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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 463

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: 0.81.

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

The machine reads it as

  1. ebitu
  2. : I.
  3. ehor
  4. Deigi
  5. nPa.
  6. otum
  7. anci-
  8. olum
  9. quae
  10. naius
  11. para.
  12. ilicer
  13. naio.
  14. aqul.
  15. sinC
  16. cclin.
  17. 5, d4
  18. rian.
  19. xhy.
  20. nqui
  21. cum
  22. ect
  23. iese
  24. P AR AB C
  25. L 1
  26. 463
  27. mentis, cora crianguloru tes, id cAt 2 parabola AB C, est ad criangulu ABC.
  28. primum leciettermunum, reglaluo adctta. Uoatui demonttranaM.
  29. Corollarium primum.
  30. Inc manifectum el ceransulum maximum AB C, eripsum else resattorum le-
  31. omencorum AC. B, B F C. cum enim coca parabola, ad criangulum maximum
  32. inlccCum, (IC VE quaTUIOE AdETIA; PATCEIPLII ETIAHSULUMI, EKCS GUATEASCOMEinerCPA-
  33. rabolae; adeoque er residuorum elle rriplum.
  34. Corollarium secundum.
  35. EquITIE SCCundOLESENEL AFB, BF C cNcincer se equalia: criangula enim
  36. ABD, BD C linsitca lingulorum tripla lunes e incer sc xqualia.
  37. PROPOSITIO CCXRKIS
  38. IE ad AB C parabeta diarmerrum BD, ordinatim applicata AC,
  39. Aisqueper A_ C contingentibus, qua cum diametro DD conue
  40. nianein E, ponacur per B COnTInSCNS, quX AF, C E Aneis OcCuItal in
  41. DicO FEC triangulum, maius esse dimidio ssiLa COMCAUE AFC B A1
  42. Demonsrati.
  43. matus quoque ell. Ouod erac demonstrandum.
  44. Corollarium primum.
  45. Fi X ance demonstratis Faclle deducicur criangulum F P. C, maximum ese illorum,
  46. ux inera erians lm A F. C ab alia quanis concinsence auterri poAumE.
  47. Corollarium secundum.
  48. (Equicur quoque, ABC. criangulum, duplum esse criangoli F. P. C; est enim P. D d vbid
  49. S
  50. TVnsantuE ABC. quoniam AF. parabolam
  51. concingit, e AC ordinacim ponieur ad BD,
  52. cF D, AB, C F, in B, F, C punctis bissecx SUnE:
  53. quare F B F, AB F criangula, icCM V B F, F BC;
  54. ac proinde EOTa F F C, ABP a qualia lunE. Scc
  55. AF. Bcriangulum maius est dimidio figure mixri
  56. lincx ABC F A, cum A B lacuS CadaFinETa P a-
  57. tabblam convexam, cllal clum isicur LP. C illo
  58. el.le 1
  59. delor, CsBSEIAN
  60. a 231. ha-
  61. ins.
  62. B87. De
  63. srverestoni
  64. odupla B. B. _ A C dupla F C
  65. EHOEIOSELLBML CGXXXIVop si n0n 2it123
  66. Arabolum ABC cuius diameter AD Com Co
  67. licerit. Ata ENIER B1OS SeGWIII
  68. nexoccurrarin, ma ex l alaetet sB, a pel Ponatul con-
  69. tingens, ua AF, F C lineis occurrarin H _ l.
  70. Dico criansulum A F F, quadcuplum ese crianguli HIF 1.
  71. 111 B5. 1O(75.1I P (5
  72. veniens cum diamerro in L, actaque per A contingente, qua C. F. li-
  73. Demon.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 463. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0520?run=74