Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 967

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: 0.89.

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

The machine reads it as

  1. V N CV L A CYLAHDRIC A.
  2. Demonstratio.
  3. FIEISIS DEILCS _E HETTO, inscribaneur
  4. prramides super eadem basi FT C, crune
  5. txpreamides incer se aequales, cum alcicudi-
  6. nes neaquales; similicer X quabanEUE e py-
  7. ramides, qua in Frustis ITTOC _ HTTOL,
  8. Cuper eadem bali constiruentur, cum alcicudi-
  9. nes carum etiam sine aequales, e quia omnes
  10. similicer figurx inlcribenda Fructo IIOTD,
  11. aequales crune fguris que eadem constru-
  12. ctione inscribentur Frulto HTOK, CruNE
  13. Frusta illa equalia. 2 pari modo quia onnes
  14. quoque figura tructis TIICC, TITOT in-
  15. Scribende Fucura. sinc aequales perpetuo, ct-
  16. jam hxc Frusta aequalia CruIHE; CunEigiEVE qua-
  17. cuor illae parces Colde aquales incer le, ac
  18. proinde solidum ROL aequatur Colido
  19. DOCTV ITC: ostensum quoque est
  20. DTHLC Xquari DHTK. Pgicur communi
  21. addIEODEBL ID, CTIEDKIL B aquale
  22. DTCB: addIcisergO KGP, DGCTDTI.
  23. qua ance ostendi esse ae qualia, torum D C CB aequale erit cori DR C L. B. Ouod.
  24. fuic demonctrandum.
  25. PROPOSIFTO AMII.
  26. Aca BE vnga BD AC, in cuius bali de Vatos diametrum AB, X-
  27. Aquidistet CF, qua bilecta in C, per C _ axem cstua ducatur vlg-
  28. num taciens in cflindri luperticie sectionem C D. lumpro deinde in C D
  29. puncto aliquo R, perillud sccundum AB diamerrum hac ingulatisle-
  30. ctio BL. KM a. Denique per rectam FP. asC planuu ani aquidistans
  31. FLHIME,
  32. Dico parremrnoularem F I. LM L
  33. ad vngularem partem FTTDIF eam
  34. habererationem quam haberrecta C. H
  35. ad rectam CD.
  36. Demonstratio.
  37. cam habere rarionem quam habce. CD ad
  38. CK: eodem aurem discurtu octendi porest
  39. vngUIA BD A, PaTECM BFFTTF. A, ad paF-
  40. EEIM BFLME A vngula BR A, candem
  41. habere rationem quam FFT ad FL, hoC CA
  42. CD ad CR. isicur relidua duo F HD TF,
  43. FL KM F. eandem habene racionem, quam
  44. CD ad CR. Duod tuic demonstrandum.
  45. Corollarium.
  46. Vmisicur per z. huius etiam eorae rngula
  47. B K A, BD A cacionem candem hab CanE
  48. quam recte CR, C D, Sequitur vngulAS FOEAS
  49. lesmencis eAle proporrionales.
  50. 967
  51. b24. lovius.
  52. Scenim ostensum c solidam magnicudinem
  53. Longularem BD A C ad rngulan BK AC
  54. a

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 967. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1024?run=74