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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 406

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: 0.86.

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The machine reads it as

  1. 106
  2. PROPOSTTIO CI
  3. ducaturq: diaineres qua Occurrens parabola in I, de A F recta
  4. Demonstratio.
  5. DRoductadiameter B D, SCCCE F F, A E lineas
  6. in L e M. Duoniam AC linca xquidictac
  7. F. F eidemque est aqualis, erie AD, dimidia
  8. rectae AC, aequalis L Fi, dimidix ipsus R Fi qua-
  9. re _ L M aequalis cAt MD, adeoque L D in M
  10. bifariam diuila: unde cum de L D in B, divisa siC
  11. non bitariam, rectangulum LMD, id est qua-
  12. dracum MD aequalc est rectangulo L BD, vna
  13. cum quadraro MB, id esta quadraco BD, id est
  14. aegnale erit rectangulo FDB. Rursum cumrE
  15. BD adTC, sicL D B rectangulum sic ad rectan-
  16. Bulum TICI, icem AD Cb rectangulum ad re-
  17. ctangulum AC C, id est rectangulum cA M F ad
  18. rectangulum AR B, igicur veL DB rectangulu
  19. ad rectangulu FT OF, SIC AMT F rectanollum est ad rectangulum A R F; Cs AUICE vE
  20. AM P. rectansulum ad rectangulit AR Rs siC L. MD rectarigulum ad rectangulum
  21. HIK C(quia exiiidem racionent Habene compolicam) igitur veL D B rectangulum
  22. ad rectangulum FTCT, (ic T. MB rectangulum est ad rectangulum FIR C+. e per-
  23. mucando ve F. DB rectangulum cu ad rectangulum LMD, sic ITCL rectangu.
  24. lum ad rectangulum FTR C:. scd L. DB. F. M D rectangula ostensa sunc xqualia,
  25. ixicur ee rectangutum HCt aquale cAt rectansulo H K C. Quod erac demon
  26. Darabolam A BC cuius diameter BD, ec ordinarim ad illam polira
  27. LAC, contingar in A linCa AF, crectaque ex C diameEO C F qua
  28. in IE.
  29. DicoHOTrectangulum xquari rectansulo HKC.
  30. buius
  31. 17
  32. B + 7. hioins
  33. Atrandum.
  34. d+L.htonto
  35. soleprb
  36. DAR ABOL
  37. contingenti A F. OcCurraL in P, perticiatur parallelogrammum AC F.
  38. pressionibus.
  39. T+O CIV.
  40. CO contingane in A d C MICa HL, C E convenientes in F. ducta
  41. que AC, ponacur ordinarim B e que P. C, A C lincis occurrat in F, X HI.
  42. Dico HB quadrari dimillio aeguale esserectansulum FB, L16.
  43. Demonstratio.
  44. PR OP O S.
  45. DArabolam ABC cujus diameter A D ee ordinatim ad illam pOTIFA
  46. 1. L
  47. nales sunt, _ B HIdiffererie ponieur equalis
  48. L R. Eccta G FL, TTB CBL quoq; provortio.
  49. nalessune, adcoque B FT quadraco aequale
  50. rectangulum I B, TIC. Rursum scum AI
  51. in FACPrOPerea FTK in E divisa sic bita-
  52. SaTUT ex C diameter CF; occurrens
  53. 228. hloius.
  54. BClince in K. Aacgue e B a quals AI
  55. Duomamiduut . Bd CrBlopo
  56. re L B, HC rectangulum dimidium cltella a LB, HI C, adeotue e xquale
  57. suadrari HB. Sub ta .
  58. riam, ex FT B linexe xequalis ponatur RL, crir de L B reliqua in F divisa Bitariam; qua
  59. o
  60. RC

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 406. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0463?run=74