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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1217

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: 0.86.

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

The machine reads it as

  1. pedum ex bali rectanguli B M O, _ altC MI R ad parallelexipedum
  2. 1217
  3. QV AD R A Y V R AI H Y BE R BIOF X.
  4. lub balircetangule LL a Commun alTudine IL I.
  5. demonstrato.
  6. DEmonstratum esta rectangulum LMN ad V R S rectangulum; quadruplica- at, 8.
  7. tam cius habere rationem, ouam ooncinet rectangulum BM O ad Y R P. rC- u
  8. ctanoulum. sune ducem paralleleppeda (ib hiscc BAHBAS d CoMMHIM MMuaIne
  9. MR incer se r Pranet baleS. Txitur Pacet propolcionis veritas.
  10. Lo1ooiio eat.
  11. Adem ROUFA manenEC:
  12. Dico rationem parallelepipeat, quoa ex balu rectangula L. MI. L
  13. ad parallelepipedum ex bals ke3 coninete collesrationem parallelepi
  14. pect super bali OM P per mulciplicarionem ad parallelexipedum (uper
  15. baliteltanguli XR T, quocies rario haec per muleiplicationem contince
  16. rationem pataltese pipet tuper bali rectangula B Mt O ad parallelepipe
  17. dum, quod sic luper ba(i Y R F. rectangula, modo eadem alcitudo omnii
  18. bus parallelepipedisin seruiat.
  19. Demonstratio.
  20. Dipedaautem, de quibusasimus, calem Corciuincur incer se racionem, quam bales
  21. rectangulares super quibus crecta lunc, quoniam alcirudinibus conneminne ex hiypo-
  22. chell. Patec idicur vericas aserrionis.
  23. DEmonstracum estbrarionem rectan an LM L ecaM VL 33. Coles 6159. dt
  24. continere permulcipliedcionem rarionem rectansun OM P ad Ll L, Guaies in
  25. hiaec racio continecrationem. BM O rectanguli ad rectangulum YR E, Patallele
  26. LAOPOSITIO CXLI
  27. X Scemaribus viiuersalibus quae incercipiuncur parallelis By, C 8
  28. sconsticuancur ordines sex Agurarum, quarum cernae inscruiane hiy-
  29. Perbola, alix vero circulo. Luma eton Patavoau Conekar
  30. dem lacio parallelepipedorur comer rarionem parallelepipedorum
  31. quae tiunc exrccanguls C in C a D in H.
  32. dinila sic parallelis qua exhibeane rectangula quaterna ABC D, e
  33. FPOTI. Secunda aurem AOUFA AIGNa LOTA LCCCA MIICa aBBAICME (ecta (IE
  34. parallelis iildem Formancibus rectangula PIEL. MI _ NOPO: Terria
  35. qua Constiruant rectansula 1E3 LV a XYZ.
  36. denique in qua cernuntur parabolx coneaux secta lic ii Idem parallelis,
  37. Dicoicaquerationem duorum patallele ecotum qua sam ex ltu
  38. X rectangulum, e ex rectangulo S in Y ad duo parallelepipeda Orea ex
  39. ductarectangulorum P in Z d t in X, cories continereracionem pa-
  40. tallelexipedorum ex lin N, de ex rectangulo IE in O, ad parallelepipe-
  41. da exductu rectanguli L. in P, ex M in 9 rectanoulam, quocies haec ea-
  42. quae signuntur ex ductu planorum A in P. ee B in F, ad parallelepipeda
  43. Demon-
  44. ae o a

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1217. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1274?run=74