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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 643

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: 0.80.

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

The machine reads it as

  1. 2914.
  2. es CV
  3. 2
  4. 1
  5. N O
  6. auten
  7. ett 61
  8. S
  9. bolam
  10. rainde
  11. angu.
  12. AOC
  13. CII.
  14. tis A
  15. aequi
  16. xper
  17. qi
  18. L. XI
  19. B. VI
  20. 160.
  21. Or.
  22. ua.
  23. AYP ERB OL A.
  24. Demonstratio.
  25. Scensum est propolcione 2n2. huius GG, TY
  26. esschrperbolas, reltac igitur ve octendamus
  27. illas oppolicas esse sectiores; quoniam R E lineis
  28. aQUalES PONUNEUT F C vel FTL, X DCF Xqua-
  29. les E FT, rectanoula CFP L ae qualia sunc rectan-
  30. gulis FF. D, id eA A E B; igICHE VE A F B ad AF B
  31. rectangulum, ica est rectangulum O F Iad G F L
  32. rectangulum; oppolica isitur lunca sectiones (C,
  33. TE, cum nC AP B, _ HIH rectaelinea.
  34. PR OPOSITIO COXIV.
  35. irculum ABC concingAHE AD, CF
  36. ixquales e parallelae; coniuncta aurem
  37. DF. dividatur in FF punctis; per guae po:
  38. MAnEUF FG, que aequidictent AD. Rantq
  39. rectangulis B FC aqualia quadrara F FI.
  40. Dico HLH esse ad eandem hyperbolam.
  41. Demonstratio.
  42. DRoductis GF, AaNE FN aqualCS FHT: _
  43. Ponaneur PN _ OR, aequidistanteS DP)
  44. incelligaeur insuper duci quecunque IRV oc.
  45. currens circulo in V de Z: quoniamisieur 1O.
  46. TK, TE, proporcininles sune ex anguluS FIR Cx
  47. hypochesi rectus, lincae PZ. FR, L V b propor-
  48. cionales sune, vndle ZFV rectangulum, id ese
  49. BF C3 aequale est quadFaTO FK id cA. quadrato
  50. TK vel FP; id estirectangulo SF T vna cum
  51. quadeaco F Iid est SO, id est rectangulo B. SC:
  52. recrangula igitur BI C id est ex hypochesi, qua-
  53. deaca FHI; maiora lune reccangulis SFY id cst
  54. quadearis FP: igicur F II quadeara xqualialune
  55. quadracis F P vna cum reccangulis NVPHI, (ede
  56. FH quadraca, id est perihypochesim reccangula
  57. BF C, aqualia ostensa sunc rectangulis S F P vna
  58. cum recrangulis BS G, ablaris isitur aequalibus,
  59. nimirum quadeatis FP; de Fecrangulis SFT,
  60. manene BSO rcccingula, id est quadrata 5.
  61. vel PK, aequalia reliquis N P H recrangulis: xC-
  62. E∞6O.
  63. crangula iBitur N P H id est R M K, aequalia sunt quadracis P K id eA FTM ~ qu’ a puius
  64. re puneca HHt ad chyperbolam sunc, culus soxpolica ett NN.
  65. sel PROBOSITTO CCZV.
  66. d36. had:
  67. ins.
  68. IE A B axis parABOTL M LL, ad quem ordinaLIII pONANEUT F; C D X-
  69. Dico AD D et ad easidemhyperbolam cuius diamerer A B; d lacus
  70. raciluectum lacest recto pusab olà ate a quale.
  71. a EX
  72. Detor-
  73. quales rectis AL. L3tnag1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 643. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0700?run=74