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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 642

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: 0.87.

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

The machine reads it as

  1. 196. B1-
  2. TTZ D ER BOL A.
  3. Demongrum.
  4. d
  5. ad ACC rccladeulum.
  6. GT. AIMILIECF IPHS MI F. aquales OH.
  7. ne E F aequales BD, X F ut aqu a-
  8. aEUEPEXTerCA OO) ParaIIela L L, qua
  9. rectas C L bifariam diuicat. quoniam CO
  10. aequales lune dimidiis CL id est BD, sive
  11. DFI, CrunE CO aquales RB, lune autem
  12. GNT, vel ML aequales K, G FI, hoC CAOI.
  13. igicur K C reliqua xquales sunc rectis ON.
  14. octenlum vero esaONC esse hyperbolam
  15. isicur _ D MM esthyperbola; ac proinde
  16. etiam BFC, est enim rectangulum NGM
  17. ad NCM rectangulum hoC est rectanOU.
  18. lum POF, ad P C P. verectangulum ACC
  19. eROPOSTTTO CCZII.
  20. NIE Acentrum circuloru PaLaC DBD, EF G, quossecetre.
  21. cta FHI orchosona ipsi diametro communi A F. diaeEri aUFeM AI
  22. OCCUTFANE FFY in KKE, _ circulis in II, MM: candem hanE rectis A,
  23. KM aequales IE L: d lincis A, IE L aequales IEN quae diaetTO A P. ae qui
  24. diSteNE.
  25. Dico NN hyperbolam este e quidem parallelam ac aequalem hyper.
  26. bolx CL. B.
  27. Demonstratio.
  28. DRaecedenti propolcione oltentum ett C F B esse ad candem hyperbolam. quia
  29. LverD A, KI aequales sune ex constructione rectis RN, eE A, KMT aequales II.
  30. neis K L, ablaris aequalibusnimirum RL, 2 rectis KRN, _ A, RM, 2 rectis A, RI
  31. remanebune recte LN aequales A, MI, ac proinde J. N linex xquales incerle. vn.
  32. u de cum CLB conster eseb hyperbolam, constat quoque NNF. eAchy perbo
  33. lam; ex quidem simlem ec aqualem CL. B. Quodtuic demoncteandum.
  34. PROPOSIFIO CCXIII.
  35. Ecent invicem, aequales circuli in punctis AB: ductamq: AB (CCenE
  36. diametri DC F IN F F: X peF F. F. ponaneur aequidistantes FIF Or.
  37. chosona ad P. B. Ransdenique rectis C, F. F x quales F. C, e P. HIxqua
  38. les diametro DCF: rectis quoque F C, tanc ae quales HI.
  39. Dico CC, IL esschyperbolas oppolICaS.
  40. Demon

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 642. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0699?run=74