Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 112

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: 0.91.

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The machine reads it as

  1. 112
  2. DE R ECOGNEFTONE
  3. Sint continue proporrionales 2. 2. 4. 8. Dicetur 15 C = + 0 0, aequari 27 44. e fiet
  4. 2 N 7, Vet 14.
  5. T E E OR E N A VTII.
  6. EEB in A quad. quad. = A quadrato. cubo, xquetur Z plano- solido:
  7. est B compolica ex quinque continue proportionalibus, et Z plano. (0-
  8. lidum quod Ec ductu alterius exerema in quadrato-quadratum compoli-
  9. ex equatuor reliquis: et fc A compolita ex quatuor primis, rel quatuor po-
  10. Aremis.
  11. Sine continue proporcionales 2. 2. 4. 8. 16. 3190-- + 9C, aquabieur 810000. 8
  12. fit 1N 15, vel 30.
  13. T E E OR E M A IX.
  14. CFB in A quadrato cubum = A cubo- cubo, aeguetur Z. Solido- (olido:
  15. Pest B compolica ex sex continue proportionalibus, et Z Tolido-Colidum
  16. quod hrductu alterius exerema in quadrato- cubum compoliex a reliquis:
  17. e sic A compolica ex quinque primis, rel c quinque postremis.
  18. Sine conrinue proportionales 1. 2. 4. 8, 26. 32. 63DC = = CC, aequatur 916 132 832.
  19. e sit LN 31, vel 62.
  20. De affectis sub gradibus intermediis quae per interpretationem
  21. deprimuntur.
  22. Y E E O R E M A Z
  23. Ci B planum in A quad. = A quad. quad, X quetur Z. plano. plano: est B
  24. planum compolitum ex duobus quadraris duorum laterum; quorum pri-
  25. miductuin sccundum tic Z plano- planum: d ft A quadratum majus duo-
  26. eum, minulre.
  27. Sint latera 1. 4. Dicetur 17 9 = 1 O C aequari 16. ex fit LN F, vel 4. Quod sinnusnumerus in-
  28. telligatur quadrarum, radixve plana. 17 N - + 9, aequabitur 16. es fit 1 N 1, vel 16.
  29. T. A E OR EM A ZI.
  30. EF B solidum in A cubum = A cubo- cubo, aguetur Z Solido. Colido:
  31. est B Colidum composicum exduobus cubis, quorum primi ductuinle.
  32. cundum AcZ. Colido. Tolidum, ee sic A cubus major duorum, minorre.
  33. Sunto latera 2. 8. DiCetT SI C =-2 C C, aequari 512. e7 sit 1N 1, vel 8. Duod si L N intellisa
  34. cur cubus radiuve solida, 513 N = 1 8, aequabitur 512. es fit L N L, vel 512.
  35. E H E O R E M. A XII.
  36. EFB plano planum in A quad. = A cubo cubo, aquetur Z. Solido. Coli-
  37. do: est B planum compolitum ex quadratis erium planorum provorrio-
  38. nalium, eZ Colido- solidum quod sir ab uno plano in aggresatum quadra-
  39. eorum a duobusreliguis planis: d HE A quadratum majus, minutre.
  40. Sunto eria plana proporrionalia. 1. 2. 4. Dicetur 21 O = TC C; aequari 20. es fit F N 1,
  41. vel 2. Ouod si L N incellisatur quadracum radixve plana, 2L N = + C, aequabitur 20. es fiet
  42. IN 1, vel 4.
  43. T A E OR E M A XTTI.
  44. SFB Planum in A quad. quad. = A cubo- cubo, xquetur L. Colido. 1011
  45. do: est B planum compolirum a tribus planis proportionalibus, de L
  46. Colido Colidum quod sicab uno plano, in quadratum compoliti ex duobus
  47. reliquis: ec fic A quadeatum majus duorum, minutre.
  48. Sint
  49. in
  50. d

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 112. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0128?run=74