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Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 24v

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: 0.84.

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. 25r); this page is its left half.

The machine reads it as

  1. porro ut RG 2X ad teax 1, ZF RF ad QF idesst sutar rax
  2. ad 2X. ita RF
  3. DV, ad BFpBR+ BN, BG)
  4. N
  5. s ad RF H TF ⊓ DV seu le a +x ad quartam
  6. ERgo _ DH xra
  7. et DV, ax + 2X
  8. SAX +2aX
  9. EX
  10. 2 +X et
  11. DV
  12. Quae Unde ax 1 xt
  13. Ixtecax
  14. a ex , 4Xy + 2aY, et X ray
  15. Unde a xt + 4 a X + 4X Y
  16. 4XY + 2aY
  17. .. Unde
  18. DV.
  19. et quia dividi potest, fiet per 2X + a, fiet: X
  20. DDZ9V7
  21. quae est aequatio ad Hyperbolam Unde palei quadratum ipsius RF
  22. esse velut diagonalem, et B quadrasi semiquadrati, RBF)
  23. jam si a + ax + X, anferatur: Xa + X restabit:
  24. a + ax, sive a + 2aX, et Sa t raX L. LV, BT
  25. 4
  26. Jam LV, vocundo y. fiet 4y a + 2aX, et eric
  27. 4 Y - a
  28. 2a
  29. X. Quem valorem ipsius X inserendo in DV
  30. Xa + 2X fiet
  31. 47 - a, c 4 + 16y - 84y + a
  32. 29
  33. Aar
  34. 1
  35. 24
  36. sive V, DV i +y a ( a) + 15y - 3 a y (F a)
  37. ny Ro a quae facile
  38. es Au
  39. mal tro transmatum sivet DV p it a7.-a
  40. et y t -a vocundo
  41. Habem, ergo Naturam
  42. aq curvae nostrae, quantum licet aequatione expressam
  43. nam abscissa LV, posita y, erit ordinata DC
  44. Y Piy -a
  45. Ceuto +, sed examinandum in verositu) DB
  46. s
  47. IB autem scum aequetur curvae H parabolicae DF explicari
  48. a
  49. analytice non potest nisi per seriem, numerorum.
  50. Tantum addam AL aequari 1Bd ( a) d Ergo circulum
  51. per centro Li radio Ld descriptu transire pe (A) locum. pesius A
  52. verum ergo zari venio.
  53. Ulnum jam superest niomendum nempe BT aequari sive
  54. LV, aequari BG. et ptroinde quod optabam D9
  55. absussam parabolae, aequari AH, abscissae Trochocidis respident,
  56. ac proinde, descripta teriparabola DFH, transtata in
  57. AH
  58. merpe D in A, et H F in W vuctaque WVDB
  59. cuvam rectari DB fore curvae A.N aequalem Rect
  60. Utibus ergo pro I. incognitam junemus abscistam sumemus
  61. aequaler abscissae parabolica
  62. AV

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 24v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0048?run=73