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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 511

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: 0.76.

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

The machine reads it as

  1. volis
  2. Dul.
  3. epo
  4. lettr
  5. SR.
  6. eCl
  7. t
  8. lacu
  9. rigi
  10. unI,
  11. 2.
  12. P0.
  13. vam
  14. ele.
  15. e
  16. P A R A B, O. L. L
  17. quam FB, CF. linex inter se xquales sunc, adeoque FiB quadrarum aquale qua-
  18. deaco CF, lacera quoque recea axium AD, D C aequalla lune, vndc d ParabOI fin. 8
  19. aequales.
  20. e1ZEAI
  21. eROBOSLTIOECCxEXIV
  22. IIdem politis:
  23. Dico parabolas illas nusquam conveniret vilu
  24. Domonstratio.
  25. DOnacur in parabola D E E ordinacim ad axem D G, linea
  26. GF OCCuEEEHS AB C parabole in C. quoniam igieur la-
  27. cera recca vetiulque parabolx aequalia sune, ex D e lincami-
  28. nOr AG, Foccangulum quoquelib D C a lacereillius rCCEC
  29. minus est reccangulo sub AC _ lacere recco igicur eE FC
  30. quadracum minusi est quadrato CC: de C. punccum cadic
  31. inera parabolam AB C: idem cuno de omnibus punctis ciul-
  32. dem parabola octendi pome, (parec secciones illas nulquam
  33. COnHEHIEO. B5: S. Cs et S. M c t3C1I ∞
  34. Nocentur aurem sectiones cinsmodi, parabole parallelae,
  35. hiuc alymprociex: quarum proprierares religuas, ex miram
  36. cum typerbola incer asympeocos polica, symbolilationem,
  37. occaua parre huiuslibri, extibebimus.
  38. PR OPOSITIO CCCXKZV.
  39. DArabolam A B C cuiuS AIAMCLCF AD,
  40. Sccent ex A demilla linex quorcun-
  41. que AB: quae proporrionalirer dividantur
  42. in C.
  43. Dicopuncta A, C, E esse ad parabolam.
  44. Demonstratio.
  45. Veantur pec Llinea D C. ordinarim ad dia-
  46. mecrum AD: crunc isivr D C lincE b PTO
  47. portionaliter, quoque in P divilx; _ VE DC ad
  48. DC, AICD E ad D F. PunCtaIBITUT A, E, F. cad Pa-∞)
  49. rabolam CUnE.
  50. c
  51. PROPOSITIO CLLANaI
  52. Sco ABC parabole diameter A D ad quan
  53. Lsordinarim ponacur DC; demitraeur aurem
  54. ex Alinex AB, Occurrentes C F diametro in F;
  55. quam ee acta per A contingens, secer in FI. dein
  56. per B, ordinatim ductis FB, Rac veHI F. ad H L,
  57. SIC F C 2d F(7.
  58. Dico AO, esse ad parabolam.
  59. Demonstratio.
  60. 10
  61. di
  62. Su
  63. BIVG
  64. TTF ac LLL5AC LB au LD. SCUMHIEAdIIE, SICF C+
  65. ponicur ad F C, igicur est FOad FC VeF B ad F B, vn-
  66. deo puneta A, C, C ad pacabolami (UNE.
  67. Voniam eam FB, AIL quam F A, HP parallelX
  68. Llunc. Similia sunc eriangula A F B, AHF; quare vE
  69. 8. hri v.
  70. C 119. ha
  71. d32g. ha
  72. te metoton2131213262718 9 20 22 329=34 333C7 30

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 511. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0568?run=74