Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 124

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: 0.88.

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

The machine reads it as

  1. 124
  2. DF RRE COGNEFTONF
  3. Sunsolatera L. 2. lD- F lN, aquarur 2. ex fit L NL. Rursus + O = L N, aequabitur 2. 8 fit
  4. + 2.
  5. P A B O R E M A II.
  6. EF A quad. quad. + B Colido in A, aquetuF Z plano- planO, _ TUPIIS F
  7. quad. quad. = B Colido in F, Xquetur Z. plano. planO: TUINE QUAEIOFCON
  8. tinue proportionales, a quibus cubi alterne sumpei differunt per B Colidum.
  9. Fic aurem Z plano. planum, ductu alterius extreme in disterentiam cubo-
  10. rum a reliquis alterrie lumprorum: e est Aprima minorinter extremas, L
  11. QuarFa.
  12. Sunto coa proo I. N C. 2. NC. 4. 2.
  13. e fit LN F. RursuS 1Q O =SN, aequabitur 6. e fit 1N 2.
  14. F I E OR EM A ITI.
  15. 29Q =5N, aequabitur 6.
  16. CTA cubo. cubus =+ B plano. lolido in A, aquetur Z Solido. Colido, et
  17. Prursus P cubo. cubus = B plano. Colido in F, Eequetur Z Colido- solido:
  18. Cunt lex continue proportionales, a quibus quadcaco-cubialcerne lumpu.
  19. differune per Bplano-Tolidum. Fic aucem Z Lolido. lolidum, duetu ilterius
  20. extreme in ditterentiam quadraro. cuborum à reliquis alcerne lumoro-
  21. rum _ est A primaminOFInEeF CxErCMAS, P (eXFA.
  22. Sunco proporcionales continue 1. N OC. 2. N OC. 4. N OC. 8. N OC. 16. 2
  23. 2CC = 2I N, aequatur 22. 8 fit LN L. Et rursus LCC - ZLN, aequabitur 22. 8 fit L N2.
  24. Y H E O R F M A IV
  25. OF A quad. quad. F B in A cubum, EquetIE Z plano plano, e rursuS F
  26. quad. quad. = B in P cubum, ae quetur Z plano. p lanO: LIINE GULALIOF CON-
  27. tinue proportionales, quarum alterne lumpearum differentia est B. FF AE
  28. Z plano. planum ex ductu veriulris extreme in cubum differentig reliqua
  29. rum alterne sumpearum, _ dum incelligitur prima mInOF INEeF exEremaS,
  30. eAt A difterentia alcerne sumpea trium primarum, P difterentia erium po.
  31. Aremarum.
  32. Suntoproportionales comnu l. 2. 4. 8.
  33. rursus 192 - 5 C, aequabitur 216. e fit LN6.
  34. 29Q + 5 C, aquabicur 216. 8 fit LN 3. FB
  35. P H E O R E M A V.
  36. CF A cubo. cubus F B in A quadrato cubum, eguetur Z Colido. solido,
  37. D_ rurluS E cubo- cubus =Bin E quadrato cubum, xguetur Z Colido
  38. Colido: lunc lex continue proportionales, quarum alterne lumpearum dit-
  39. Ferentia est B. Fic aurem Z Colido. solidum, ductu urriulris extreme in qua-
  40. drato. cubum differentie reliquarum alterne lumpearum, ex dum intessioi-
  41. cur prima minor inter extremas, tir A differentia alterne lumpea quinque
  42. primarum, e P differentia quinque postremarum.
  43. Sunto continue proportionales, 1. 2. 4. 8. 16. 32. TCC - L 2TOC, aquatUr
  44. 515; 632. ex fit INII. EtrursuS LCC -2r O C, aquabitur 5153632. 8 fit 1N 22.
  45. C A PV F ZZ
  46. Equalicarum inversarum consticuriva.
  47. Inversarum denique systatica sunt hac.
  48. ET E O R F M A I
  49. SFB planum in A = A cubo, aucta L. LoldO, LTurtuS L CUIbUS =BPId
  50. noin l, aeqlu L. loldo: sunc rres proporcionales, a quibus quadr aca
  51. alECF-

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 124. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0130?run=74