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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 42

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: 0.86.

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

The machine reads it as

  1. 2 A N C IS C I
  2. +
  3. +
  4. R
  5. lC
  6. ZEZEZLCVW Y
  7. differentia duorum laterum, _ ad9rCSATO COrUM
  8. venire latera.
  9. Sic data B disterenria duorum lacerum, et datum quoque D ad
  10. Blchatun corumdem. Oporrer invenire lacera
  11. Lacusminus esto A, majus igitur eric A +. B. Adoregacum ideo
  12. TaTOrUM A 2 = B. AC idem dacum est D. OVATC A 2 + B XquATUI
  13. D. Fc per anrirhelim, A 2 aequabirur D =B, ee omnibus subdu.
  14. Plaris, A aquabieur D 2
  15. Vel, lacus majus esto F. MinusiBitIECriE E =B. Adgregatum ideo latCrUM. P 2
  16. =B. AE idem datum est D. OuATE F. 2 =B aequabituE D. de per ancichelim, E 2
  17. aequabitur D .; B, ec omnibus lubduplaris F. ae quabicur D = + B 3
  18. Daca ixitur difterenria duorum lacerum ec adereeuco corumdem, inveniuneur latera.
  19. Enimvero
  20. Aderezarum dimidium laterum minus dimidia differentia aequale est lateri
  21. minori, plus eadem, majori.
  22. Duod iplum est quod arguit ZetelIS.
  23. Sit B 40. D 100 A fit 30. F70.
  24. Z. E Y E XTCY M. TI.
  25. Data ditterentia duorum lacerum, e ratione corumdem, inrenire
  26. latera.
  27. Sic data B differenria duorum laterum, dara quoque rario minorislateris ad majus.
  28. uc R 2d5. Oporret invenire latera.
  29. Lacus minusesto A. ErGO laUS MajuISCrIE A F. B. OuarE A ad A. F B, est BE R ad
  30. S. Ouo analosismo resoluro; S in A aequabitIE R in A, + R in B. EEper cranAa
  31. tionem lub contraria adfectionis noca S in A, = R in A aequabituE R in B. et
  32. omnibus per S -R divisis; m aequabitur A. undeest, uES. = R ad R, ita B ad A.
  33. Vel lacusmajus esto E. ErgO latUS = CrITE =B. OUare F ad E =B, est ucS
  34. ad R. Ouo analogismo reloluro; R in F. aequabitur S in F., =S in B. FF pet
  35. transtarionem congruam S in F., = R in F. aequabitur S in B. Vnde cs, DES =R
  36. 2dS, ica B ad F
  37. Dara igiur differentia duorum lacerum, de rarione corumdem, inveniuneur late
  38. ra. Enimvero
  39. Est ut differentia similium duorum laterum ad simile latus majus minusver
  40. ita differentia laterum verorum ad latus verum majus minusve.
  41. Sit B 12. R 2. 53. fit A 24. F 36.
  42. ZETF

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 42. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0058?run=74