Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 241

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. in duca
  2. ue
  3. enda
  4. ionens
  5. iteCo
  6. Ot
  7. natO
  8. 1A1d
  9. ipsi
  10. 15 qua
  11. OVPPLEM E N TVM GEOMF ZRTX
  12. Citur Per ceneum minor lcproportionali inter alcerius parreminteriore
  13. Itaucincidat circulo, _ ulterius porrecta cum quoque circulum lecet.
  14. circulum sumpro, educta. Vna BC D ETANHIENS PEF A CCHETUI, AIICFL BCP. Vde Palces
  15. exreriores secancium sinE BC, BF; incerIOTeS CD, EF. Sit aurem BC minox Me-
  16. dia proporrionali in-
  17. TETBE, LF. (HIOCaU
  18. rem accider omnino,
  19. E quando FF est ma-
  20. Jor ipla BE: quoniam
  21. BC minima est inci-
  22. denrium circulo ab
  23. eodem Bpuncto, pro-
  24. Portionalis auré me-
  25. dia inter BE, EF major
  26. ericipIa BE.) Dico abSC
  27. Bposse duci eam pro-
  28. porrionalem icaurin-
  29. cidat circulo, ee ulce-
  30. rius porrecta ipsum
  31. quoque circulum se-
  32. cec. Circulum enim
  33. eundem tanGAE BC.
  34. Fric ioicur BG major
  35. proporrionaliinterBE, EF. Ntam et BC PlopOtionalis inter BE _E coram BF. Ouare
  36. acidens cducenda contisterinter puncta C. G. C onuIaC Tahic in IL. P orrecta igicur BF Lul.
  37. cerius secebir eundem circulum, urpore in I. FF conltar propou.
  38. PR 0POStLFO II.
  39. Si dux linex rectae ab eodem puncto extta CCuu Cuucra spute
  40. CCHE, UNaPCF Centrum, altera lecus: est secans prima ad secancem secun-
  41. dam, licut pars exteriox Secunda ad partem exteriorem prime.
  42. Circulum (OB A CCBErO
  43. descriptum, sec ene dux li-
  44. nex rectae ab eodem B pun-
  45. eto exrra circulum (umpTO,
  46. cductae. Vna BC D, altera
  47. BEF. Vnde parres exrerio-
  48. res secantium sInE BC, BF
  49. Dicoese BD ad BF, SICUE
  50. BE adBC. Octensum est e
  51. nim in elemenris, id quod Ar
  52. (ubBD, BC, aequari ei quod
  53. CicTubBF, BF. OHAFE CON-
  54. Narprovolicum.
  55. _ Parrem exteriorem. Potest ab eodem puncto duei illa proportionalis,
  56. Circulum sub A cenrro descriprum, secent dux linex rectae ab eodem B puncto extra

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 241. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0247?run=74