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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 637

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: 0.84.

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

The machine reads it as

  1. onttin
  2. AD
  3. AR
  4. Xqual
  5. eAe H
  6. Perbol
  7. de
  8. daurer
  9. lencin
  10. lection
  11. anluer.
  12. iamett
  13. fuera
  14. lit
  15. ilun
  16. SiMo
  17. F6.
  18. 16
  19. seid
  20. 1uE
  21. 1c0
  22. HIX P ER BOL A
  23. Dico HC puncta esse ad eandem typerbolam cuius alimprori lune
  24. AB, AD.
  25. Demonstratio.
  26. Voniam Cupponuneur linee F C,
  27. LE F, F. II Candem concinuarera-
  28. tionem, rectangula C+FTI. quadca-
  29. coCD, adeoque e incer le aqualia
  30. TunT: CA auTeM F, C+ ad R, C:; VE AB
  31. est ad A F; igicE AB HI, rectangu-
  32. la incer se quoquelune xqualia: cum
  33. exiildem rationem habeane compoti-
  34. eam, ex quibus ratio GF FI rectangu-
  35. lorum componicur. puncta, sieux H H C. ad usperbotum lunc, cuius alymprori lune in
  36. AB, AD.
  37. PROPOSII
  38. AABC, e ex puncto quouis D excra dusulum atumpro ducaneurre-
  39. etx DF, occurtentes AB in F punctis. Fianc aurem DC mediae pro-
  40. Portionales INFOF D F, DC.
  41. Dico GC esse ad eandem hyperbolam cuius cenerum est D punctum
  42. Demonstratio.
  43. DOnatuE DFL aquidistans AB, et
  44. FR, CI parallelae BC. quoniam
  45. isicur in concinua sune proporrione
  46. D F, DC, D P, crunc quoque in con-
  47. cinua analosia R F, L C, FIC, hoc est
  48. DR, DE, DHiigicurre D Tad DFI,
  49. (id CAD R ad D 1) AC K F id cA HIB
  50. 2d IC: rectangula igitur b DFIB,
  51. DFC xqualia lunE: quarc B C Cc puneta ad candem hyperbolam cuius cen- versa +o.
  52. ETUM D.
  53. PROEOSII
  54. AIrculus AB C dinisus diamCErO AC.
  55. Lhabeac BDnormalirer ad AC consti-
  56. cutas; producta vero C A, AAEVE AD C ad
  57. AD C rectangulum, ira recrangului AF. C
  58. ad A F C rectangulum, X RanCrecris BD
  59. aequales ec paralleIX F. F 21IMII
  60. Dico FF fore ad eandem hyperbolam
  61. cuius diamerer est crantuerta AC.
  62. Demonstratio.
  63. Voniam ADC ad ADC, est ve quadrac
  64. LDB ad DB quadrarums isicur eciam crit
  65. AF. C ad AF C rectangulum, ve quadracum BD
  66. ad BD, id est F F ad F L quadracum: iOieur F F
  67. est dhyperbola, ad cuius diamerrum C A F. ordi-
  68. nATII POLEX(UNE E F.
  69. Mmmm
  70. C
  71. MOnsticuantur duae linex AB, BC formantes angulum quendam
  72. du. hutue
  73. a EEa

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 637. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0694?run=74