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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 361

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: 0.91.

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

The machine reads it as

  1. P A R A BC
  2. Demonstratio.
  3. DOEra per L punctum? LM paralleta
  4. AC ducacur secundum LM; planum
  5. LKM aequidistans plano baleos ASC:
  6. circulus ioiEmE a CA L RNI, _ TTK, FC
  7. communes incerlectiones b parallela. e
  8. quia FF C ex hypochelinormalis ad dia-
  9. merrum A C, ab eadem in R bitariam est
  10. dinila, TTK quoquecnormalis est ad L. M,
  11. _ d in Ibitariam divila. Ouod erac. dc.
  12. monstrandum.
  13. Corollarium.
  14. JX hac proposrione paret, in parabola, si
  15. diamecer rectam quandam bitariam se-
  16. cec, omnes quoque eidem bislecta aquidi-
  17. Cances bitariam secari. pater, cum P. D dia-
  18. mecer scquae cunque, _ TIIK queuisaequi.
  19. dictancum recte FO in P. bitariam divilae.
  20. PROPOSITIO I
  21. Acalinca, parabolam in duobus punctis secanie illius exhibere dia-
  22. mecrum.
  23. Constructio es demonstratio.
  24. Tuicae A C bifariam in D POnaEuT F F xqui-
  25. distans, qua limilirer bissecta in Cn duCaTUE PEF
  26. C _ D, linca BC D: dico illam diamerrum esse
  27. quaestam: SinOn, SE L D diameter, quae produ-
  28. Eta sCCeE E F in NI: quoniam igieur L D diameTEF
  29. Bitariam secar AC, bissecabic C quoque in M, F F.
  30. ips AC xequidistancem, sed F P. bissecta ponitur in
  31. D: cric igitur in D et M, bissecta linca FF. Ouod
  32. fierinon pocest. non igitur LD diamerer est sed
  33. BD. exhibuimusisicur, ecc. Ouod cxar Faciendum.
  34. PRO P OSITIO IV.
  35. Daco in perimetro parabola puncto, ad da-
  36. LAcam diumerrum ordinacim ponere.
  37. Constructio es demonstrario.
  38. cin Pechaelto patabola AB C. datum punctum A, d
  39. diamecer data sic BP. D ad quam ex A ordinatim 0.
  40. Porterponere lineam ARC, iuneta AB producarur in
  41. F, vE A B, BF aequales linc, d ex F demissa F C Paral.
  42. leta BF, occurrac parabolae in C. iungacurque A C:
  43. PATCE AC Fin P bitariam esse divilam, cum AF, bis-
  44. secta sic in B, _c FC, BP aequidistenes a dacoigicur in pe-
  45. rimetro parabole puncto, et c. Quod erac Faciendum.
  46. b1b. Vnde-
  47. C EX clemet
  48. Xer.
  49. Pro-
  50. Corol.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 361. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0418?run=74