Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 257

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: 0.74.

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

The machine reads it as

  1. ui
  2. M
  3. D
  4. jorit
  5. disC
  6. C3
  7. erites
  8. bec
  9. P
  10. DF,
  11. COMMENTARLE EN LIDRuNII. 257
  12. 2 0, mulciplicoy - e∞OPCF y -- e ∞0, &t Fc y y - ey. + e020.
  13. aequatio duas habensradices aequales. Ouam porro, ut ad aeque-
  14. nultas cum praecedente dimentiones alcendat ac eju ldem cum il-
  15. la SicFormae, mulciplico per ry - fy - 88, ec provenit
  16. Y+e93- f eC 9y = eef7 - e088∞ 0. Cujusitaquetermi
  17. ef 188
  18. 88
  19. nos separatim comparo cum terminis praecedentis. CIlEimuS ter-
  20. minus, qui hic eA quintus, dat 88∞
  21. ∞
  22. (SX
  23. 266c600-2becc02
  24. e3ss L c3 00 terrius dat
  25. bbcc00
  26. eess. + eev Quartus dat
  27. 3bbc000 + +bcc000 f et 00-+ accev0 - bbee00
  28. c6ec 426ee0 + ee∞0 e4
  29. dus. dat v V ∞ e3 (s V +C e3(
  30. +
  31. et + be3 = bb0C = b60C.
  32. e3V 603 e4
  33. 3d sCcuI-
  34. Ouocirca, ut obtineaturV.
  35. Siplius sralorjam inrentus mulciplicetur pex
  36. et f. b c3. + bbcc. . bc C abbreriando prius, ad Facilitatem opera-
  37. tionis, numeratorem prioris de denominatorem posterioris fra-
  38. ctionis per e. L b, ac deinde denominatorem prioris _ nuIeratO-
  39. rem polterioris Fractionis pereer. Lcee = e3, exurgete+ = be3
  40. + 66eC +3 b66C∞ et L e3 v + 6 e3 + b66 e + bccv L bc3. Fier-
  41. que, ordinata a qualitate, v ∞ = bc3 + 2b00e +ccee = b C3 = c C3
  42. 3cc = C3
  43. Seu, quiay est x e, erit v ~= 603 = 2bccy + ccyy - by3 - c13
  44. 66c e3
  45. Denique, inventa quancitater, Facile est invenire quantita-
  46. rem s. Si enim in superiori ae quatione =Sy + 50
  47. x
  48. VbbCC. + bcCy - bbYY + c0yy - 2 b93 -
  49. tur ralor ejus nunc inventus, obtinebieur
  50. D = bcc + bcg + cyy +Bg9
  51. in locum vlubroge-
  52. ga +b73.+. c73 = bogy V bbec. = bccy - bbyy + CC77 - b93- y
  53. Ouod ad constructionem hujus attinet, quoniam ipsa, quam
  54. inveni, haud inconcinna mihi est rila, placuic eam hic paucis sub-
  55. nectere.
  56. IL H

Cite

[Ps. 1], fol. 257. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0279?run=74