Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 9

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: 0.89.

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

The machine reads it as

  1. POTLN FIA.
  2. aqualc. Ouare CD ad D A ve GD ad D A; led ett (B ad DA, ve CB 2d
  3. BA, igicur ve CB adt BA sic C, D adt D A. Ouoadisiur AB lineam produXI
  4. mus, ecc. Ouod erar faciendum.
  5. P R O POS
  6. GInE ABC ADC criangu-
  7. Lla, inaqualis alcicudinis, (u-
  8. per eadem bali AC consticu-
  9. ta; oporret ducere lineam P F,
  10. Parallelam balI AC, vE F L. ad
  11. MF datam habeac racionem
  12. TV ad XV.
  13. Constructio, es demonstratio.
  14. Onsicuancur per B & D lincae
  15. BCo, DIT paraHlela ba(I AC:
  16. _ DF quidem occureAEcriangulo ABC in F; dein AD producla, ec B C. HI.
  17. DCX OcCurraF in C, 29aTUTPeFFI, linea AFII. Occurrens BC lined in I: diuida.
  18. curque BIin R, Ve BI ad TK datam habcacrationem YV id Y LL3 _ Cx K dc-
  19. ictarur linea R A, OCCurrenS B C linex in L, cum per L ducacurlinca L L parat-
  20. selabali A C, occurrens AB C criangulo in F. et L, rectae C. D productae in F, e
  21. AD. LINCX IN NI.
  22. Dico F L ad MF datam habere rationem in TV ad VX. P F recta ocCurraE
  23. Lincae AIin N; Duoniam II AD, TICD criansula super eadem ba(I LID XinteE
  24. ealdem parallelas consticuta lunc, crunc L. F, MN linex incer le aequales: dempta
  25. isicur communi NF, vel addica M L, crunc L. N, FM, linex aequales; IgIEUE VEL L
  26. ad T, N SIC P. L est ad M F, sed F P eAt ad L. N, 1d eAt BK 2d KI ve FV ad A;
  27. IBICUEVET V ad V X, siC E. L eAt ad M F; duximus igirur lINCAM PF, Xc. Ouod
  28. crac praectandum.
  29. Idem parec euenire h dicta duo criangula, aequales hrabeane bales in directu positaS.
  30. P R O POSITIO XVII.
  31. VIE AB linea divila recunque in C, opOr-
  32. cecillirectam addere BD, VE COTa A D SIE
  33. ad AB, ve A. C est ad BD.
  34. Constructio, ex demonstratio.
  35. Elcripco Laper AB ve diametro, circulo AILB
  36. erIOREUE Cx B canGCNS F B, gux SIC edia INCCF
  37. AB _ AC; dein Cx L per F centrum circuli AIIB
  38. recta duCaEUE F C Occurrens circulo in FI, 2dda-
  39. curque linea AB quaedam BD, aequalis ips P. II. Dicotactum eAe quodpetieur.
  40. Ouoniam FTB, B D linex sunE aequaleS, CrunE FTF C BD A rectangula inter le
  41. aequalia; sed FTF; C rectangulum est aequale quadraco P B, id est ex constructione
  42. rectangulo C AB, isicur C AB, BD a rectansula sunc inter sc aequalia; quare
  43. AD est 2d AB vc AC ad BD. dacaeixicur lincae AB qanda adiCCIMUSYE, etC.
  44. Duoderac poctulatum.
  45. PR O POSITIO ZVITI.
  46. L1O XVI.
  47. Aco duabustcccts AB, CD, rectasaddere, Vel dettatiete, Mdala
  48. ratione E ad F; ve compolicae vel reliquae daram habeane racio.
  49. nem GHI ad fIL.
  50. Con-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 9. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0066?run=74