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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 860

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: 0.85.

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

The machine reads it as

  1. 306
  2. a 42. parab.
  3. 167.8a
  4. i
  5. uin.
  6. DV CTYS PLaH
  7. Demonstratio.
  8. tas F C qua aquidistoc AD; crune
  9. sconcinta ED, BD, F D. limilicet
  10. nECtCS COnTINUX ED; ED, OV, b Crit
  11. GC PatWMa. ISICUE CCOrpUS CmOrgeHS ex
  12. perncto BD in alcicudinem PD aequa-
  13. cur illi qu’od sc ex ductu superticiei BD in
  14. epa. PaI PactO COrpUS quOd CTUIEUE eX
  15. dali GD. in alcicudinem F D, Xqusle est py
  16. aum, rarionem candem obriner quam eria ad duo.
  17. AEx der ad duo, oum d. B Fi duplum sie B F) ec consequencer F D criplum ciusdem; igicur
  18. inst. 243. cciam BB in sc ad P D in sC d
  19. ramidique extursit ex F D criangulo in (e ducto. Tsitur ve est superticies RD ad lu-
  20. Perticiem OD. ica eAtcorpus orrum ex ductu B D plani in le, ad folidum quod ori-
  21. cur ex ductu F.D in Pe: sed superficies CD estad luperticiem CD, Auc BR. Vecria
  22. Duod erat demonstrandum.
  23. PR OPOSITIO CCXL
  24. 1EHOC A 33isF~V
  25. DArabole ABC sIT axIs A D, ApCx AuIECM A punccum, cui Sub alcer
  26. L nCCOII
  27. etur, parabola D L. Li ad dxct D H, ee politis duabus xqui-
  28. distancibus ordinarim ad axem cellicet G, fl, lK, hanc rectangula OP H
  29. aequalia rectangulis OPR; licalirem ONI, linca recta, vei _ HI R R.
  30. Dicocorpus ex duccu superticierum NO, PO, aequale esse corpori
  31. quod generacur ex planis inuicem ductis OP, OR.
  32. Demonstratio.
  33. roniam ductum planum PO in al.
  34. cicudinem NP, aequatur lolidis pe-
  35. nicis ex ductu NO in PO, e ex O)
  36. plano in planum PO, et quandoqui-
  37. dem solidum habens basim O P, _ al.
  38. cicudinem, P R, aquale eA duabus qua
  39. ciracibus quae tiunc ex ductu plani OL
  40. in PO, e plani OP in OR planum
  41. eAt aurem Colidum ortum ex ductu OP
  42. tOP. In PO, ab veroque autcEaEur.
  43. pora, Ccilicer corpus ex duetu NV O, in PO aequalo solido
  44. i OP, in OR. Ouddemonstrandum fuit.
  45. in P
  46. qucs isiu
  47. remanebunt Xqu
  48. quod exhibet ductusi
  49. I. L
  50. C C Z
  51. Malteur iceru parabole sub.
  52. alTerHO ABC, DE F haben-
  53. tes axes paralseloS AC, D F: e du-
  54. cta axibus parallela BK, HatCOr.
  55. pus habens balim M C, et alcieu-
  56. dinem CN aequale Colido quod
  57. nc lubbali CO e alcirudinc C P.
  58. Dico Colidum Faccum ex ducru
  59. Demon-
  60. plani MO in ON, aquari corpori extibiro, per ducrum GO in P M planuti

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 860. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0917?run=74