Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 156

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: 0.89.

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

The machine reads it as

  1. 156
  2. DE EML E N D A Y F O N E
  3. Zin A cobum 2, EquatuT Z quad. - quadc. 2 = A quad. quad. Cujus equaliraris parre
  4. urravis quadrara, omnibusque rice ordinaris, in cam iplam aequalitarem inciditur qua.
  5. draro cubica cubicam, quae expolita cA.
  6. Iraque A quadrarum tir X quadrarum plusminulre larere binomix residux, seu nesa.
  7. ex v K quad.. quad. 12 - X quad. 3
  8. Sit X I. ALN. 2Q 9 - 2C + 4N, aquatur 2.
  9. Igieur 2 9 = 1 e 8, aequabitur
  10. 4 - ~ 12. C5 2 0 fic 2plus minusre latere binomina negaia N 12 -3.
  11. C A P Y F XI.
  12. Singularium aliquot consticurionum, ad aequalicates mulciplicirer adse
  13. ctas perrinencium, collectio.
  14. T E E O R E M A T
  15. CF A quad. = + B in A, xquecur B quadrato: est B dupla longitudo, sect a in
  16. eria proportionalia legmenta; quorum primum idemque majus, eAt B;
  17. secundum A. quo in operc, dicicur B secari me dia ex extrema ratione (emet
  18. CUMPEa.
  19. P H E OR E M A TI.
  20. EF A cubiis -+ B in A quad. - + B quad. in A, xquetur B cubo: est B dupla
  21. lonoicudo, secta in quatuor continue proportionalia legmenta; quorum
  22. primum idem que majus, est B; (ccundum A. quo in opere, dicitur BsccarI
  23. media ex extremaratione duplicata.
  24. T IE OR E M A TII.
  25. CFA quad. - quad. F B in A cubum -F B quadr. in A quadr. + B cuboin A,
  26. aequetur B quad. - quadrato: est B dupla longitudo, lecta in qu’inque con-
  27. tinue proportionalia segmenta; quorum primum idemqimajus, est B; sccun
  28. dum A. quo in opere, dicitur B secarimedia ee exerema ratione rriplicata.
  29. T H E O R E M A IV.
  30. ETA quad. - cubus F B in A quad. - quad. F B quadr. in A cubum F B CU
  31. boin Aquad. + B quad.. quad. in A, X quetur B quadrato. cubo: eAt B du-
  32. pla longirudo, secta in sex continue proporrionalia Leomenta; quorum
  33. primum idem que majus, est B; secundum A. quo in operc, dicitur B (CCAFI
  34. media _ extremaratione quadruplicata.
  35. TH E OR E M A V.
  36. EF A cubo. cubus =+. B in A quadr. - cubum -+ B quade. in A quadr.
  37. quadr. + B cubo in A cubum F B quadr. - quadc. in A quadr. + B
  38. quad. cubo in A, aeguetur B cubo- cubo: estB dupla lonsitudo, lecta in le-
  39. prem continueproportionalia leomenta; quorum primum idemque inajus,
  40. esB; Sccundum A. quo in opere, dicitur Blccarimedia e extremaratione
  41. quincuplicata.
  42. E A P V F ZI
  43. Farundem collectio altera.
  44. Y H E O R E M A Y
  45. A quad. = B in A, _GuCtT B IM L:. CIL BPIIMLA MILIOE INEOT CXFFCMAS
  46. inserie crium proportionatum: ageresatum vero reliquarum duaruI
  47. hit Ln d Hl hlecunca.
  48. TLEO-
  49. t
  50. Prim.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 156. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0162?run=74