Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 222

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: 0.86.

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

The machine reads it as

  1. Plano. plana
  2. Summa plano. plastotu
  3. liorum.
  4. Y X
  5. Alatere secundo in quadrupium cubum
  6. laceris primi
  7. quautato latetis sebuito s sbdt
  8. plum quauralum primi.
  9. A cubo lateris secundi in quadrupIum
  10. lacus primum.
  11. Ouadrato-quadracum lateris secunato
  12. latere secundo in solidum exple-
  13. tionis.
  14. Aquadrato lateris secundi in planutio
  15. a baod lateris secundi in coefficienter
  16. loneicudinetis.
  17. Plano. plana abt
  18. Summa plano. planorum abla
  19. ciciorum.
  20. Eacessus ablariciorum, aequalis
  21. residuo resolvendo arulso qua
  22. drato quadrato.
  23. Yague (65C = 1 O O, aquetuTF, 48Y, 544. fit XX 38 lacus unum, e duobus de quibus aequalita
  24. potest explicari, ipsum que minus, uc indicas limitum praefinitio. Hujus cubus est 54, 872, ad quem dun
  25. adplicatur plano. planum 1, 481, 5 44, oricur lacitudo 27, quantam etiam relinquie loneicudo 28, abla
  26. Ia e65. Intelliguntor quatuor continue proportionales, ex quarum prima, secunda, ex terria compona
  27. Tur 38, quarea vero sit 27. Vnde summa omnium 65, quanta est coefficiens. Latus ixirur alierun
  28. componetur ex quarta, secunda, e terria. Terria esto LN. PBitur LC. + 27 Q. = 729N, aequabitut
  29. 273 702 solido facto a 3 8 data in 729 quadrarum quarca. Itaque terria erit 18, secunda 12. Aqul
  30. adeo latus majus 57.
  31. Paradisma secundum analyseos quadrato quadral a is a plibi
  32. plano sub cubo, ad in veniendum radicem majorem.
  33. P Eductio laceris lingularis primi.
  34. Coefsiciens lonsieudo
  35. Plano. planum multarum resol-
  36. vendo quadrato- quadrato.
  37. Plano. planum restituens.
  38. Plano. planum resticutum.
  39. Plano. planum principale minuen.
  40. dum.
  41. Excessus plano. plani principalis, reli
  42. quumve resolvendi arulsi quadrato-
  43. quadrari.
  44. 8 12
  45. expletonis.
  46. subcubica
  47. dd
  48. Ouadraco. quadrarum laceris primi
  49. a coessicience congicudine in cubum lavertu
  50. primi.
  51. T Edu.
  52. inisore
  53. pie
  54. inisor
  55. Mi
  56. it
  57. p
  58. solv
  59. Madra
  60. nar
  61. Iue
  62. u

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 222. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0228?run=74