Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 165

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: 0.87.

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

The machine reads it as

  1. lB
  2. edi,
  3. is
  4. adep
  5. Tan
  6. 20
  7. AB
  8. M
  9. GF OM L lRIC A:
  10. 163
  11. ciem parallelepipedi L, rebalis ad balim, nempe vecompolica ex quadrupla
  12. AIN ee dupla NYO, ad composicam ex quadrupla OR ec dupla RS. REqui vE
  13. quadrupla MN cum dupla NO; ad quadruplam 9 R cum dupla R S, (C NN
  14. cum dimidia NO ad O R cum dimidia RS; eroo suporticies parallelepipedi
  15. MP, est ad superticiem parallelepipedi OT, hoc. est ad suxerticiem prramidis
  16. cubice, re MN cum dimidia NO, hoc cst ve series racionis AB ad I) F cum
  17. dimidia AB, ad OR cum dimidia RS, hoc est ad seriem rarionis AB ad CD
  18. u ea AB: quoderac demonttrandum.
  19. EROPOSITIO CLXXVII
  20. Roportionem exhibere qua cuperctes prtamtais Habet aa MM-
  21. serpea libe pslamtals cublea superticiem: eo modo incelligendo
  22. superete leriei cobica, quo in praecedenei propolicione.
  23. Constructio es demonstratio.
  24. Sumemus hoc loco prramidem isosceliam, Facilicatis Grati2. sIC C19O pyF4-
  25. LLnis OLM R N isoscelis, cnins basis sic quadratum OMI, cur prramis cubi-
  26. La AB, CD. ecc. inscripra incelligatur, Factogue quadrato OR aequali quadrato
  27. LB reperiatur linea OFI aequalis seriei racionis AB prime ad cerriam F L; ex (UpeF
  28. Juadraro OK in alcicudine CFI, Fac parallelepipedum, cuius superticies aequabi-
  29. asuperticiei prramidis cubicae. Dico verectangulum super dupla I N et L. N 2175. Ian
  30. camquam vna recta, in alcirudine LM, est ad rectangulum liper quadrupla CFI
  31. et dupla AO camquam vna recta, in alcicudine HO; lic prramidis includencis
  32. superticies, ad superticiem inclusa preamidis cubicxe. Ducatur enim ex verrico
  33. Pramidis N ad I. M normalis NP, quae ve ex datis Facile colliges, bisecat L MI
  34. in L. Icclans msu NVC.eaupium cit trianguli rectanguli L. P N. ve patel
  35. sulcm NL. M duplum elt crianguli L. MH. crxo rectanoulum sapet alplaLN,
  36. IM alcicudine L. M, eAt quadruplum crianguli L MHI, hoc cs aeguacur coci (upCrH-
  37. iet Pstumiais PrEcet balim: quare rectangulum supet dupla L.N ee L M CaM.
  38. Gllam
  39. ex cremmemis; elso recanoutum AL P, aquale est criangulo LNN. _ rectan-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 165. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0222?run=74