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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 268

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.

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The machine reads it as

  1. 68
  2. PSEV DO- MIESOL AB VH.
  3. PROPOSEETO XIV.
  4. Si FICTINE QULAEHOF IIMCX rectX Continue proportionales: differentia et
  5. cremarum major exit rriplo differentixe mediarum.
  6. Id aurem est manifeltum, cum difterentia extremarum ad differentiam mediarum
  7. obtensa est se habere, sicur composira eprima, secunda, e cerria ad secundam, vel exle
  8. cunda, cerria ee quarta ad certiam. Pres aurem continue proporrionales majores lunt
  9. medixcriplo.
  10. Si fHICFIHEGIIaEHIOF MCA LecLA COHMIC prOPOEtionales: Cricut differen
  11. tia extremarum minus dupla disferentia mediarum ad differentiam media-
  12. rum, ita adoregatum exrremarum ad adgregatum mediarum.
  13. Omentum enim est eNeur differentia extremarum ad differentiam mediarum, ica ad
  14. Gregarum exrremarum plus duplo adoregari mediarum ad adgresarum mediarum.
  15. Ouare subducendo eric ur differentia excremarum minus duplo differentia mediarun
  16. ad difterenciam mediarum, ita aderegacum excremarum ad adsregacum me diarum.
  17. PROBOSTETO ZVI
  18. SITuCFINEQUAEIOF PCCCX ICX PLOPOtiOnales: quadratum adgresari et
  19. tremarum, minus quadrato adgresati mediarum, erie xe quale quadrato dil
  20. Fexencix excremarum, minus quadraco differentix mediarum.
  21. Exponatur circulus ACBL
  22. cujus diamerer AB secot in(er
  23. PEalm qUaMCUMquE CD in F: IIa
  24. QuE SIE VE AE ad FC, IEa F D aC
  25. FB. Cum igitur C. D secabitur iI
  26. El ad rectos angulos ab ea quxe ell
  27. ex C CentrO, dt connectetuIr CC
  28. erir CC dimidia compolica ex ex
  29. tremis, _ CII dimidia compol
  30. ex mediis. Sed e C. F dimidia el
  31. differencia exrremarum, d
  32. dimidia disferentia mediarum
  33. Dico igitur quadracum ex dup.
  34. OE, minusquadraro ex dupla L
  35. aequari quadraco duplae C 6, 1
  36. nus quadraro dupla CF. Id au
  37. cem est manitectum cum erians
  38. Ia CHO, GFTI, quorum GH b a
  39. sis est communis, sInE rectanBu
  40. Ieaque quadratcum ex CG. minus
  41. Cb ex EFL. FIt auensCace uo actlorum quae dimidii ad dimidium.
  42. PROPOSTTTO XVIL
  43. PXOFO5FF+O LV.
  44. quadraro ex C FI, aquarur quact AI CK C FI. HCHEetam GUaoTatUM Cx C. F, minus quadl
  45. Daco adoresao Cat Ladoresaro mediarum in et Ropolil
  46. quatuor rectarum continue proportionalium, distinguere continue pro
  47. porcionales.
  48. Propo
  49. 192
  50. POrr

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 268. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0274?run=74