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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 142

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: 0.88.

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The machine reads it as

  1. DE E At E N D A FFON C
  2. T E EO R FM A I.
  3. ETA quad. - quad. F Blolidoin A, XguetT Z plano- plano, _ F quade.
  4. cubus + Z plano- plano 4 in P quad., aquetur B Colido. solido. Inno-
  5. relcat autem E ese D: A quad. I D in A, XquabitF ~ coliao = D quad. 2
  6. IH B O R P. M A II.
  7. er A quacr. - quadr. = B Colido in A, aquetur Z. plan O- planO, et F qua-
  8. Ddrati- cubus = 1. Z. plano- plano + In F quad., xquetur B solido. Colido.
  9. Innotelcat aurem P. eAC D: A quadr. = D in A, XquabiEUF ~ solido - L
  10. quadr. =.
  11. Constirutione aurem cum hujus cum ancecedentis equationis bene aenica: sune duo
  12. latera, d quibus quadcaco. quadrarorum differentia, applicata ad aggregatum larerum.
  13. Facie BColidum, id est Factum duplum ex rectangulo sub laceribus in dhifferenciam, adjun-
  14. ctum differentia cubo.
  15. Diserencia veco iplorum laterum eAt E. seu D. dCFEZ plano- planum, a quadraro dif
  16. Eerentix lacerum plus rectangulo sub laceribus in iplum rectangulum. ec A est latuS
  17. unum; hic majus; illic minus.
  18. In serie vero quaruor continne proportionalium: AFD differentia exrremarum: B(0
  19. lidum, differentia cuborum a singulis alcerne sumpeorum: Z. plano planum quod Hc ex
  20. ucraris excremarum in differentiam cuborum a reliquis alterne lumprorum: ec sIC A pri
  21. ma; hic major inter extremas; illicminOr.
  22. Sint proporcionales continue 2. N C40. Y C200. 10. 18B Y 832N, aguetur 1680.
  23. Igitur 1 O. + SN, aequabitur 20. es sit L_ 2.
  24. Et SErOO = 83ER, aequerur 1680. Peitur 1O - BN, aequabitur 20, G fiL X N 10.
  25. Noca antem est 8 disserentia inter 2 es 10. quoniam LC. = 672DN, aequatur 692 22 +. Pnub
  26. sit LN 64. quantum est quadratum abs d.
  27. T H E OR F M A TII.
  28. E+ Blolidum in A = A guadr. - GuadC., EGLIatIE Z platO. pLANO; eC P qu2.
  29. drati- cubus = Z plano plano 4 in P quadr., aequerur B solido- Colido.
  30. Innorelcat aurem P. CNC D: D in A = A quad., x quabitur D quadi. 3
  31. Consirurione aurem aequalicaris bene aenira: est B solidum quod sic sub 2eoreonto
  32. quadracorum in aggregacum laterum, seu alicer, cubus agoregati duorum lacerum, mul-
  33. raeus facto duplo absrectangulo sub laceribus, in aggregacum larerum: ex Z plano- pla
  34. num factum abs quadrato sogregati laterum minus rectangulo, in ipsum rectanoulum
  35. et AC F. Ceu D aggregarum iplorum lacerum, A majus iplorum minuere.
  36. In lerie aurem quatuor continue proporrionalium: est B solidum aggresarum cubo.
  37. cum a quatuor lingulis: Z. plano. planum quod tic sub urravis extremarum in aggrCGaEuNS
  38. cuborum a reliquis: D degregaum excremarum: _C Ec A prima, vel quarta.
  39. Sine proporrionales continue. 2. N C 40. V C200, 10. 1248 N = 1 O 0, aque
  40. tur 2480. Ioitur IZN = L 9, aequabitur 20. 5 fit LN 2, vel 10. Noca autem est 12. agerCB
  41. TuM 2 85 10
  42. 1C . 9920X, aquabuur 155,304 C fit L 144. quancum est quadrarum abs 12.
  43. P R O B L F ML A II.
  44. Dualicatem giradeato. Guaatal2Hecclub cubo, permedium cubica
  45. radicem habeltis planam ad quadraticam deprimere.
  46. Pr

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 142. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0148?run=74