Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 719

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: 0.83.

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

The machine reads it as

  1. 111I
  2. IN PL A N V N.
  3. ∞BD seinicircilus ductus iH teclatioulum C AB vel B C, SuperEcieta producie
  4. erlindricam BH: reliduum isicur planum AB quod lemicirculo C BB con- a 15. hun:.
  5. eruic ductum in rectansulum C AB vel C BF; concauum producie superticiem
  6. Chlindricam, quae DF luperticiei congruie.
  7. PROPOSIF, 1O XI
  8. lEmicirculo a rectansulum circum scribatur:
  9. dnam concauum (qua excima Cemicircus petmetto d les
  10. stansum acco incercipicur) ductam in se, Supertcies duas produceré
  11. clindricas, quarum communis incer sectio hgura est elliprica.
  12. Demonstratio.
  13. Emicireulo AB C rectangulum circumeri
  14. Obacor ADC. aILD DB siguram ductam in (C;
  15. superhcies duas Cxlindricas producere, quarum
  16. communis incerlecclo Agura est elliprica: supee
  17. DD inca rectangelum BONAEUE F D F aquale
  18. ADC: dein E DF, Cemicirculus inseribaeuE
  19. F. C L. Parec illum equari semicirculo ABC, et
  20. DB, D C lincas dnes xequari. Octenlum est pTE-
  21. cerea Acuram conduam BD, ductam in ADC
  22. rectangulum, exhibere superticiem exlindei-
  23. cam: desui BD icCH DO, pars est illius re-
  24. dangult, oriam B ductum in DC Producce
  25. supertierem cylinatiCaM. quix vero DB ad DB,
  26. eandem habencrarionem quam D C adD C, cx-
  27. jam DB sd DB, candem habebune rarionem
  28. quam D F ad De ue diagonales sune quadra
  29. eorum DB. quate Cum P B e OC Sinc ad co(. 101CL, 2 1. d 1E
  30. dem circolos, ex constructione patecn F F esse ad 1
  31. eandem elliplim, cum DB minor hc dingonale
  32. PROPOSITIO
  33. a
  34. F. l.0
  35. uino
  36. gruic, dico lyperticiem prodci cplindricam.
  37. I(dem policis, si fsura concaua ducacurin luum semicirculum cui con-
  38. .V. C
  39. onsorior.
  40. l
  41. Emonstracum eA D B ductum D K rectangulum, cexhibere Hpertciem extin- = i9 tuius
  42. dricam. sed D B ducum il eu pas i ddelt Bicur etiam DB
  43. i BS exhibene supecueteu C cylindricam.
  44. 1 e 1 s e e e t t t te . t 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 719. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0776?run=74