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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 742

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. quorum eales lunt rectangula OFIL, Mnicudines GL, Sive TM. similicer corpori
  2. AK C quacaca HIK in le due Meribuur parallelopipeda quorum bales sunt qua-
  3. draca KH, aGualia (ve octen tapla) rectangulis basibus OFTI, alcicudines vero
  4. XN aequalesicem alclcudinibus C: L, ergo omnia parallelopipeda inscripea corpori
  5. AF C F aequancur omnibusparallelopipedis inscripeis corpori AK C. e hoc semper
  6. Cocinscc, liiam negas corpora AF C F, ARC aqualia esle, necesse est alceru alcero
  7. sic minus. POnacuF primDCOrPUS AK C eNC minus COrPOrC A F C F quancieare ali.
  8. qua, quam vocemus Z. Ouoniam liguee ex propolicione 42. huius, ductis semper
  9. pluribus ac plucibus parallelis GKHII, correctangula I. FI, IIM inCcribiposte pla-
  10. nis C F A, C AF, vepatallelopipeda quae ex corum mucuo ductu inscribuneur cor.
  11. Pori A F C F dehcianc ab ipIO COrPOTC AF C F. quancirare minori quam sic daca
  12. quancicas Z, qua poncbATuEdChCErECOrPUS AR C a COrPOrC A FCF, manifectum
  13. eAparallelopipeda inleripra corpori AF C P Fore candeni maiora corpore ARC.
  14. sed parallelopipeda inscripea corpori AF. C I xquancur, ve ostensum lupra, cocidem
  15. parallelopipedis inscripeis corpori AK C. ergo etiam parallelopipeda inCcripta cor-
  16. poti AR C, maiora sunc ipso COrPOTC AR C ParS COTO. Non isituE COrpuS ARC.
  17. minus CACOrPOTC AF C F. Eodem modo demonAraBIEuECOTPUS AF CP. non c(-
  18. Se minus COrpOrC AR C neurrum isitur alcerominus cAt. ergo neccNC CArE SInE X-
  19. qualia. Ouod erat demonstrandum.
  20. Hluiusmodi propolicionis applicationes lectori deinceps taciendas relinquam, ne
  21. iphusingenio ridear distrdere.
  22. AOEOSTTTDXIVIII
  23. emicirculum ABC Cats diameter A C concinsant in A de B, linex
  24. D AO, BD, _ BD qunem parallela ipsi AC, conveniat cum AD in
  25. Dico AD B criangulum ductum in se aequale esseplano BD AF du.
  26. D. lutigancurq acla , B.
  27. cto in planum ADBHC.
  28. monsratio.
  29. Veantur ouoccunque rectae BFOH
  30. Darallela ad cangencem BD, qua
  31. Plana
  32. ve pacet ex elemencis, recta est ad AD.
  33. Triongula AF C. AD B sunc similia, er
  34. B0 quadraca A F. Cunc ad quadraca P C, V
  35. adeaca AD ad quadeaca DB. sed
  36. quadraca AD, DB Xquantur, Cr8O dC qu3
  37. deaca AF, hoc est rectangula LF II, X
  38. quateu Gudcrabs L. Cum ixicur ceia

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 742. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0799?run=74