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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 267

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. CAt
  2. LLIDSIS
  3. ROPOSETIO XLIV
  4. Llipsima ABC Secet diameter BD, ad quam ordinatim pOSICa BIE
  5. AE. C: jutictis AB, CB inscribatur LGho AFB triangulum
  6. axIuAFB, e ex FPonacur F C; Parallela A C, iungancurque B G, C.
  7. Dico BCC criangulum esse maximunt corum qua seomento BO C
  8. etor poctum, de ata, aico f. li elle paralle-
  9. tam ad AC.
  10. Demonstratio
  11. DVoniam = PFI G I linex lunc aquales, criangula FBH, GBL eandem haben
  12. Lcia alcicudinem, ae qualia erunc. Similicer criansula F A FI, CTC incer paralle-
  13. laS F G, AC consticura crune xqualia ac proinde a quabuncurcora riangula B F A,
  14. BOC: S isicur BC C non sic maximum, ponatur aliud BP C, maius criangulo
  15. BOC, e ex L ducacur L. M aequidistans AC, cririsiturre priuscriansulum BL. C.
  16. aequale criangulo AMB, adeoque ec AM B criangulum, maius criansulo BCC
  17. id ek AF B, quod est concra supposicum, cu B F A maximum ponacursgitur B GC
  18. criangulum maximum est eoru quxe segmento B C. C inscribi posunc. quod erac pri-
  19. mum. sinc deinde exiangula BF A, BC C. maximque demonstrabimus iunctam LiC
  20. parallelam eAe AC. E enim non est parallela, sc alia lupra vel intra iplam F C P2-
  21. callela ad AC, nimirum recta F L: iungancurque BL, CI. ergoper primam par-
  22. cem huius criangulum BL C eriemaximum, quod heri non porest cum LCC ex
  23. hypochesi siemaximum. Non igicur F L, aur alia vIla praecer FC est parallela ad AC.
  24. Ouoderat secundo loco demonttrandum.
  25. 226. hulus.
  26. Corouarui permum.
  27. Ine lequieur si erianoula BF A, B C C maxima Cnc eorum gua segmentis inseri-
  28. Apipostune, esse aequalia. Nam per secuman palcemuuas ee en parallela ad
  29. AC. Vndeb FHI, CI aequateslun, de proinde eriansula liBL, BLCr, _ F AR, 1bid.
  30. BC acebs de tota BL A, BC C. equalia lune.
  31. Corol

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 267. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0324?run=74