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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 583

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: 0.82.

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

The machine reads it as

  1. u.
  2. rali
  3. Deseementis hyperboliers, conuexis s concanis.
  4. PROPOSTTI
  5. Rea lyperbolae terminacie, criangulum maximum inlexibere.
  6. Constructio es demonstratio.
  7. crum D, cerminetur rectâ
  8. AC; qua divisa bitariam
  9. in B, Ponatur diaeTer DF., Oc.
  10. currens sectioni in B. de iunsantur
  11. AB, C B, dico crianoulum ABC.
  12. cnemaximum illorum, que hyper-
  13. bola AB C inscribi postunE. Pona-
  14. cur per B concingens F. B. 2 aequi-
  15. dictabit illa rectae AC: ducatuE
  16. dein quaenis H C, paraIlela BF,
  17. occurrens lectioni in G. Pacec C punctum esse infra lineam EB, adeoque, GFI
  18. minorem B F. vndecriangulum AC: C minus est criangulo A BC: crionpulum igi-
  19. cuT AB C maximum cA. daca isicur hyperbolx terminaca, etc. Quoderactacien.
  20. dum.
  21. IIdempositis:
  22. P R OP OSIFIO CTI
  23. LDico ABC criangulum maiusesle dimidio tesmenei AB C.
  24. Demonstratio.
  25. GRiBEnEUE Ex A de C Eguidistantes BF, OCCUTeNEES FB concingenti in F e
  26. K. quoniam isicur ram AB C triarigulum, quam b F. P. parallelogeammum, du- menin.
  27. Excle
  28. plum est crianguli AB F sequalia lunc parallelogrammum F F, de criangulum ABC
  29. vndo J.C parallelogrammum duplum est crianguli AB C: sed F C parallelo-
  30. sxammum maius est segmento AB C, (cum F K contingens tora cadat extra lectio-
  31. nem,) criangulum isicut AB C. dimidium parallelogrammi F C, maius quoque est
  32. dimidio lesmenti ABC. QuodCtat demonctrandum.
  33. Cdronarium.
  34. 1
  35. Zperbola ABC, cuius con-
  36. Inc exparecracio ntcribendi ctianoulum cuiuis segmenco hyperbolico, quod
  37. licatis; consticuendo scilicer rectani aliquam OHI, qua ad BF, datam rationem
  38. obcineat; si enim ad C deducancur rectae AC, C C, criangulum AC C ad AB C,
  39. elt in racione linca 6FI. 3d BP: cum bales sINECOMMUHCS.
  40. Sct. F 5. L1 53 CBL S. 3CMI
  41. 2A. I Bupou el
  42. Eil arspis
  43. aan. Cdi 1244C4
  44. damaia ccaticlum lletcu dalatutabene cachilela talhotis inaequa
  45. stcP
  46. 11II

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 583. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0640?run=74