Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Ps. 1], fol. 128

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: 0.78.

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

The machine reads it as

  1. ELOR EM ONDF DE BE AUN E
  2. Jem libuerie, eaque indefinite productâ: ducantur linea DR,
  3. LP, QT Parallelae ipsi BFI; Ita UE D R cadac intra BFL; L. P
  4. autem supra BII, inter puncta X ee Y; QT vero ultra pun-
  5. ctum Y. Fodem modo ducantur linex QD, R AF, SF, TR
  6. parallela ip(I X Y PCu Z C; ita ut linea () D eranleat per li-
  7. neam Z A, productam versis A; de S F per eandem inter pun-
  8. Eta A X X; nec non linca TI per candem A X, productam ver-
  9. sus L. Duibusita consticuris, (i per qam Propneui 2 di libri C oni-
  10. corum Apollonii de scribatur FIyperbola, guxe tran(eat per pun-
  11. Ctum Y, cujulque ACympeori line linca, quas resere quaelibet
  12. constructio; manifectum est, per r2 Propuem ciuldem libri re-
  13. etansula omnia, quae ad caldem lineas similiter sumuntur, sibi in-
  14. vicem esexqualia. Ideoque demonstrandum Colum restat, A(YIM-
  15. Protos, atque rectansulum uniuscujusque xquationis, rite elle
  16. Constructa.
  17. Fsto isicur secundum ultimam aequationem FIyperbola cor
  18. Pructa, cransiens per punctum Y, cujulque A(ymPEOtI (IMED.
  19. _ DO; de rectangulum, contentum (ub lineis DC, GY, sIE
  20. aequale rectangulo dato df- L bc. Flinc si juxta constructionem
  21. Fecerimus lineas A X ∞ ∞, X Y ∞Y, AB ∞c, BD vel XG b:
  22. manifeltum est, B X vel DC ForC X - LC; G Z autem y. L b;
  23. acque mulciplicando unam per alceram prodicurum bc- bx- F
  24. 67- F xy, prorectansulolinearum DC, CY. quod aliunde quo.
  25. QuC aequatur df- L bc. AC proinde, si utrinque commune autera-
  26. cur rectangulum bc, relinguetur x y. f. cy- + b x ∞ df. quae est
  27. aeguatio propolica. Fodem modo reliquarum omnium aeguatio-
  28. num es constructionum demonstratio oltenderur.
  29. Aqua
  30. A
  31. X) Ws
  32. Rectam
  33. AlymD
  34. Xy
  35. ABD
  36. A(y Mi
  37. Rect
  38. X) +
  39. AH DC.
  40. Alsi
  41. Rectune
  42. ASym
  43. RB
  44. H) f.1)
  45. AB
  46. Recle
  47. Aeqt
  48. 19 +. brs
  49. AP. H
  50. AlyMp. AE,
  51. Recli
  52. X) L. 17 0C
  53. AC VC
  54. Asympr. S
  55. Rectane. CH
  56. ACD
  57. Aiope

Cite

[Ps. 1], fol. 128. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0150?run=74