Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 440

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: 0.82.

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

The machine reads it as

  1. NEV NEMEN ADVER SVS XTOVA
  2. Ac vero, esturperimeter circuli ad diametrum, ita quod sc lub pettetco circuti et
  3. quadrance diamerri ad id quod sr sub diamerro et quadrance diamects. Sed id quod
  4. Cub perimecto circuli e quadcanre diamerri, est aequale circulo. Ouod durem sc lub dis
  5. merro d Guadrance diamecri, iplum est quadrarum à semidiameero. Frgo es urperimi
  6. terad diamertum, ita circulus ad quadrarum e lemidiametro. Oualium aurem diamet
  7. CAI, talium perimeter major eR3= 2, d ranco manifestius major 3 (eu 3 f. Oualu
  8. igicur quadtarum lemidiamerri A B erir quinque, ur ance, calium CIr CUTS CFIE majOF15.
  9. Hlexaconum actem in iildem partibus fuir minus r3. Ouare circitas aet Hexagonum
  10. inscripcunts)orem habebicrationem quam 15 3 ad 13, id est, quat 125 ad 104, Ccu 6 dc
  11. 4+3F, e um Seridentius majorem, quam (ex ad quinque. Ouoc etat ostendendum
  12. Non igieur na (~ rd Espaesuae circulum quadrant, qui eum hexagono e Gucncae parti hexasoni s
  13. ruune aequalem, cum sit Major secundum limites ab Archimede M E idicor dexcorprasticuros. Scho
  14. aurem nostrae Platonica func, oprosessores candidi. Ouare ne princip Geometricis obluctamini. EC re
  15. ro uccirculum ituatunt enennrai, sic in damne abcex com pensationem caudae suae bircondinumm
  16. 44C
  17. acuriorem versus partem jam decurtentor.
  18. PR ODOSFFIO V
  19. Triginta (ex HCxAGONI CEGMEnEA majora sunE CHCHIO
  20. Ouoniam enim circulus adhexagonum ei inlcripeum majorem habet lacionem, quat
  21. major sexrance circuli. Sed ditterr circulus abherasonoper (ex legmenta hexagoni. Set
  22. isitur (egmenra hexasom uperasst lestantem circuli, acque adeo crisinta (ex segmenta
  23. eruntasse circulore majora. Ouod erar ostendendum.
  24. PR OPOSTFTO VI.
  25. Cex ad quinque, (eu as dd dextantem, Ideo Melen et CCum e hexasonum eta
  26. Omne seomentum circuli majus est sexrance secoris similis, similiter.
  27. sde delcripet C circulo, cujus semidiameter bali segmenti propoliti et
  28. aqualIS.
  29. In descripeo sub A cenrro, circulo BD C, subrendatur quaevis circum ferentia BD; cam
  30. Bat aurem circulum recta BE, ec cencro B incerrallo BD describatur circulus alter Det
  31. Circumterentia igicur E. D similis erie semilsi circum ferentix BD. Traque suma
  32. circumterencia iphus DE dupla, dc jungancur BF, AD. Similesigitur erunt sectote.
  33. FBD. Dico leemencum circuli BD C concentum recta BD et circumt Eul
  34. Tabrendicur, elle majus lenrante LCcl L BD.
  35. Delert.
  36. Arc
  37. ctic
  38. con
  39. culs
  40. qua
  41. ine
  42. u
  43. ex
  44. ter
  45. ten
  46. quc
  47. Car
  48. tHC
  49. u
  50. 10
  51. Geo
  52. 110
  53. aCC
  54. si
  55. EUT
  56. mi

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 440. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0446?run=74