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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 468

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. e A R ABO
  2. Corollarium.
  3. AdeM POLTRABUFa SequitIF eNe vEC F parallelogrammum ad para lleloorammum
  4. IE, hc A C, B parabolam ad pacabolam AD C: icem convexum AHB F ad
  5. convexum ABC F.
  6. A C: ducaNEUTGUCCMaLIIM BF, CD.
  7. PROPOSITIO CCXLIV
  8. DArabolam ABC cuius diamerer A C Secen vecun que linCX AP,
  9. Dico spacium parabolicum F. BL. D, quadruplum esse spacii C ABC
  10. Demonstratio.
  11. Voniami parabola D A BC quadrupla est a segmenti ABC
  12. CF AB parabeta qladrupla segmeci A B, parabOIAD ABC
  13. est ad leomencum ABC re F. A B parabola ad segmencum AB.
  14. isicur cum parabola D ABC ad ABC, corum ad eocum siE
  15. VE B AB ablacum ad ablacum AB, eri religuu E BCD, 2d
  16. reliquum AC. B A, bE D ABC corum ad cocum ABC: quare
  17. EBCD figura, quadrupla est figurx lineis AC, AB d Para.
  18. bolica BC concelsea. Quoderur demonstrandum.
  19. P R OPOSTTIO CCXLV.
  20. TOntingat AB C parabolam liIed quae cunque AD conveniens cum
  21. mecris quibuluis DC, lBIn D _ F. IUNGANEUEGUE AF, AC.
  22. Dico concauum E. DCGF duplum
  23. CNTEpaTtIS AFC C, linCIS AF, AC COn
  24. TCHEX.
  25. Demonstratio.
  26. Oncauum ABCD A b duplum est Para-
  27. bolX ABC: _ concauUM AB Fi F A du-
  28. plum cs seomenti ABF; igitur residuum
  29. F. DCCF duplum cAt rCsdui AF C C A.
  30. Ouodcrac demonstrandum.
  31. eROPOSITIO CCXLVL.
  32. DArabolam AB C suBendar linca AC, qua divila in D _E F, vi
  33. AD, AF, a C commue propales sinE, erigantur diametri DB.
  34. L. I, C F. e peL DLLLPHHCLA Cx A RECFR PONANEUE AG, A F SCCANECS C F
  35. diametrum in F _ C7.
  36. Dico F LCC ad spatium quadrilarerum Bl eriplicatam habere ratio-
  37. nem AC ad AF.
  38. lincis AB, AC et parabolica BC concenti.
  39. demonstratio.
  40. EX COrO
  41. b242. Bu-
  42. Voniam AD, A F, AC Bonuneur continue proportionales, NE C A ad FA,
  43. cI. DCprO. LACC CF, 2d F. D. Ccd ve CF ad B D, liCC elt ad 6f; igieur ve C A2d A
  44. cressionibus. (C C C+ 2d CrF: visc CaI CA C de C HF ATAHSMIAII, CMM CL uu
  45. ADC da IC LA ad L IC L ad HII: est aurem AF
  46. . lale itlolta

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 468. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0525?run=74