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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 444

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. 444 NLVN LAE EN ADY ER. N OVA CFCL, SEV, ANTIHEAEKPZ.
  2. Secundum.
  3. Si Fuerinceres magnicudines inaequales, quarum media sumpea vicelies
  4. de quater, et ad dica minima sexies sumpexe, ean dem magnicudinem com-
  5. Donat quam minima sumpra vicelies e quater, et addica maximae lexies
  6. sumpexe: differentia inter quadruplum medix ee criplum minimae exie
  7. maxima aequalis.
  8. Sic enimminima B, media D, maxima A. Ergo ex hyporhesi B6, pluSD 24. X9u2
  9. bitur A6 pluS B 24. Elrrinque auFeratuE B 24. Isitur D24 minus B 18 xquabitur A
  10. Ex omnibus per sex dirilis, D 4 minus B3 aequabicur A. Ouodipsum est quod enuit
  11. CiaEUE.
  12. AN ATTOAETKYON OESDPHMA.
  13. Sune rres inaquales figurx planae de inter se commensurabiles; mini-
  14. ma, legmentum hexasoni; media, quadrans criansuli hexagoni; maximan
  15. complementum securiclae hexagoni.
  16. Pormir inaequalitas, de inaequalicaris gradus demonstrari; at symmetriam alymmetrian
  17. venemo demonstraveric, quin criangulum hexagoni aliud. ve rectilineum circulo p
  18. mum compatavetit. Fa vero comparatio adhuc neseicur, cize Pisuris est, iy eo decorys.
  19. vasst netra.
  20. X E Y A O H O P F Z It A.
  21. Teaque qualium quadrans crianguli hexagoni erit parcium quinque, la
  22. lium scomentum ese quatuor necesse eAt.
  23. 25 dorod AEI5.
  24. Sicenim tegmentum hexagoni B, quadeans crianguli hexagoni D, complemencum le
  25. curiclae 2. Ouoniam igitur eres sune inaequalesmagnicudines, acque harum B minima,
  26. media, Z maxima, et se habent incer se ve numerus ad numerum. P.Ao D parcium quila
  27. que, calium B exierrium aur quaruor, de nihil praeterea. Sic aurem, (ed tieri posIE, P.a
  28. cium irium; exprimo igicur de secundo Lemmate erie J. undecim. Iraque complemet
  29. cum constabir duobus legmenris ee dodeanre segmenri. ScnluS aUteM FEPUBNAT. QUa
  30. re CM B quaTUOF.
  31. Elenchus aoomozisias.
  32. Posia D magnicudine parcium quinque, porest ostendi D major elle parcibus cribus.
  33. An vero ideo B eric quatuor, concesto etiam co, quod nescicur, habere le B ad ,
  34. numerum ad numerum: Omnino ea conclulio asyllogistica est. Ouid enim (i B stacuu
  35. cur quacuor parcium cum aliqua racionali tcactiuncula. An quaruorcum Cemiste se non
  36. habere ad quiuque, vrnumerum ad numerum, hoc est, ur 9 ad 10, alius quam anoz
  37. Sinos n cirecoperenros negiveric: Sane polira D parrium 11, fic B paulo major 9; L
  38. ropaulominor 17. Secundum limires Acchimedaos. Ex tis aurem duobus id daet
  39. dimanarum reliqua mesexprur naru rd eubador r8 ninas iu ras r Srpecr dm aveias oa
  40. uate.
  41. HEeas YS AVLo CAEH ES.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 444. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0450?run=74