Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 808

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: 0.75.

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

The machine reads it as

  1. 8
  2. DVCTVS PL ANL
  3. PROPOSTTIO CFZXIV.
  4. Acti(que AB, DC
  5. nacur quaeuis P P autanS B C.3 potird de
  6. IEL, deniqueper A, I, B, puncta parabola describacur, habens apicem
  7. A L.
  8. Dico MS ductum in alcicudinem TX, aequari YV in V Z.
  9. NIrculum ABC, lecent aequales dux parallelae linex AB, DC, ium.
  10. inde GIIHI dianelto, parasera D, nac des alLLL, HCACi ad
  11. Smonstratio.
  12. BOnAnEBE inENICA MS F YV X, parallelae C FL. Ouoniam est VE HTK ad KL
  13. AC K C ad R F, rectangutum FTK L, aequacur FK C rectanguto. quia verO AL D
  14. 17. parab. Parabola CA, YE= P. R ad SP, sIC A RD rectangulum estad rectangului A FD:
  15. sed ve L. K ad SF, sic quoque est P R HI rectangulum ad rectangulum S I X, igi-
  16. CUF DE A KD ad A FD rectangulum, id CA vE C K IadM FV, SICL R HI ad S T X,
  17. _E PermuTandOVE CRI ad L KHI, siC M T V ad S YX: Sod L RTF rectangulum
  18. aequale ostensum est rectangulo GKI; isitur _ ST X rectangula aequalia lune re-
  19. ctangulis MXV, quare vE MI ad ST, sCTZ ad TV, e converrendo ve
  20. MF id CA YV, ad MIS, SIC TX ad V X: vnde YV X rectangula aequalia sunE
  21. b46. huius. rectangulis M S F X, plauum b igicur M S ductum in alcirudinem FX, Xquacur
  22. ZV in YX. Ouod crac demonstrandum.
  23. 31E.t es v
  24. PR OPOSIIEIOECLZZI
  25. eu
  26. ste
  27. VIE ABCD rhomboides, includens circuluM P F C quem in pun-
  28. Dctiscribus F, F, Ccontingat: Factis auter proporcionalibus AB, A F,
  29. AI: C D, CC, CH delcribatur per L, F, R parabola cuius diamerer sIc
  30. F HI parallela AB.
  31. DicoEorpus orcum ex ductu P. Nin LO aequari magnicudini que ori-
  32. cur ex ductu L. M in alticudinetm F II. q 2
  33. S.l1 .t
  34. ced ee cd
  35. 5. B2 1 CL 21135IB 3CPS
  36. iCrLHA
  37. 1 id c0 cm l 1ti20 B011
  38. .
  39. (..t (CAIB C LaES
  40. Demon-
  41. agulic C

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 808. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0865?run=74