Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Ps. 1], fol. 43

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. cc
  2. linea,
  3. la
  4. a
  5. t
  6. cnlate
  7. diame.
  8. equacio
  9. O
  10. ay
  11. cdy +
  12. Oce
  13. oa
  14. cctd200
  15. acta H1.
  16. AC; sed
  17. Pocerie
  18. enirI.
  19. utrod
  20. recta
  21. la, ex
  22. hrabeat
  23. lincam
  24. C: ld
  25. C adH
  26. bic
  27. 2DBa dBCI a D US.
  28. biEu in CUE
  29. Va, supponO,
  30. quantitatem,
  31. qua C I supe-
  32. TAE F A, esC
  33. ad illam, qua
  34. C A (UPeFaE
  35. GC, licut d ad e: ita ut si prior illa quanticas indeter-
  36. MINaEA VOCCtUT Z, F C SE C L Z, G C vero b-
  37. Deinde ponendo MI A ∞ y, G7M eric b = y, _ FM
  38. c- Fy: _ quandoquidem criangulum C MI Crrectanou
  39. lum est, si auteram quadeacum ex C MI a guadrato ex
  40. C C, relinquetur quadracum ex C MI.
  41. ec 77
  42. a d
  43. 2be9
  44. a
  45. 2by - y7. Non secus, A a guadrato ex F C auteram
  46. quadratu ex FM, relinquetur itidem quadtatum ex
  47. CM in aliis cerminis, videlicet
  48. 6Z.Cy - 19.
  49. Vnde cum hicermini praecedentibus sint aequales, osten-
  50. dUInEy SCU MI A FOTO +d 22 + 2cdd 2 = e ez2 + 2 b d e2
  51. 2bd d F 2c d d.
  52. AC
  53. proinde, substituendo hanc summam locor in quadeato
  54. ex C M, invenietur, illud exprimendum essehilce termi-
  55. 15 bd d22 = cecze = 2 bcd d2 - 2 bcd e 2 - y Y
  56. bd d + cdd
  57. Porro suppono, lineam rectam PC OCCUEFeTC CUEVX
  58. C E ad angulos rectos in puncto C, Faciendoque P C
  59. 25, _ P A ∞ 2, ut ante, PM crit v = y; habebiturque
  60. propter triangulum rectanoulum PCM, 55- ∞V +
  61. 2V9 = y y pro quadrato ex C MI. Vbi Si rurIUS PTOy
  62. substicuamus summam ipli aqualem, exurget
  63. yy = b0d d2 - 2 bc d eZ - 2 cd d∞2 = 2 b d ev 2 - b d d55. + b d d V V
  64. bdd L cec. + eer = dd~
  65. cdass. F cdd 0~ ∞ O, proxquatione, quam quaerebaus.
  66. Postquam igitur invenimus ealem aequationem, non
  67. a ucemur ad cognolcendas Guantitates X, y, rel Z, qua
  68. Hic

Cite

[Ps. 1], fol. 43. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0065?run=74