Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 327

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: 0.85.

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

The machine reads it as

  1. seribete.t
  2. quoniam
  3. ta ex Ccdu
  4. C deseste
  5. deserip
  6. equicu.
  7. alus NO
  8. ea secali
  9. uS pun
  10. Ihc18
  11. dsclut
  12. C ex C0
  13. oPON
  14. 1C
  15. et.
  16. 1I.
  17. ircu
  18. linet
  19. b
  20. octetpet
  21. cC, 4
  22. ancus i
  23. aralletan
  24. rectosa
  25. AC1
  26. escrib
  27. ph AD
  28. ecat
  29. caGu
  30. Ouod E non Fucric AB ipsi C Z.
  31. Parallela, conreniant ambae in F, (c-
  32. CeTUF aurem EZ in C, ica ut quod AC
  33. sub EB, E A aquale (C quadraro
  34. ipLuS F C, _ per puncta A; B, C de.
  35. scribacur circulus. Lgieur FaNGCTUE
  36. 2 recta E CZ. per expolirum Lem-
  37. ma. Ergo quocunque casu delcribi-
  38. tur per puncta A, B circuluS ABC
  39. quem recta CZ in ipso C pun-
  40. cto conringit. Quod etac FasIen.
  41. dum.
  42. PROB LEMA III.
  43. Datis tribus lineis rectis,
  44. describere circulum quem ha-
  45. rum unaguaeque continoat. -
  46. Portet aurem datas lineas re-
  47. ctasnon esc parallelas.
  48. Sinc datae cres linex rectae AB,
  49. CD, BD, acque harum BD nevtri
  50. reliquarum (c parallela ex cautione
  51. adjecta Problemari, itaque reliquas
  52. secet in iplis B, Dpunctis. OpOFCE
  53. delcribere circulum, quem rectae AB,
  54. CD, BD contingANE. SECONEUE BI-
  55. Fariam anguli ABD, C DB a rectis
  56. concurrencibus in F, itaque CINE
  57. BE, DE, d cadane in AB, C. D. BD
  58. perpendiculares EA, F C. FF FrunE
  59. igirur ex aequales. Friangulum c.
  60. nim rectangulum F AB limile cA
  61. criangulo rectangulo FPB ex con-
  62. Aructione, urriulque vero commu-
  63. nis est hyporenusa BF Ouare alri-
  64. rudo F A alcicudini P P erir aequalis.
  65. Sic octendetur E F aqualis ipH F C.
  66. Cenrro igitur P interrallo L A seu
  67. EF vel FC delcribatur circulus
  68. AFC. Delcripeus est igitur circu-
  69. IuS A F C quem rectae AB, CD BD
  70. cangunc in punctis A, C, F. Ouod
  71. cractaciendum.
  72. Lemma.
  73. Per datum punctum aucere
  74. lineam rectam secantem duas da-
  75. rao ad aneulos aequales.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 327. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0333?run=74