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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 635

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: 0.73.

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

The machine reads it as

  1. P.
  2. Egn
  3. Cucr.
  4. etam
  5. ratio.
  6. Faeio
  7. etan
  8. ulum
  9. equa
  10. TL aC
  11. TC
  12. CD
  13. 1C.
  14. ilum
  15. ent
  16. ol.
  17. EIZ P E K BOL A.
  18. PROPOSTTTO CZCI
  19. Onsticuane AB, A C quemuis a, a Per alum peunteo pun-
  20. ctum L ducantur BC, rectis aurem b, DB, a Guaies Hatsc, LC.
  21. Dico Dtif fole ad eandem hyperbolat culus alimpeotine Ab
  22. DC A Ors 17loHtIsia Lco
  23. Demonstratio.
  24. it 3eBA LL es A 9nB OWp e
  25. L. 23911
  26. a DD C. 7 24
  27. oetesque rait houp Rescovios
  28. Ct A.et ee daarit sil
  29. 123 1232FL
  30. 133B B0nC). 6033199029 5 c
  31. ei D et eiBuBorI 0ba, F De
  32. 1epe 3p HL D. VZ.L 2111
  33. Oisdenstucs an rualiin
  34. itc
  35. it 90C
  36. tans seel sup ECE A eishit. is. Buberiq ropcrirr ca3e
  37. 133iB serit C A ecEt A eri seaRHL B ect aH∞lOc1. 9. 7d 5CVZ
  38. Ehionraliiis Is. huius rect ats quatheumiquo scaioni Ayperbolicx Occnrteni
  39. cem incer alympeocos consticuram, Equales lui parres habere Comlcituras incoe
  40. alymxeoeos et sectionem, hoc est si recta BC secer hypervolam in D e F, rectas
  41. BD, FC aquales CAC InEeF (C3 IGIEUE A INECF AIYMPEOLOS ALB, H C Per panictum
  42. E descripta ponacurhyperbola, quamcum que per F. duxeris rectam BFC, necel
  43. larium est ve BG Gc aequalis, C E isicur cutu ac praxi v sirgus, reltac ve D L. L PCt
  44. cineac ad eandem hyperbolam.
  45. 5. l31
  46. onprciit
  47. aulisosgcar epir OlpcOg8 I XI OBLOXCVISSau ovis
  48. Inex AB, CD occurrane sibi mumo ad angulos rectos in B, et al-
  49. ceri illarum ponantur x quidistantes F. C. 2 sumpro denique quo-
  50. vispuncto C, in recta C B, ductisque CF, hancrectis CF xquales
  51. Dico LL, GC esschyperbolas, de quidem oppolicas.
  52. Demonstratio.
  53. S ronnehibir
  54. tl l
  55. CPonatur eidem equidistances C L quoniam
  56. quadracum CE aequale eA quadratis FB, BC;
  57. eciam FC quadratum ijidem requabicur. CA
  58. aucem, tiC quadrarum xqualc quadraco fFI,
  59. vna cum rectansulo L H C, cum (ncF F xqua-
  60. les FC: igicurcum FHI quadearum aquale sE
  61. BC quadraco, criam rectangulum P FIC qua-
  62. draco F B, hoc est C: I xequale exister exic igitur
  63. rectangulum R HIC HOc cM DIC ad DIC;
  64. rectangulum ve F B quadrarum ad F B quadrq.
  65. cum hoc est ve CI, quadrarum ad quadrarum
  66. GL. quare F F, C C hyperbolae sune e quidem
  67. oPPORCR. Duod demonctrandum tuir.
  68. et 3
  69. DOnatur CH quae aequidistet AB, Iem ex
  70. TM 1. serBeMid A SC
  71. e
  72. e rritue
  73. 17
  74. 111
  75. 1
  76. 11
  77. 1I
  78. MH. H II. BI

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 635. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0692?run=74