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Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 232

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. RFFF CL IOAYM AEOME EECAEY M
  2. PROPOSTTTO LL.
  3. Si fyerineeres linex rectxe proportionales: QuadFRLUM MINOLS CXHLCMa
  4. adjunctum rectansulo sub differentia extremarum ex ipsa minore extreman
  5. quatur medix quadrato.
  6. Exponatur canonicum diagramma
  7. erium lincarum rectarum proporriona-
  8. lium, _ incelligicor F C minor exrrema,
  9. cui aequalis ponatur BC, unde differen-
  10. tia inter B Fmajorem extremam _ BC,
  11. id estF C MInOREI EXEreMAM, (IE FC.
  12. Dicoguadrarum ex C F adjunctum re-
  13. ctangulo (ub C F, F C, aequari quadraro
  14. ex D F. Nam quadracum cx C F aliter est
  15. Factum ex C F in GB. Leaque duo HXC
  16. Facta ex C F in GB, e C F in F C valene
  17. FaCtUm ex C F in FB. C ui Facto (UB ex-
  18. cremis consequenrer aequale est quadra-
  19. tum ex D Emedia inTCTCxETeMI2S.
  20. C ON SEC Y A H
  21. quadrari adfecti adjunctor plarii subtarere
  22. Itaque cum proponetur A quadrarum, plus B in A, aequar D quadrato: intelli-
  23. rerur D media inter extremas, B differentia earum dem. Et ex media es differen
  24. tia extremarum quarentur extrema, quarum minor erit A, de qua quaritut.
  25. Elchic ex datis O P, FD contruentur proporrionales BF, FD, F C. FF erix F C minot
  26. quaesira. VE ex Zerericis porerararsui, de jam Rgura Ceomerrica per synche lin demonstrat.
  27. PROBOSEETO X.
  28. Si Fuerine eres linex rectX proportionaleS: GUadFALUI Ma) OFIS CXEKCMa
  29. mulcatum rectansulo sub difterentia extremarum, _ ipLL MaiOFC CXTCMa
  30. requatur medixe quadrato.
  31. Repetatur proxime anrecedens con-
  32. Aructio. Dico quadeatum ex BF, mi-
  33. nus rectangulo Tub BF, CF, aequari
  34. QuadracO exDF.
  35. Ouadratum enim exBF, valer tactum
  36. ex BF in CF, e insuper ex BF in BC. A
  37. quadratoisirur ex B F auteracur Factum
  38. ex BF in LG, relinquirur factum ex B L
  39. in BC, id est ex constructione in FC
  40. Cui facto lub exrremis consequenter xe-
  41. quale est quadratum ex D Pmedia intex
  42. exTTemAS.
  43. E V
  44. N
  45. It
  46. fetu
  47. Mextr
  48. lit

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 232. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0238?run=74