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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 345

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: 0.89.

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The machine reads it as

  1. PROPOSTTIO CNOI
  2. ELLTPSTS.
  3. 348
  4. Scrriangulum maximum, continger recta BF. _ circulum _ ellipsim: igieur a (C- 2159. hu-
  5. micirculus AB C aequarur semiellips AP. C. Ouod erat demonstrandum.
  6. auclemiellipl.
  7. Lliplis est ad cirtu et Cmpm veeriangulum Maximum inseri.
  8. spcum semiellip l ae asulum maximum inleripeum lemicirculo
  9. Demonstralio.
  10. Vm enim se velemiellipls ad semicirculum aue lemiellipum, ica coca ellipES 2d
  11. eorum circulum aur ellipsim; erieb verriangulum maximum AF C SemieslIp (IBIgO. hu
  12. inseriprum ad criansulum maximum D P. P semicirculo auc lemiellipsi interipeum, no.
  13. ica ellipsis ad circulum ad ellipsim. Ouod erat demonstrandum.
  14. PROPOSITIO CXCII
  15. circulo vel CliplI DF F elliplim aqualem exhibere. Ft dacxe
  16. elliphreteuut aqualem.
  17. Constructio e demonstracio.
  18. Emicirculo VeL SCMTCMPU D F F inscribacur crianculum maximum D P, F, cui
  19. Aat aequale aliud quodcumque criangulum A B C, dinisaque A C bitariam in C)
  20. dueaeur B G, _ procrahatur B CF in FI, DE B C, GFT SnE aequales, _ S AC, BFI
  21. selead rectosinterlecene, describatur ellipss A B CFI cuius aXeS SInE A CBFI, A
  22. aurem non ad rectos sele interlecent, daris A C BHI coniugatis diamerris axes in-
  23. venianEuEC circa quoS deseribacur ellipsS AB C TI. Dico cMlipHM ABC FT circu. C60 huins.
  24. 10vel ellips D F F aeguari: est enim criangulum AB C maximum eorum quae se-
  25. mielliph inscribi pollune aquia A C BF ponuneux diamerri coniusacX. quare cum A2. huius.
  26. criansulum maximum semiellips inscripeum aequale sic criangulo maximo cir-
  27. 30. hu-
  28. culo vel elliphi inscripro, exic e elliplis AB C circulo vel ellips D E. F. aqualis. Cx- ins:
  29. BO quodpecebatur.
  30. Ex his secundx partis constructio et demonstrario est manifesta.
  31. Corollarium.
  32. paceaasdari eiples cleculo vel ellipu ABC aequales, qud cltalis
  33. ABC dancur insinica rriansula aequalia.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 345. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0402?run=74