Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 519

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: 0.77.

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

The machine reads it as

  1. DCD
  2. et
  3. detu
  4. es
  5. ducu
  6. ependi
  7. iden
  8. eo cor
  9. DEi
  10. C, d1
  11. inCF
  12. _ P
  13. a, Yb.
  14. C, A,l
  15. F prallit
  16. sins
  17. 1n5d1. 1
  18. DE PR ANSMUE. CURVAR. LIH. IW RECT. 519
  19. in Beec, ed in iec d; denique ex S ducacur S L parallela linea
  20. AF, Producaturqueransens TS ulque in H.
  21. Proprer rectum angulum NC Q, erit C. M ad C Q, UEMN
  22. ad NC. AEqui M N est ad NC, UES X adST. OuareeriES Z
  23. ad S F, uE CM ad CO. EF quia C M est ad C O, uF Z ad M I,
  24. eric X SZ ad ST, uE Z ad MI, ac proinde rectanousum sub
  25. S X lire YZ d MIsire Y b aequale rectansulo (ub S I _ Z. F0-
  26. demmododemonstrabitur, rectansulum ce esse xquale ∞lo lub
  27. IV_E, _D d F ∞ D VF, 2, _ ∞ a Y ∞ ∞lo subRSC2.
  28. Ouapropter omnia haec rectansula simul Cumpra aequalia crune
  29. rectangulo (ub 2 _ alia recta aequali omnibus cansentibus Cunul
  30. Sumpris. Unde cum illud rerum sic, quorcunque rectangula at-
  31. que cansentes extirerine, ec figura ex parallelogrammis con-
  32. sans, E eorum numerus in infinitum augeaeur, delinae in super-
  33. ficiem AOHITKLF, ac cangentes similicer in lineam curram
  34. ABCDF, liguet superFicieM A G FI TRL F xqualem esse re-
  35. ctangulo sub 2 d recta aequali currae AB C D F. Ouod erat
  36. demonstrandum.
  37. Ouomodo autem hinc longicudo datxe currx linex inrellisari
  38. vortic, lequentibus exemplis patebit.
  39. Sit primo curra ABC D F. ejus naturae, ue, sumpro in linea
  40. A F prolibicu puncto M, duetaque perpendicuiari M C, Si A. NI
  41. VOCetUT N, de M C rocetury, semper yy (it ∞ =. Deinde posi-
  42. Eis A9 ∞S, CO ∞V, d MI∞Z: erit QM ∞s=X, _ ejus
  43. quadratum ∞ ss - 2 (X- F xx. Cui (i addatur quadratuI CX M C,
  44. hoc eA, y y live = invenietur (s - 2 (X F ∞ X L = ∞ VV.
  45. Propter duas aquales radices
  46. mulc. juxta meth. Fluddenii per
  47. _ InVeHiCTUT 2 (∞ F 2 N N -1
  48. Unde A O sive s∞ X F
  49. InanCBIEMO D
  50. 3XX
  51. Xe d
  52. taa
  53. X 3
  54. ∞ O.
  55. . a qua sI SuBEFAHaEUE A HI D K, FC-
  56. X 2
  57. ra cujus quadratum est.
  58. seu =, e provenietH C O∞
  59. ad CQV
  60. X
  61. 63
  62. a
  63. D X 4
  64. 44a
  65. Xe 3
  66. +aa. cui addCH C N
  67. 23
  68. . PrIEjAI UE CNV.
  69. ira cognita aliqua linea, puta ; a, (licet
  70. enim

Cite

[Ps. 1], fol. 519. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0541?run=74