Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 264

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: 0.92.

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The machine reads it as

  1. 264
  2. S EV DO- H E S OE A BV M.
  3. CB, rurus erit DBmajoF ip (a CB. In Continuata itaque AC SumaTuE BE ipE DB aequalis,
  4. _C pet A agatuT recta AF ip A BF parallela, secanS BC continuatam in F. FE CeNETOA, M
  5. cervallo AF delcribatur circulus, quem AB urrinque continuara secer in G, TI, BC vel
  6. secetu, I. DCBleomenta CB, BF, BI, BI elle in conrinua proporrione. Excitetur
  7. enim perpinteuit recta FK, iph FL perpendicularis, occurrens diametro OFL cou
  8. FinvBEX in R. Ericisime BC ad AB, SICUE CF ad AH; pataseLA aMICI CONAruCta CuI
  9. BF AF. quare est BC ad BF, SICULC F ad AF. EF per lynehelin BC a AD qua COMP
  10. sira est ex BE e dupla BC. ita C F ad compolicam ex AF L FL, qua Guidem F I dup l2
  11. iDtuS CF. OuarE CompOlITa ex AF ex FI est eadem quX LA. VIINquE aetmaEuT AF L
  12. AG, HEK O ipH FL aequaliS. F. A auTeM R C continvario aIAMCHTAA PWHCLLIOCCULLUISC)
  13. rectae qua secuir in (eripram ad angulos rectos per ipliuIS CxErCia. L.IGDMMHEIM COnFIIS
  14. propoctione legmenta, CB, BF, BI, BII. Ad dacum itague Al Sc ABC ci aquale
  15. quitum sectione inscriprae e diamerri, cundem que reliquum crecto eujulvis erians
  16. rectanculi dummodo illius hyporenula major sictriplo petpendiculi, exhibica (unE
  17. segmetira in continua proporrione. Quod crar Facienduu.
  18. Ex his licet anculorum qui fiunt in sectione inseripta ex diametri cum musta
  19. earum feementa sunt in concinua proxorsib semata expendere.
  20. Sit circuli diameter AB. Et quo
  21. niam ratio diamerri ad subtensat
  22. duplo complementi ejus anguli qui s
  23. ab inscripea es diametro, cum se
  24. ementa earum sunt in continua pro
  25. portione, est ut differentia excrema
  26. rum ad differentiam mediarum, o
  27. porcet autem differentiam extremd
  28. rum majorem esse criplo differentt
  29. mediarum. Subcendatur BC triens
  30. diamerri AB. erit isitur angulu
  31. CBA systema extremum omniuus
  32. angulorum quos oportebis eo esse ma
  33. jores.
  34. Placeat autem cum continue pro
  35. portionales sune in ratione dupla s
  36. stema adnotare. Ouonam ratio est
  37. Ut 2 ad F, numerus aurem proxim
  38. postbinarium est cernarius, ducatu.
  39. 3 in 2, funt 6, quibus addaturuni
  40. de

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 264. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0270?run=74