Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1005

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. NGVLA CXLINDRTCA
  2. Demonstratio.
  3. 1007
  4. GREca CxCenrO LMI normali ad K F diamecrum, inscribaeur lemicireulo qui est
  5. balSrnoula parabola KM I axem habens LM. Demonstracum est a cylindro a Vide2s.
  6. paraboliooabe balim parabolam KM I e alcicudinem lemidiameeri L pT ~. huins.
  7. quari rngulam super baA lemlcirculari INM K, d alcicudino dlametri R L. sedeciam
  8. peaecedenci propolicione ostensum est eidem eylindro parabolico aequari prramidé
  9. cuius alcirudo sic IM, basis vero rectangulum quod sub KI de dupla alcicudinis
  10. cylindei parabolici, sub dupla nempe ipsius P. MI, hoc est rursum sub KI, concine-
  11. tur. erso prramis, cuius alcicudo est semidiamerer L MI, balis vero quadratum, dia-
  12. metri KI, aquacur exlindro parabolico, hoc est veiam ostendi, aequatur vngulx. se d
  13. CEIA COEPUS L GTTEC D A L B xequatur prramidi cuius balS sc aequalis quadeato B62 huins
  14. RI ex alcicudo lic LM. ergo corpuS L. OHFCD AL. xquale elt ingulari magnir
  15. cudini. Duodtuir demonstrandum.
  16. LR 5
  17. A R T A.
  18. Comparatio onula cylinarica cum sphaera es aliis corporibus.
  19. Ac parce maxilr incendimus symbolizationes ingulx cylindricae
  20. acum sphaera nocas reddere, canta enim est similiendo incer vngulam
  21. ex sphaera, veomnes spllaea proprietares, unsulx communes sinc, quem-
  22. admodum exiis que dleinceps demonMraturi Cumus cognolcipoterir.
  23. PROPOSITIO LX VII.
  24. Aca Cierngula C D Na cplindro recto abscisti, alcicudinem parem
  25. Phabens diameero BaLCB CM, ex hac relectum SIEB ADC Cegmen-
  26. cum plano peraxem eflillari cranscunce, cuius communis lectio cum
  27. ba(I olliprica sIc recta B D. Circumscribatur aurem polrgonum
  28. CF F C A arcui AF. C, X lecundum lacera polyooni tiant plana axiparal-
  29. ela qua extibeant in platto ellipeico comunes lectiones CHI, HIK, IED.
  30. ec ponacur AL. comc Ct, xequidistans suc normalis diamerro
  31. N
  32. Dicc
  33. t
  34. e use e e ues te te e u e t e e ue e e e e e 1e t e t pat e e te tet e su t it it et te e e te t et s t ee se e te t ri ta te . e pte t p le

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1005. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1062?run=74