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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 466

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: 0.79.

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

The machine reads it as

  1. P AR A BOF
  2. 3
  3. l.
  4. Conslio e demonstratio. erclitoaen
  5. DE ABC seomencum datim: duet aque diatiecto AD
  6. ponatur ordinauum C D, agatur que per A ipR CD.
  7. aequidistans A F, ocCurrens crectae ex C diametro in B:
  8. cum F C dinila in F VE F C quaEEA ParS SIE F C, duca-
  9. EUIFEK A Pet F linea RGOCCurrenS CD in C. dico
  10. EA C trianoulum xquale eNe daco seomonto AB C.
  11. Duoniam AEs C O linex aequidistane, vE C F ad1 FP.
  12. sc OC est ad F A: Sed C F cerria pats eAt F R; ipieur
  13. CC, cerria pars est P A hoc est CD. OuarE _
  14. CAC triangulum certia pars est crianguli C AD: est
  15. aurem ABC scomencum aequalecerriea parci crianguli
  16. CAD. iBIC d A C crianigulo est aquale: datoisi.
  17. 1
  18. praxi solui problema quo pecteu cu parabola, criansulum xquale extuberi–
  19. R O P OS+ L+ O sCCX F 10C 5i.
  20. 11
  21. d et Et
  22. Darabolae terminaix cam
  23. incer se Portiuneur ratio
  24. nem quam criangula maxima
  25. illis inseripea. El A R cns:
  26. Demonstratio.
  27. Ine ABC, FFC parabolis teF-
  28. minacis criangula maxima interi-
  29. Dea ABC, F. FC. dico parabolaS
  30. illam incer se habere racionem qua
  31. criangula ivaxima. Triangulum
  32. b AB C est ad AB C, pacabolam
  33. verria ad quaruor: triangulu quo-
  34. que P F G est ad parabolam F. PC,
  35. vecria ad quatuor; igicuE VE ABC
  36. criangulum ad parabolam ABC.
  37. siC F. F Ccriangulum ad parabolam
  38. EDC, _ permurando vE AB C crianeium ad criangulum L. FC, sIC AB C paca.
  39. eROPOSLTIO COKZXIZ.
  40. Ato scgmenco pataBocoansulum xquale exhibere. ss
  41. lscest i
  42. aitis
  43. ecesic
  44. 10. (1 25. _d Ed 3 AB H t
  45. 1
  46. 1s ede ll
  47. EX Coroit
  48. tuino
  49. cur scomeneo parabolico aequale criangulum exhibuimus; quod eracimperacum.
  50. 232. bu-
  51. Corollarium.
  52. Tinc pacecrriangulum C A D aequale esse parabolX ABCB; adeoque eadem
  53. bola ad parabolam F. F C. Quod crac demonttrandum.
  54. Cdblarium.
  55. alticuamesi d alticuaeStUCKIME d quales, erun incerle rebuleS.
  56. Inc B dux parabolae habeane candem vet aequalem subrenlam, eruncilla incex
  57. o s u s s so tt s c u s oos u pa ssemoiso

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 466. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0523?run=74