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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 70

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. ferencia 1. Vnde A platu fet 3. Guo lau DPo Telinquitur ; cum B plano, reliv
  2. quitur I.
  3. Invenire ametoaolaleta iub quibusquodtirplanum, addico ucriut.
  4. que quadraco, lic quadratum.
  5. Sit lacusunum B, alcerum A. OpOPTeE Ag. F B in A, = Bg. Equari quadrato.
  6. Fingatur illud abs A- D et Ordinetur aquario. quad. - B quad. x quabitur A. Vnde latUS
  7. primum EcCmile B9. F B in D2. Secundum Dg. =B9. Duod surem sub iis AC, adje
  8. cumueriusque quadraro est simile D quadrato- quadraco, = B quadraco. quadraco,
  9. = B quadroro in D quadearum 3. F B cubo in D 2, F B in D cubum 2. Ip(a aUTEM
  10. radix B quadrato, Y D quadrato, -= B in D.
  11. Sie D2, BL. Vnum e lateribus est 5. alterum z. radix aurem quadrari compossis e singulis borum
  12. quadratis ex plano sub laceribus, est 7: nempe 49 constat 25, 15, 9.
  13. Lemma 2d sequens Z cFeticumm.
  14. sunt aequalia eria solica a duobus lareribus diducta,
  15. rnum a latere primo in quadratum secundi, adjectum rectaneulo sub late-
  16. ribus.
  17. alterum à latere secundo in quadratum primi adjectum rectaneulo-
  18. Terrium ab laterum summa in ipsum rectanculum.
  19. Sune duo latera B dc D. Dicorria Colida ab iis diducta esse equalia.
  20. Primum abs B in D quad. F Bin D.
  21. Secundum abs D in B quad. F B in D.
  22. TCt abs B + D in B in V.
  23. L L L FTC
  24. et
  25. Sit B planum 56, D planum 48, C Clatus unum, oriur Z latus alterum. Summa horum 3. dis
  26. = L L LIC Y H A
  27. Id aurem inepede. Glottam linsula haec eria Colida Faciune B in Dg. +. D in B4.
  28. Invenire numero eria crianoula tcclanoula, aequalis arca.
  29. EF LZLCYM L l.
  30. Perpendiculum peem etansuli, etto simile B in A 2. Basis vero, D q. L B id
  31. Secundi, D in Z. Bahs, B9. + B in D. Terrii, B + B in A2. BaIS, D in b.
  32. D quad.
  33. Areae igituTerE
  34. RExe quales ex anrecedente LemmArE, neM
  35. L D in B9. in A. Superestigitur ur planahrporenulis similia, sine rarionalia. AEVe
  36. Bulae
  37. ine B in Dg. inL
  38. calia latera B d D polsune per ancecedens Zecericum eligi, ut B9. F Dg. + B in .
  39. aequetur quadraco. Tale quadrarum, etto A9. tu plutatis balis pet Mlespretacio
  40. nem A9. = B9. SCula AG. Dg.. LerCI B + B glladrarum, A quad.
  41. A qu2

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 70. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0086?run=74