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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 533

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: 0.75.

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

The machine reads it as

  1. ae
  2. sel.
  3. al.
  4. 1
  5. lo
  6. tum
  7. Cta
  8. CuI
  9. Htes
  10. unes
  11. id1.
  12. in-
  13. 12-
  14. Une
  15. Y
  16. e-
  17. TH
  18. um
  19. itet
  20. e
  21. ee
  22. 12-
  23. ap.
  24. A.
  25. de.
  26. HI XD F R B, OL A)
  27. aequalibus acaritur plana parallela rectae = Lexhibentia communes insersectiones AC, DF,
  28. erecta deriqs. C+ II per L quae sit parattela FL, Y L aequales interse, s C I, FI L aequales fue-
  29. rint:imo e A C, D Ii bifariam dinisa in LL ex C, ex ellipses AB C, D F. F aequales ac simi-
  30. les: unde cum rectangula D L. F, A K C aequalia existant vii ex rectaneula V PZ, SR T.
  31. eriam quadrata P L, K B, de O P, R C) aequaliu erunt inter se, vt ex ijs quae libro de Ellips di
  32. eta sunt manifeste collicitur. ex consequenter eriam hyperbolae in hoc casa similes erunt habe-
  33. buntG larerakB, P. L, d R O, OPaequalibus intervallis a punctis NI, ex V distantibus, a
  34. qualla prorsus, ur in priore scemate quodiubebas sectionem axi parallelam fieriostensum est.
  35. 5 1 TIO 1V
  36. icarum sectionum ABC, PD F diameter sCBD, qua bita-
  37. riam diuisâ in G ponatul pet ( linea occuttens a BC hyperbodi.
  38. (52 (12CI
  39. Dico quod CO proopolurx uose eemte enominE.
  40. Demonstratio.
  41. urnito
  42. Ca IM L
  43. Desita ex C ordindet a CLL aet ctame-
  44. crum BD, hac HC aequalis Crl, d Cx LOF-
  45. rens CG linca in F: quoniam igicur HIC, IP.
  46. lineae in oppolicis sectionibus ad candem diame-
  47. erum ordinacim policx sunc, aequidistane h HI C.
  48. F. I adeoqne anguli CFTG, OTF XQUAHEUE.
  49. tunc ducem ansuli ad C, oppolici e IG, (I
  50. linex Guoque aequales, xqualia igitur lunc crian-
  51. sula OTIC, WHL. aHC, LI linex aequales:
  52. quia vero BC, 6D aquales sunc ex hypoches,
  53. DI quoque aequales luho: quare LF linca DrOUE
  54. hypelbolxoccurrie, b equalis est HIC: eadem
  55. tixpeldolae, e prouc CC lince occurrie: unde
  56. punctum P in PerimeliD eA Byperbolx, _CC
  57. producta oppoliex occurrielectioni in P. C uoc
  58. 21S2OMBCC Cc MI 3153C
  59. cs e
  60. Corollarium
  61. A D CLCIL.SILM IBC 1~. IBI
  62. Ine sequitur A per e punctum quo B D diameter bissecacur, alia duearur, hy-
  63. verbolis dccurrens in C _ F, _ ex C ex F, ordinarim ad diameerum BD pO-
  64. nancur CHI, D P illas, vei etiam DLS BTP eAc incer se aequales: anifectum est ex.
  65. eLAE F1 F
  66. dlinacim ponacur lL. aelliameerum BD occur-
  67. _ BHI, CIper conteractionem reliqua IIB.
  68. igltur est TF ordinACM posita, prout occurrie
  69. etac demonstrandum.
  70. 21
  71. 1et
  72. priori demonctrarione. ui mrii
  73. ingrecile:
  74. PROPOSITIO V.
  75. ciorolli go
  76. 2cerBI
  77. Adem BoSFa Roura: Si B D vria diameeroruni bilecetur in C.) V. Jnv
  78. Dicorectass pet C allaod petces in
  79. bitariam leCari.
  80. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 533. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0590?run=74