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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 126

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: 0.87.

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

The machine reads it as

  1. 126
  2. Suntoproporrionales 1.
  3. 220 211. 11. 1.
  4. 1o
  5. 2. 4. 8. 16, 32. 23IC- F1OC, aequatur 96040. C
  6. sit 2N7. Et rursus 231C- 79C, aequatur 96040. 8s fit IN 14.
  7. E E O R E M A VI.
  8. CFB Colidum in A quad. + A quadrato. cubo, aequetur Z plano- Colido.
  9. e rurlius B lolidum in E quad. - P quadrato- cubo, aeguetur Z plano- soli
  10. do: lunt lex proportionales continue, quarum exeremx ducte in guadra-
  11. tum a differentia tertiae e prima, taciunt B Colidum. Fit autem Z plano- pla-
  12. num a B Colido plus cubo a differentia certie e prime in quadricum diste-
  13. rentie ejuldem; vel a BIolido minus cubo a ditterentia secundae _ quarta
  14. in quadratum dicterentix illius inter se cundam de quartam: d quum prima
  15. intelligitur minor inter extremas, tir A cercia minus prima. E quarta minus
  16. secunda.
  17. I. II. III. IV. V. VT.
  18. Sunco proportionales r.
  19. 20
  20. 4. 8. 16, 32. 297Q = 1OC, aguatur 2916.
  21. e fit LN3. Et rur sus 2978- 19C, aquatur 2916. 8 fit 1N 6.
  22. C A P Y F ZXT.
  23. alia rursus aequalicarum inversarum consticuriva.
  24. T E E O R E M a I
  25. EFB planum in A = A cubO, XGuCTE Z Colido, _E PUKSUS E cubrs =B
  26. plano in E, aquCtUE Z Colido: SunE treSpropOxtionales, quarum quade2-
  27. ta juncta, conticiune B planum, Cumma aucem exrremarum ducta in me-
  28. dix quadratum, vel altera extremarum in aggregatuM QUadrATOTUM a
  29. duabus reliquis, Facic Z. Colidum. _ AE A alFCFUITa CxTTeMaTUIM, P vero ea
  30. rundem lumma.
  31. Sunco proporcionales r. 2. 4. 21 N = 1C, aequatur 20. 8 sit L N L vel 4. EF rursis
  32. LC - 21 N, aequatur 20. 85 fit 1N5.
  33. E H E OR F M A II.
  34. CTB in A quad. = A cubo, aequetur Z Colido, e rurlus Bin F qurad. p L
  35. cubo, xquetur Z. Colido: lunteres proportionales radices, quarum Cum-
  36. ma est B, compolita aurem c duabus prunis adjecta compoliex a duabus
  37. reliquis, dum ducitur in medix quadratum, vel altera extremarum in qua-
  38. dracum compoliex a duabus reliquis, Facic Z. Colidum. X HE A AlFCFIIEE A
  39. praedictarum compolicarum. P MCdiA InFEF CXECMaS.
  40. Suneo proportionales T. 2. 4.
  41. Q FIC, aquatur 36. 8 fit LN 2.
  42. 78 = 2C, aquatur 36. 8 sit L N 3 vel 6. Et rur sus
  43. DE R E COCHFFTONE A OV A FF ON VH.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 126. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0132?run=74