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Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 3r

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: 0.83.

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. 2v); this page is its right half.

The machine reads it as

  1. progrediamur ad sedionem Conicam generalem, ubi adhibetium
  2. illipsem sub qua alligi pt mutatis signis hyperbota,
  3. Axis AXZF. curva duae VV et GG, quarum ordinatae
  4. ad axem Iq et GFqu sitque curva puor, locus unius foci
  5. et altera GG, locus alterius foci, summa foum longitudo
  6. distantia foectum VG, sit m et sili longitudo nempe
  7. VY + GY sit 2Y. seu semiaxis transvertis Y
  8. G. AX, X. AXY, y AZZ ZV, V AF, + FG, g.
  9. qu v4 F7
  10. L+rum vi Y V + GY facit ZY. et
  11. jam VY _ = 4 (9-V + Z.X) et GY = (y.9 + f. X) ergo fiet
  12. (y- v = +(Z. X) a) + + Y((y- 9) = + (f x) ) 2Y Ex his aejus prima
  13. non ingreditur calcurum. Sicunda du ilici modo differentiari p vel ut genim
  14. unicitur X, y; gneminentur caeterae Eterae, vel contra. pripre, modo est
  15. quod si r sit constans quod in pte est, facilior ert tatenlus, et fiet
  16. (y-v du + (Z. X) dZ
  17. Ny v + Z=X2
  18. (9L v) dy (Z- X) dx
  19. y-9du + f. X +5 =0
  20. Y(y=9 + f =X 2)
  21. + (y- 9) dy - (f -x) de
  22. si
  23. si r constans
  24. seu fiet
  25. N(y. + ZX
  26. (y-a + f)
  27. aequ 2. et 3 invenit (G - et + (- X) 2s - v) sg + Z. X) 1y-9) dy
  28. 161
  29. . ly -g + X) (7. x) + Vsu- p + Z-X) (f - x) (= dx: dy = t: a)
  30. posto 1. a) = (7) X. y. a dato Er ope aequ 2 et 3 inveniatur valor ipsarum y et X
  31. Z, dv, df, dg.
  32. e habebitur aequalio dans stelationem pro ipsis 2, 0 f.9
  33. ius : lx = XX +yy,: aa sit ila mstors fit seu sit lx constans fit q dilus. dx = (2X Ix + Eydy). 1X + (∞X rgy) ddx. re posito delus.
  34. cadhus Xxdax -X dxax (
  35. seudus aadyqixddx ved dx q Axardus + 2X
  36. seunadiseinus = x XXCxx ax a aadus ex +. XXdx dx Z: 2dx Vaadus xxax
  37. 2dX iiciau. Excx
  38. imo et quaevis alia
  39. priore modo
  40. posteriore nod
  41. et tollatur inventus ex aeq. 7
  42. fit =Ry = XX dix F yydux F2XdXdX,. Eydx, se
  43. Ailiter aa dus XKdx,: dx = yy. seu y = adus xXdx): dx et dy-
  44. = Haa dy - XX dxx) Acx
  45. cd

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 27, fol. 3r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068072:0005?run=73