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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 481

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: 0.83.

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

The machine reads it as

  1. rales.
  2. CD
  3. BC
  4. Iu
  5. E. eI
  6. BLe
  7. le de
  8. einue
  9. AI
  10. AD
  11. 1ab.
  12. 1C0.
  13. inet
  14. AF,
  15. eatio
  16. elt
  17. ilum
  18. b0
  19. BC
  20. FC
  21. E A R A B O L. A.
  22. PROPOSITIO CCLXXIIL.
  23. Ine denuo proportionales AE, AF, AD, _ AF aequalis latexI FectO
  24. diamerri AD, ee iuagantur AB, AC.
  25. Dicolesmencum AB ese ad segmentum AC ve quadrarum AB ad
  26. quadracum AC.
  27. Demonstratio.
  28. Fomeneum AB est ad Termeneum A C a in eriplica-
  29. caracione EB ad D C, id est serruplicata F B ad F C
  30. cum F B, F G, D C proportionales sint: Ced AB, qua-
  31. dratum ad quadrarum A C racionem habecb sexcuplica-
  32. tam linea E, B ad F G igicur re quadracum AB ad qua-
  33. deacum AC, AC AB segmentum ad serMEnEUM AC.
  34. Duod erat demonstrandum.
  35. PROPOSITIO CCLXXIV.
  36. Arabolam ABC cuius diamerer AD, contingat in A linca A F;
  37. deinper A describatur parabola F A G cuinS A F SEdiamerer & con-
  38. tingens AD, dueacurque in ABC parabola ordinarim linea GC, Oc-
  39. currens F A C ParabOla in G, IUINganCUTG AC, AC.
  40. Dicoleemoncum AC esse ad lesmenrum ABC, re BD linea ad li-
  41. nEaM DC.
  42. Demonstratio
  43. Rigatur ex O linea G F parallela contingenri AD. cric igitur legmentum L
  44. ad esegmentum AB C, ve F A C criangulum id est criangulum C: D A, da Ca
  45. gulum DAC; sed GD est ad D C, ve CD A criangulum ad criangulum D A C o
  46. legmencum igitur RC est ad segmenrum AC, v Ve Au MIICaI C. 104250. Mns
  47. erax demonttrandum.
  48. F
  49. 40
  50. Scholion.
  51. rbet hoc loco propositionem ducentesimam sexacesimam seprimam huius, secundum pro-
  52. porriones quasdam arichmeticas contemplari, nimirum quae linearum. srum
  53. tam convexorum quam concauorum arithmetica sol progre (sio, siue incrementum.
  54. Sit AB C parabolae diameter AD, ex contingens AF: quà divisâ inquorcunque parles
  55. aequales punctis F, C. TI demirtantur diamerri FB, C I, TIK, F. C occurrentes paraodla in
  56. B, B X, C: ex quibus ordinatem p onantur BL, IN K N, C. D. an L327
  57. +
  58. iun.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 481. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0538?run=74