Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 457

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. ticu.
  2. Iver
  3. 6e
  4. pUn.
  5. TI. 8
  6. OFF
  7. Oc.
  8. AV.
  9. AN.
  10. Qua-
  11. Qua-
  12. etgo
  13. cien.
  14. Sapius parabolam quad al.
  15. eR OPOSITIO CCZMHII.
  16. RECenEABC Parabolam diamerri dux aequales BD, F. F: policisque
  17. Dper D _ F, ordinarim lineis A C, C HI, iunSANEUE ABC, CEH.
  18. Dico ABC, C P H criangula esc inter le aequalia.
  19. Demonstratio.
  20. Vnctis, G, Ci PONAEuF A FT linca,
  21. quam in R de I secene demilx
  22. ex C _ C diameeri: illas aucem leL
  23. Centhrchogonalitex in L, AI, N, O
  24. reCtA AM L, IION: _ AL qui-
  25. dem occurrac BD lince in 9, FIN
  26. vero ip( P F in S; Faccisque PO.
  27. SR aequalibus, ipsS BD, F F iun-
  28. BANET APL, HTR N. quoniam
  29. isitur xqua les sune diametri BD, P. F, _ AD C, OF H ad illas ordinarim policx.
  30. iunetea CC, AHI sinc TR aequidistane: sed de CK, C Laldmerri parallele CUINC, p2. a FX CoroII
  31. rallelogrammum igicur est GC LK _ OK, C I linex aequales. est aurem vE C K ad7
  32. TC sic AK Hrectangulum ad b rectangulum A IFT, rectanBNIR ISIEUT ARIL. AL HL CEL
  33. aequalialune; ideoque e c x quales lincE AK, H I, quia vero eA vE AK ad R P, siC mencir.
  34. AM ad ML, e re HL ad TK, hC HO ad ON, isicurvE AM ad NL, ACHO
  35. adON: aequales aucem sunc linea N O M L (quia AML, HIO N orchiosongles
  36. tunc ex constructione, ad CMI, C L, aequidistantes, adeoque MO parallelogeati-
  37. mum est) rectRISITE AM, HIO, adeoque TOTA AL, HN xqualessunt: se d PO
  38. RS per constructionem aequalessune, criansula ixirur alLLCAid elt ABC,
  39. OFH aequalta sunc. Ouoderat demontrandum.
  40. Est hec Archimedis, alicer demonstraca.
  41. AItommPROPOSITIO CCLIX
  42. Ddrabolam ABC, concin-
  43. Lsenc duxguauis AD, CD
  44. conueniencesin D. Secete illas
  45. in C _ H recta quaedam LF3.
  46. coneinsens quoque parabolam
  47. in Boccurrens AF, CF diame.
  48. erisin F ee F, demictaacur au-
  49. rem ex C X HI diamerri GI,
  50. HIK, Occurrentes AC in ldR,
  51. ei sieeit 3eS
  52. Dico rectam LK,. dimidium este A C.
  53. huius
  54. 17 huin
  55. tmm
  56. lai
  57. Demon
  58. ii
  59. 11

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 457. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0514?run=74