de exprimamus sine do
  37. aliaq
  38. dele = dzdz adz: dz seu o= 2az adZe (day: dy + dZd7 ddz: dy. sed ila fieret
  39. per solam
  40. aZ et (ddz: dZ
  41. id constant quod abturdum b. cingo nec hoc licet
  42. si esset de de Hedqu + dZdZ 5ddz. d differentiando fret
  43. deddz + 2dZ daz sddz: dz + dz daz et de de +2 dZ ddz. + dZ
  44. a
  45. StaZ: dZ
  46. et Z 2da3 Saaz. de + aaZ + adz. unte satz. dueforet
  47. gstans. Ergo hoc nonlicet

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 12v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0024?run=74