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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 608

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. nte.
  2. B 142. suius
  3. i
  4. 6C
  5. AI Y PE R BOL 11
  6. eROPOSITIO CALIS
  7. Ecex parabolaDPE hyperbolamveprius, de per punctum incerlectio.
  8. LniS D, agaEuT AD EI linca, Parallela alimproro B C: deinde quaeuis
  9. recta portatur LK; parallela AB occurrei D HI lineae in II, hyperbo.
  10. lae in F.
  11. Demonstratio.
  12. Eecangulum TRFT adFIRF.
  13. L compoticam habecaracionem
  14. exratione IK ad TTKS X ex rA
  15. tioHC R II ad R F. Icd raTIOHR
  16. ad FR B duplicaca cA rationis
  17. IK ad TIK. Igicur rectangulum
  18. IKII ad TIKE, rectangulum.
  19. compolicam habet racionem ex
  20. licara rarione Il ad lR: ergo extriplicaca ratto.
  21. eai
  22. dTK ad IIK: sunc enim rectansula L.LL, e FIK F incer se relinca LR, et LK.
  23. Dico LKH rectangulum ad rectangulum HIILF, criplicatam habere
  24. rationem lius, quam haber linca LIX ac LL LE.
  25. ratio
  26. ne TK ad TIK. Ouod turc demonstrandum.
  27. ad F.
  28. Gorollarii
  29. ie manifectum estrationem TK ad KF, esse criplicatam eius, quam habet
  30. l
  31. 7l
  32. PROPOSITIOCL
  33. Eperbolam AB, incer asimprocos angulum rectum continences
  34. punctum diameterponatur FIFL, Occurtens parabola inHI, ex quo de-
  35. micracur IIC aequica LF hyperbola occurrens in B: per B autem
  36. acta F B OCCUTAE PaLabOla in D. denique ex D parallela ad P. F, demir.
  37. Dico lesmencum CK B C Guacteplum esse Scgmenti BOIM.
  38. i
  39. Demonstratio.
  40. Donatur Tnx, Equidistans FP.
  41. quoniam IIC, D X aequidistan
  42. E L normalirer ad F C poG, linex
  43. ITO, DK ordinarim Polca sunead
  44. axem HK: vnde GB, GTL, RD in
  45. cconcinua luntanalogia: suncaurem
  46. e GB, IM FIC: proportioualesi la
  47. cio igicur DK ad FTC, certiX ad
  48. HIC ad TMI, id cA, TM a BC: quia cGB, TNI, HIC
  49. politam, secer in A Parabola F AD, habens axem alympEOTON FC.
  50. Cumatur aurem seomencum hyperbolicum quodcumque A I, e per L
  51. EaTUF DI, _ DK hyperbolam secerin C.
  52. EXI. de
  53. unc continux: Sed racionis DR ad FTCi, auplicata quoque eAt FaTIO FF R ad FG.
  54. parabola. id estS BC ad CK. ratioigitur BC ad CK, Quadruplicaca eAt rationis TMI ad BC
  55. Buius.
  56. tirag tov. WOal.
  57. rogression
  58. 17Mth.
  59. SEr44. 2deoque ex lexmenrum BC C. K, quadruplum eAt sesmenti IM B C. Quoderac de.
  60. la

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 608. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0665?run=74