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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 375

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. AKAB
  2. Corollarium.
  3. Xhis sequitur primo: posica E. F Ordinarim ad diametrum B D qu als III L LLCHE
  4. GCOHEIHSEnEeS duX A D, C D. AI CAS ex F X L ductas ipsiS AD, CD aquidi
  5. sances diansccums quesc BB, In Vio codemque puncto decullare. Patet demon-
  6. Aracio ex praecedenci, cuius converla eAt.
  7. Sequitur lecundo: Polica A C ordinarim ad diamerrum BD demissisque ex A
  8. et C aqualibus diameeris AK, C L, quod rectX Dex R _ F, ordinatim posica,
  9. DB diametro occurrane in rno eodemque puncto. Pacec ex ance dictis demonstra-
  10. tio, cum tansenteS per A e C acta, ordinacim per R de L. policis xequidistene, dt
  11. BD diamecro in rno eodemque occurranepuncto.
  12. Sequicurrerrio: lineam (OT) coniungencem puncta, in quibus recta (BF,
  13. BF) continsencibus aequidistances, parabole occurrune, equidistare recta (F. F) ex
  14. crema linearum B F, B F coniungenti, adeogue lincas O) T, AC, R E esseparalle.
  15. la5. ex ance dictis demonstracio manifesta est.
  16. PROPOSITIO ZZVIII.
  17. Sio ABC parabola clamerer BD, in qua a ssumpro puncto quouis
  18. sD, demiccatur DP. UCans parabolam in duobus punctis A _ F. X Cx
  19. F. Ordinatim ponatur P. F, iunetaque FD occurrac parabole in C.
  20. DicoFF, AC lincas aequidiltare.
  21. Demonsrio:
  22. aequidiltans L. L, _ ex L per Cn duca.
  23. cux FO, convenier illa cum diametro BD
  24. a in D, est aurem ex constructione DF
  25. linea recta occurrens sectioni in C, ipitur
  26. recta FCD, eadem eA cum FC D. onde
  27. ex punctum C idem cum C puncto, igirur
  28. aequidistanE P F e AC. Quod fuir de-
  29. monstrandum.
  30. EP enimnon (inEparallelE, PONAEF AC
  31. eROPOSII1O LLLX
  32. Equidistent in parabola quenislince AC, L. F, iunctisq: AF, C F
  33. Laponatur alia quauis Pau Meucns utIs AL, C L
  34. in I_ R.
  35. Dico CI, K HI lincas esse incer se xquales.
  36. monsirat.
  37. DOnatuF L. D diameter rectarum AC, GFI. Ouoniam HIC equidistac A C oI.
  38. nacim posiex, eris HIC in D bbitariam divila: eAt aurem YD Xqualis D R cum L. du

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 375. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0432?run=74