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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 485

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: 0.77.

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

The machine reads it as

  1. ver.
  2. s
  3. um
  4. IKB,
  5. A
  6. u
  7. jeno
  8. olas
  9. D. (IC
  10. uN.
  11. _P.
  12. 30.
  13. TR
  14. 50-
  15. Y
  16. D
  17. L
  18. 2d
  19. IIa
  20. nO.
  21. r0-
  22. di
  23. 21.
  24. OF.
  25. la
  26. a
  27. eit
  28. P AR ABO L A
  29. Demonstratio.
  30. Ccuctal a B I, ParabOIX AF. C in K, e AD
  31. in T, cumigicur AC bitariam in P, Sic divila.
  32. et C D aequidister BI, crit ec A D quoqueinL bi-
  33. tariam dinila ecordinacim ad L K diameerue posi-
  34. ta: quia vero A C normalis ad CD, verique para-
  35. bole estcommunis, erie A B C parabola ad serinens
  36. tum AE D, aveB Iad I. K, (cumracionem habeane
  37. bcompolicam exracione D Tad L R, 8 A C ad AC)
  38. sedve BI ad PR, SC CF ad F H, GuaL K CH da1
  39. AL D rectanontum ad rectangulum A FL D. SL VE ATC ad AF C, rectanoulum. huusi
  40. isitur re L C+ ad F II, sic ABC parabola eA ad legmencu AF. D. Guod crac de-
  41. onstrandum.
  42. PROPOSIFIC
  43. Ic ad ABC Pataveae BB, Oraam POSica A C, contingens
  44. cidc
  45. 1.
  46. DVeroBE, qua CIECLR CK C ATAMETLO OCCHITTALII L POLITA, AUTeI A P.
  47. ua dxemlecerm l: e parabolam in Ci, per A, L, C parabola delcriba
  48. cur, habensapicem in F, ponacurque ordinacim. CtI, Occlerens axiBD
  49. N I.
  50. Dico FLB O parabolam ad parabolam AF C duplicaram habere r2
  51. cionem +16 2d AC.
  52. Demonstratio.
  53. Voniam EB, A C aquidictane, ve AF ad
  54. LFF AC F D etC ad F B, e F B ad AD: Se d
  55. AF,F L XQUalES (UnE, XQUANEUFIGIEuF F B, AD.
  56. ec B Et D: quia retb dP F dupla cA CF, id cAt
  57. BIcupla IF, eric L F B dupla GI; vnde tOL2
  58. TIC aequalis elt F B, id est AD dimidio re.
  59. etx AC; guate deBIadBF, id cA FD, hc
  60. FIC est ad AC, est aucem rario parabolx HIBC
  61. ad AFC parabolam composica exrarione c BI
  62. C 261. DM
  63. ad FD, _ HG ad AC: igirur ratio parabolx FIBC adparabolam AF C M.
  64. caca est, II C ad AC. Quoderac demonstrandum.
  65. PROPOSITIO CCLXXIX.
  66. IIdem Policis.
  67. L Dico ABC parabolam, octuplam esse parabola IIBC.
  68. Demonstratio.
  69. Voniam AD, TTC linex aequales sunc octenta, e BD quadrupla ipsius BF
  70. Le criangulum AB C octuplum esterianguli HIBC, sed AB C parabola est ad
  71. parabolam HBC, ve AB C criangulum ad criangulum FIB C; octupla isitur est CEx ele-
  72. parabola ABC, parabola FIB C. Quoderar demonstrandum.
  73. PROPOSITIO CCLZKZ.
  74. mentis.
  75. CInE ABC, Be parabolarum, axeS BC, LF, diuisoque BC vecun-
  76. que in Mluidatur _ F. P proporrionalicer in B, ponanturq; ordi-
  77. nacim (IO, TK.
  78. Dico C. B H parabolam esse ad pacabolam LFHC, ve AB C parabota
  79. est ad parabolam DFF.
  80. eP
  81. dr
  82. Ba
  83. Lcibim
  84. Wnstteesnntonto1s1819
  85. p us i sa os

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 485. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0542?run=74