Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 996

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: 0.86.

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

The machine reads it as

  1. b. titim
  2. VN CYL A C. Y LLHDRIC A.
  3. Demonstratio.
  4. Demonstracum enim cs rectangulum sub DC et
  5. DF, aequale esse superticici vngulari ABD. DC-
  6. monstracum icem est rectangulum lubDC. _ P. F, X
  7. quari luperticici ATM B. oAtensum b quoque cA rectan.
  8. sulum. DC, FC aequari superticiei IMNR, e re-
  9. ctangului DC, C HIxequale exictere superticici RNOL.
  10. rectangulum denique super D C e FTC, xquale esse
  11. superticici CL O. Pacerisicur coram vngulx superticiem
  12. diuitam eAC sccundum parces diameeri D C, cum qua-
  13. deacum DC. sc divisum in rectansula qua clorciuneuT
  14. andem racionem quam parres linCx DC.
  15. DeOsiF1O. Lt
  16. IYlindrusrectus A B D L, CuraS AICICHdO PAF
  17. ctionem ongularem ABCD.
  18. Oco luperticiem ingularem ad cyliiaau, cam obtinereracionem,
  19. quam diameret clculi ad perimerrum.
  20. Demonstratio.
  21. no exhibe
  22. Alic diamerro basis AD, Sccetur per AD pla-
  23. Vpersicies cylindrirecti AF aequalis est rectangulo concento sub BC, hoc eA
  24. DDA, e sub coroperimetro circuli ABD: quod eodem fere discurtu probabitur.
  25. quo demonstrauic Archimedes criangulum cujus alcicudo est semidiamerer, balisre.
  26. ro, circumferencia, aquari circulo. se d quadeatum D A est ad rectangulum conten-
  27. cum (ub D A, ex perimetro circuli, ve D A est ad perimerrum circuli. Fr∞o e qu2-
  28. dracum D A, hoc cs per 15. curua superticies rnigulae A CD, est ad crlindri su-
  29. perticiem ve diameter D A est ad perimeerum circuli A B D. Ouod erac demon-
  30. Bcanidum.
  31. PROEOSIFIO LIV.
  32. Noula ABCD culus alticudo BC, lecerur plano per AD ee quod-
  33. idet fuliocuu e latbla
  34. eotel

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 996. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1053?run=74