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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 759

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: 0.88.

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

The machine reads it as

  1. HIIIHII
  2. IN PL A N Y M
  3. PROPOSITIO LXX. YI.
  4. DOlicis iiidem circulis e se-
  5. smentis velupra, ductile
  6. C.C, DD parabolis, sIC AF
  7. mulciplicarum in F. B aequale
  8. CE in FD.
  9. Dico C A ductum in E. D
  10. corpus proterre aequale illi
  11. quod orieur ex AF ducto in
  12. DB.
  13. Dem
  14. LA E in E. D, vna cum AF in DB aqUabIEE C A in F D, vna cum AF. in
  15. F. D; ablaco igitur communi AF in F. D remanebit C A in F D ductum, aqua
  16. lc AF duco in D P, quod fuic demonstrandum. Vera Guee est propolicio s DD
  17. ParabOla COnEINGAEFeCtAIM F. F.
  18. P R O P O StT1O
  19. TIrculum CF, cuius diamerer A A continsac linca D Da Guantans
  20. ec aqualis diaerro AA, ponaeur aucem d AB Patabola cransiens
  21. per D punctum contactus. Ducancurq intinica D C. B A F, normales ad
  22. Dieo planum Db duetum in AB planum masnirudinem extibere
  23. xqualem illi quae emersir ex C B ducto in BF.
  24. Demonstratio.
  25. InCX D A, C A, BA MMIIIC L PEC
  26. Voniam cOrpUS exductu A F. in F. B Pax illi pOnituE quOdOTICLIEEx CE IN L. L,
  27. il5
  28. XXV II
  29. deaco AB. sed A C guadratum a-
  30. quale est quadraco AB vna cum re-
  31. ctangulo CBF; igicur CBF, rC- B
  32. ccangulum vnâ cum quadesco AB
  33. aQUaTUE A B D rectangulo vna cum
  34. quadraco AB; dempro isirur com
  35. muniquadraro AB, MANCE DBL
  36. rectangulo aequale rectansulum
  37. CBF; acque ita omnia rectangula
  38. CBF aqualia lune rectangulis om
  39. nibus DB A. unde cum alcitudo A A
  40. sc communis, D B ductum in AB. D
  41. aequale est CB ducto in BP. Quod
  42. tuie demonstrandum.
  43. ron Ga MaeCtO AA, circulu nON concuS C
  44. Ldemlecce, aucremocior a circulo ponatur, ponaneur aurem tres proporcionales
  45. D A, C A, B A, eadem manebic corporum aequacio, crieque A B ad parabolam, vri
  46. lib. de parabola octendimus. Quodverboindicaste (uHicier.
  47. dddd
  48. porrionales; igirur A C. quadra
  49. cum aquale cltectansulo LABI
  50. eA DB A rectangulo vna cum qu
  51. Corollariui

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 759. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0816?run=74