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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 440

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. P A R A BOL H
  2. 2. I L tt. L E1e153, sC1 5. V
  3. oHCd.P O. S.F L. dC WIX. X IX.510IC
  4. ordinarim ponancur lincae CF, C f: allunspeoque in AF. puncto quouis
  5. Ci ducarur ex C ordinarim linea, Gl, lelans AB C, AD C parabolas in
  6. B _ D, aet 2 95 per Id diamerro D HI, qua AB C parabola occurratin II,
  7. aucacur per Hlordinacim lineca IIE, Sccans A F lincam in l.
  8. +Tdd IK.
  9. se at L 135. VL diroir 3 aenriliqin.
  10. Demonstratio.
  11. Acio C B ad TFT, id est C D duplicaca est
  12. acionis AC ad AI; scd AC ad AI, du.
  13. plicatam habet cacionem C D ad TK, id est
  14. TII ad IK, racio igirur OB ad CD, qua-
  15. druplicaca cslacionis IFT ad TK. Ouod erat
  16. FIO CLXZX.
  17. Dicorationem OM ad D L, quadruplicacam eAc rarionis D L. ad HE N.
  18. demonporalio.
  19. EScenim ratio OM ad D L duplicata racionis A M ad AL, id est GB ad ITP:
  20. Lid est quadruplicacarationis AC adt AL, id est L. D ad N K. Quod erac de
  21. monstratidum.
  22. deper A e B parabola B F A Cuus axiS B L, de continoens BD, ducatuE
  23. ad BD quauseama linca HC, occurrens parabolis in C, F, FI; e
  24. Demonstratio.
  25. Ectangulum CDT, eequale est
  26. La quadraco HID: Sed FI D qua-
  27. dearum aequale cA quactraro ID, id
  28. cAbrectangulo ID B, vna cumcre.
  29. ctangulo FITC; rectangulum igitur
  30. CDI, aquale est rectangulis FDC
  31. TTIC. est aurem idem GDT rectan
  32. Sulum, aquale quoque rectangulis
  33. quale rectangulo C.DIl. Suodetac dehcchaum.
  34. 35. 13 ly o2
  35. DArabolas AB C, A D C communem habences verricem, contingane
  36. in A lincx A E, AF, Secentameme parabolae in C puncto, ex quo
  37. Dico CB ad CD quadruplicacdus abere rationem cius quam habet
  38. demonstrandum.
  39. dem AD C parabolx in O.
  40. DRoducta HIDdoncc A F linex occurraE in L, demitTAnEuE ex B ex H
  41. L diameErI BMI, IE N OCCUErENTES A F. linex in MI, de N, X BMI qui-
  42. u
  43. FIC
  44. CLKXKI
  45. AtabOla ABC cuius axis B BCoMsac in B linca BE, in gua alTuM.
  46. peo quovispuncto F, demictatur ex P. diamerer F. A: descripea dein.
  47. BD, BA, E. A lineis in D, 1,C.
  48. Dico HIIC rectangulum, aequari rectansulo CDIF.
  49. 067. hurus.
  50. C5. securidi.
  51. FDC GDTE: rectangula igitUIr FDG, HIIC, aequalia sunc rectanoulis FDC.
  52. ED LF. demproisitur communi rectangulo FVEr, ManeE FTIC rectangulum X
  53. . s A e. e te (AI. Ae . . Ae 1r A 1 1. i . M u . A. t 1e. 1 u V 1 p 1 p 1 ur u u s p p ini1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 440. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0497?run=74