Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 243

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: 0.82.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. 1aeil
  2. 2
  3. eli
  4. 19
  5. COMMLE AEARTE EN LTDEaNIL. 243
  6. rum OMC, CBL, C:M SE ad MI C, hoc cMt, b - y ad X, uE
  7. C B, hoc cA, Y, ad BL; erit BL, . Cui sIaddatuEK L DC,
  8. Het R B ∞
  9. bcy X p
  10. Jam reco, quia, per TF Propnem libri mi
  11. Conicorum Apollonii, in Parabola C R rectangulum sub dia-
  12. metri legmento R B e
  13. latere ejus recto d aqua-
  14. tur quadrato iplius CB,
  15. gua ad eandem dinme-
  16. erum ordinatim est ap-
  17. plicaca: hinc simulcipli-
  18. CeTUF CB = Cy + X y
  19. Per d,
  20. erit aequatiotalis:
  21. ∞ dcb - d cy = a X 3
  22. Unde nulciplicando n-
  23. erinque per b - y, Aet
  24. d0b = dcy. + dx y ∞ byy
  25. -y3. Pactaque cranspo-
  26. Ciione, uE d X y unam EeneaL XquationIS PAKtCM, exit
  27. dxy ∞dcy = dcb F byy - y3. In qua si prOx Ponatur lumma
  28. ipsi aequalis, habebitur d y V 5s - vv L v y - y y, Ceu
  29. Y d d55yy -- d d vv y y. L 2 d d v y3 = d d7y + ∞ dc y - d c b
  30. Lbpy -y 3. UEautem aequatio ab alrmmetria liberetur, qua-
  31. dretur veraque pars, tiat que tran spolitio ur quantitates omnes ab
  32. una parte habeantur, inrenieturque.
  33. L bb
  34. 76 - 2 b95 = d d y + = + bcd
  35. dacc
  36. + dd v0C
  37. 2dcd 2ddvC33 = dcbbC
  38. d455d
  39. y - dd c5by + d dc cbb ∞0.
  40. Reliqua huc spectantia invenieneur à lin. 9. P28. 46. ulque
  41. ad lineam ulrimam passinx sequentis, quae explicatione non in-
  42. disent.
  43. Duoniam aurem inventio harum linearum non Polum elesans
  44. ac subrilis, verum eriam per se jucunda arque urilis existit: non
  45. ingratum tuturum contido, quibus haec exercere rolupe est; (t
  46. oltendero quo pacto in IIyperbola _ Parabola nec non in COon-
  47. choide limcinrenienda.
  48. TIh 2
  49. Sie

Cite

[Ps. 1], fol. 243. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0265?run=74