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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 425

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. P AR ABO L A.
  2. PROPOSITIO CXLVII
  3. Ine dux parabola AB C, DC E ad cundem aremCOnILIEuCE, et ABC
  4. Dparabola lacusrectum; minus (ic latere recto parabola DC L, nec
  5. Sicb parabolas AlaS CONCUITTEFC. Op Ortet durem punctum concurlus
  6. allignare.
  7. Constructio es demonstratio.
  8. TE A C latus rectum parabolx ABC, et DFT 12 -
  9. cus rectum parabole DCB, linea AD adiiciacur
  10. quedam DF, VE A E sE ad F D, SCUFET D est ad A C.
  11. _ ex F ordinacim POnAEUE F C occurrens parabolX
  12. DCF in C: dico illud esse punctum incerlectionis.
  13. Duoniam est ve FID ad AC, sIC AF ad FD crie
  14. FID F rectangulo, aequale rectargulum G AF. sed
  15. HIDF rectangulo aequale est aquadeatum FC; situr
  16. ee C AF rectangulo aequale quoque est quadracum
  17. FC. unde punctum C est 2d parab0la5 ABC, DC F.
  18. exhibuimus erzo punctum concurtus.
  19. AP ROEOSITIOACXEVIII
  20. AbeanEparaBOla AB C, D B F communem aXeM AL, a MlLICeS
  21. Opolcent aurem carum incerlectionum puncta exhibere.
  22. Construc es demonstratio.
  23. IE ABC parabole racus rectum A HI, _ DBP2-
  24. rabolxe latrectu P D; SececurquC AD in F,
  25. veHIAFrectarigulo aequale sic rectansulum FDFo
  26. _ PEF F OrdinatIm PONAEUE F B, OCCUErenS Para
  27. bola AB C in B. dico B punctum esse incerlectio-
  28. nis. cum enim EB in ABC parabola ordinarim
  29. ducta sic ad axem A D, F A HI rectangulum xqua-
  30. le cAquadrato FB. sed F AHIroctangulum equa-
  31. leponitur rectangulo FD F; quadracum igieur F B
  32. aequale quoque est rectangulo FD F, quare FB
  33. ordinarim applicaca est a F D axem; in parabola DB: adeoque pustetum B veti:
  34. que parabole est commune. exhibuimus igitur; ecc. Ouod cractaciendumo
  35. PROPOSITIO CXLIZ.
  36. Vine dux parabole ABC, BDC inxquates, tavences commune
  37. actam AF, qua udemaxis sic parabola ABC, dlameter vero
  38. parabole BDC: lecenique se in B e C punctis, oporcet illa extribere.
  39. in
  40. VerEex A communis TIE.
  41. LBATOS A,.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 425. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0482?run=74