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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 467

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: 0.78.

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

The machine reads it as

  1. t
  2. 103-
  3. c d
  4. dem
  5. eri.
  6. a
  7. 10-
  8. md
  9. ter.
  10. Cxi.
  11. Olas
  12. qua
  13. un
  14. 2t
  15. 40
  16. 6
  17. BC
  18. P A R A BO L. A.
  19. PROPOSITTO CCKLI.
  20. DArabolam AB C secent dux quaenis parallelae AC, D F.. 1 (ie.
  21. Dico A. BC parabolam ad D B F. parabolam esse in criplieata ra-
  22. tiOnC AC adDF.
  23. Demonstratio.
  24. SOd CameteE BF ad quam ordinacim
  25. DOLICA (INE AC, LF. ParabOla ABC ad
  26. DBF Parabolam eam habectarionem, quam
  27. eriansulum sub A C _ B F ad eriangulum (ub
  28. DE. eE B C: Sed raciorrianguli sub A C _ BF,
  29. ad criangulu sib D F _x B G est eriplicaca ra- D
  30. tionis AC ad D F, quia compolica ex ratione
  31. AC ad DL, de BF 2d BG, hocEs ex dupli-rG e
  32. cata racione AC ad D P; isicut AB C parabola est ad parabolam D BB I cripli-.
  33. caca rarione AC ad D L. Guod tuie demonstrandum. il tir. A.
  34. P R O P OS ITIO NCCXLVI.
  35. DAcabolam AB C contingat in B linca FB, COnuEmCHS CUM alaHIC
  36. ETO quacUnque AE in F, iunsaNEuLQ AB.
  37. Dico fguram concauam BF A L B, duplam esse conuexa BF ACB.
  38. en Demonstratio.
  39. DOnacur ex B, ordinacim A C ad diametrum
  40. A D. OuOnIaM BR CAt COLIHSCHS, CTIE AD,
  41. AP linca aequales, adeoque ABD, ABF
  42. criangula aequalia: est aurem AB D criangu-
  43. lum criplum c segmenti BF ACB, igItUF ec
  44. criansulu A B P eriplum eA Ccomenci BF AC+B.
  45. relidua isicur Agura Concaua BF AF B dupla
  46. CA CONLEKX BE A C B. Ouod crac demon-
  47. strandum.
  48. PR OPOSITIO,
  49. Incad ABC parabolx diamerrum AD, ordinac polIcX DC, GB:
  50. unctisq; AB, eC ponatur per A ae quidistans ipli l C, Oecurrensere-
  51. Atis et B ex C, diamerris in F _ F.
  52. Dico esle M ABF criangulum ad criangulum AIC L due ABC ad
  53. AC D criangulum, SIC AFIB F A figura concaua ad figuram AFL C L. A
  54. Demonstratio.
  55. E
  56. II
  57. TT ABC eriansutum a tatrgulum ACD, CC
  58. AHIBlegmencum dadlesmcit LBC, tell
  59. ra ad HSuram BC BCunc ATIBF duplum CIC
  60. (eomenei AHIB, X AB CP duplum ABC; igitur
  61. ve criangulum ABC ad ACD criangulum, sC
  62. AHBF figura ad figuram ABCF. Ouod eratde
  63. ohAtrandum.
  64. VE ATIB ad ABC segmentum, (IC AHTBF figU.
  65. Nn
  66. D EX
  67. hains
  68. ecor
  69. 2
  70. n
  71. ha
  72. 2. ha-
  73. i
  74. ni

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 467. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0524?run=74