Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 91

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: 0.79.

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

The machine reads it as

  1. 6
  2. dine
  3. a
  4. Acior
  5. . Reo
  6. ac
  7. rdca
  8. adeout
  9. Lr. V
  10. L, OUX NOB
  11. Ouode
  12. cs a
  13. t
  14. L F B F R Y E R X L U S.
  15. Si itaque juxca hanc reculam inter lineas a ex g duas invensio
  16. libeat medias proportionales inrenire, nemoignorat, duorum
  17. CZ c
  18. 22
  19. Donendo Z prouna, esseut a 2dZ, SC Zad =, 8
  20. ita ut habeatur sEquatio inter g e
  21. a
  22. 23 mediarum
  23. ad=; proportiona
  24. aa
  25. EUEPOTC, Z3∞ X X
  26. a a g. Deinde descripta Parabola F A CF, una cum
  27. Seomento sui axis A C, quod est =, lemissis nempela-
  28. ceris recti, erigenda est ex puncto C perpendicularis
  29. CF, aequalis = g, atque ex centro P per A describen-
  30. dus circulus AF, UE OBEINCANEUE FL _ F A, dux me-
  31. dix quae(IEX.
  32. lium.
  33. Similicer si dividere velimus angulum NO P, SvC Rario divi-
  34. aecum, portionemre circuli NOT P in eres aequales dendi ansu
  35. lum in tres
  36. parces; lisumatur NVO D E proradio circuli, _c NVP D 4 parces
  37. prosubcensa arcus dati, ac NOD Z pro subcensa trien- quales.
  38. tis hujus arcus, exsurset AE quatio Z3 ∞ X ZZ -9. Ece-
  39. nim ductis lineis N(, OO, _OT; siOS paral-
  40. lela tat ipsi TO, Pacet, quod, licutNO cAt 2dNC
  41. SICNO LEadOR, _ OR ad RS; ad eo uE, cum NO
  42. Eic 2, _ NOZ OR FuTuIrA SIE ZZ, eR5Z3. Et quia
  43. cautum RS seu Z3 impedit, quo minus linca NP, qua
  44. ettqe tripla lic linex N9, quae est Z habebitur
  45. 933Z 73, Vet
  46. ∞ = 3.
  47. 9.
  48. Deinde descripea Parabola F A G7, in qua C A sIE
  49. aequalis semissi lateris recti principalis, si sUMatUE C. D
  50. 23, e perpendicularis DF X :g: secabic circulus
  51. FAG Cy centro P per A descriptus, hanc Parabolam in
  52. tribus punetis F, 5, _ C non numerato puincto A, quod
  53. est ejusrertex. Id quod indicat in hac AEguatione ereS
  54. haberiradices, nimirum duas C, R ex gk, quae verae (UIHE,
  55. ex tertiam, nempe FL, qua est Falla; Acque ex hilce
  56. duabus veris minorem e e illam esse, quam pro quaelica
  57. linea NO sumerC OPOrteI. Alrera enim CR, aequalis
  58. A 2
  59. Cl

Cite

[Ps. 1], fol. 91. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0113?run=74