Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 298

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: 0.88.

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

The machine reads it as

  1. Demonstratio.
  2. Plamerro BD coningaca d
  3. CaTUTNO, _ FHI diametre
  4. PC. Tangancurque ND, PHI
  5. Duoniam diametri P D, F FTeam
  6. in lK quam L MI proportionali.
  7. cer lunc dinila, erie rerectangulum
  8. BID ad rectangulum BL D sic
  9. FK HI, Tecangulum ad rectangu
  10. lum IM FI: quarc requadratum
  11. AI ad quadracum NL. lic qua-
  12. dearum FK ad quadracum PMt.
  13. e ii AI linca ad lincam NLsC
  14. ad FMI id est M H NItur ve criangulum NE. D ad criangulum AIL, (IC PMH
  15. criangulum ad criangulum P RM (quia ex iisdemillorum raclo componitur:) d pers
  16. mutando ve DTT D criangulum ad criangulum PM II, Sc AIL criangulum ad erian.
  17. SUlum ERM. ICdNT D, PMEI criangula Tunc aequalia, isIEUIE AIL, PR Mcrian-
  18. suta, adeojuCEOTa AC L, F: CM equancur. Quod erac demonstrandum.
  19. F CC A B C ellipsim aUa MIaIHCEEorum coniusariones AB, CD, EP,
  20. LOHI, domnes quatuor dlamerri proporrionalicer (int diurilx in l, I,
  21. M, L panictis, per qua ordinatim ducaneur linca NO, PO, RS, TV.
  22. Dicoquadraca LVO, PO simul Cumpea aequari quadraris R S, TV
  23. Cimul Cunpels.
  24. Demonstratio.
  25. Voniam eam AB, L. F, Idam CD, FTO proporciona
  26. licer sunc divisx, etA ve A B quadratum ad rectangu-
  27. lum ATB, SiC FF quadrarum ad rectangulum E L F.
  28. e quadrarum CD antectangulum CRD, _ IICqua-
  29. dracum ad rectangusum FIM C. Ex ijsdem enim racioni-
  30. buslingulae quadratorum ad rectangula proportiones co
  31. ponuncur. Pgicurve AB, C. D quadraca simul sumpea ad
  32. rectangula ATB, C RD Simul CumPCA, SIC guadEAFA F F
  33. CFT Cimul sumpea, Cum ad rectangula R I. F, IIMC P
  34. mulsumpra: ex periturando ve AB, CD quadraca ad qua-
  35. aald LF, G TT, AC ALB; CKD rectangula, Cunc ad re-
  36. etangula R L P, AIM C. hoc eA a Quadraca PR, NI ad
  37. quadrata 5L, L A. LCd AB, CD quadraris cmul Cumpris
  38. 74. huiris.
  39. FR ad PN: Sed eriam est per constructionem ve TF ad B L, id est L. D, sICRM
  40. PROPOSITTO CV.
  41. b77. hujus. B Xquali2 TUnE quadrAEL F F. CFF Snul sumpea; igicur de quadracis NY, P F X9V2-
  42. lia lune quadrata S L, TMI: ergO NO, P O quadraca simul sumpea xqualia sunE
  43. quactacto dRitV. uda latcema.
  44. i u e e e e e e e e ete e e e t e a te tete ae e t te ut ete e e e es s e e t te e t. e pe 1 e1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 298. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0355?run=74