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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 413

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: 0.84.

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

The machine reads it as

  1. P A R A BO L A
  2. Demonstratio.
  3. BOnacur ex C ordinarim C FI. qu adtarum A C aequale
  4. est quadracis AFI, ITC: sed FI C quadeacum a quale est
  5. tectansuloTIA D (quia AD per hypochelim est de quadis 12-
  6. ceri redto) quadracumisitur AC aequale cR quadraco AHY
  7. vira cum rectanoulo H A D, id est rectanvulo A FF D, id eA
  8. rectansulo P OF; at aurem e PC I rectanoulo aquale
  9. quadracum C C, quadraca igitur AC; C C adcoque ec li-
  10. nex incer se xequaneur. Ouod erar demonstrandum.
  11. unnta si BIR O. ROSITIO CX i.
  12. oe rcil. 32cil 23lB C4
  13. SEO AB CparabOlBaris AD: eE A F linea
  14. Saequalis quarre parei lacetis recti: CCHETO F;
  15. inceruallo quouls E. L. circulus describatur oocur
  16. rens axiin F e D, Parabolae vero in B: IUInSan-.
  17. curque FB.
  18. Dico FB rectam contingere parabolam in
  19. puncto B. 5
  20. Demonstratio.
  21. i
  22. Venim nOn CONEIHSAES POnALIT Ex F contineens FC:
  23. cadecilla incer B ex A: vel vlera B. Cadac primoincer
  24. B ec A, iursaneurque BF, C F. Ouoniam FC linca
  25. est continsens; _ A F quarta pars lareris rectis linea C P
  26. aequalis est recta 2 F F, hoc est F. B. Quod ablurdum. igi-
  27. EuE E C ConcinBeNSnON CAdCE INCEF B et R. Cmiliter
  28. ostendicur F C non cadere vlera B. Ouarc F. B Cola p2-
  29. rabolam concingic. Ouod crac demonstrandum.
  30. 1e s E. CS et
  31. i
  32. 10H. PR OP OSIFIO CXZI
  33. Sco AB C patabola aris AB, ee AF
  34. Reslinca quorta pars latetis recti: CenErOF.
  35. intervallo quonis P F circulus describatur,
  36. Occurrens axiinF ee D, parabolx autem in
  37. B: _ ex B recta ducarur B C, ordinatim ad
  38. AXCMIS
  39. Dico DC lineam, dimidium esse lateris
  40. recti.
  41. Demonstratio.
  42. LF BD in semicirculo rectus; est aUTeM PeF PEX-
  43. cedenrem P B contingens, D C igicur dimidium
  44. b est laceris recti. Quo d ex ac demonstrandum.
  45. Vngancur puncta EB; BD. eric igitur angulus
  46. t te t. site e t .
  47. 115

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 413. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0470?run=74