Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 272

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. ESF V DO. M F SOL A B Y M.
  2. Tacadirua.
  3. in proposica serie quatuor conrinue proporcionalium. sit data disferencia mediarum 6, extrema
  4. rum r9. et oporteat invenire concinue proporcionales. Duo sunt isicur similia triansula FCH C
  5. in quorum primo dacur dupla C. E. nempe disferentia mediarum 6, es dupla F. H 7. differentia Mtet
  6. T9 e dupiam 6. Ouare fir dupla C H V 13. Intriangulo vero C C. F datur duplum lateris = 6G
  7. plusporest disserentia extremarum differentia mediarum, seu adgregarum extremarum aderesa
  8. mediarum. Fiet igiturHE H C V 13 ad FC N 325, id estuc V 2 ad V 25 seu 2 ad 5, i a C L
  9. CC30, e ita CH7 ad FC 35. Est igicur z0 summa mediarum. cui addica disserentia ca
  10. facit 36 duplam majorem mediarum, rel ablata 24, duplam minorem mediarum. SE que est 3.
  11. summa extremarum, cui addita differentia earum 19, facit 54, duplam majorem extremariim
  12. ablaca 16, duplam minorem. Acque adeo series proporsionalium quaesita est A F 27, LCt
  13. ED 12, E B8.
  14. legmentaunius in continua proportione inter mutua segmenta diameti
  15. leomenta dus epaa PFoPotione intermutua lesmem
  16. ca diamec hOn ctuL.
  17. PROPOSFFTO ZXI
  18. St dux inscripex circulo ina quales parallelae diamerrum secene, e lin
  19. CAculi enim cujus A centrum, diametrum BC secent in D, E, inseriprae parallela ina
  20. quales F C, HII, ec seomenta FD. D C sinr conrinue proporcionalia incer BD. DC.
  21. Co leomenra HLE, E. lnon Fore conrinue proporrionalia inter BF, F. C. Moat
  22. FD. D C sunc in concinua proporrione et. DC, 1deo cum lecabitur perpendic
  23. laTICeK FC Per Farecta LL occurrenre ipli C B in H. Esic K B ipsI F C aequalis. Ipla ali
  24. rem R F lecer HL LM L, L Per GaBatUTG Mip A F L. paralleta, SeCAnS FI Fin VI. FrIE 3
  25. TUTL. M iphI LC aqualis. Sed _HL, MI erunc aGuateS. P’eF H veto asatu ip (1 L
  26. parallela HIO. Mleleu, led hitieri poltir, seomenta HIF, F. I Cunc in concinua propou
  27. neinter BE, L. C, erit O B aequalis ip l FI I. Erat aurem K B aequalis ip( FC seu L. 2
  28. Ouarc K ericaequalis compolicae e duabus H L, M I, id eAt duplx HI L. Fs aucem
  29. DH AlHL, itA F. K ad EL. Ouare F K erie dupla F. L. Hoc aurem est ab lurdum. 1
  30. OpOrtel EK quae compolica eAprima, Secunda, ec rerita Cc majorem cripta L. L. 10
  31. Plcudo. melolabi expolitio.
  32. Nrarun cis F aduvaror est methodus demonstrandibene MathCMAEI

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 272. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0278?run=74