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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1012

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. VNEVLA CFLINDEL
  2. 7012
  3. luncincer le, e ad rorum rectansm L. C BD, Vr parces diamerri ad le muruo vel
  4. adcocam diamerrum. ergo e leomenta luperticiei rngularis, sunc inter se, vel ad to-
  5. tam superticiem ongulxe, ve partes diamerri incer (e vel ad corant diameerum. Ouod
  6. erac demonstrandum.
  7. Analosia cum sphaera.
  8. AdCdus ex demonstraris ab Archimede ex Pappoleomenea superhcici (phaerica
  9. placs ad diamerrum rect cua. ellc incer se ve parres diametri. In hac ersoet.
  10. iam pulcherrima proprietate, rngula _ pLIXTA CONVENIUHE.
  11. eROFOSIIIO. LXXVI.
  12. Vomnibus denique supetsetem ingularem convenire cum (phaerica
  13. Demonstratio.
  14. DOnaneur vngula DB C alcicudinem habens
  15. diamecro parem, et sphaera LGHI R, Sineque
  16. circuli maximi sphaerx aequales ongulae bal
  17. D AC, secetur quoque sphaera quacunque de-
  18. mum ratione per circulum F PFT plano recto
  19. ad circulum maximum F CFT. iunganeur de-
  20. inde P FTOFT. Diuisâ deindeD C’in L, Cc.
  21. cundum racionem qua diuita eAt P. C in R, CrC-
  22. Ataque I. A normalicer ad D C secetur vngula
  23. plano L AB. ponancurque AD, AC. OAten-
  24. dic Archimedes libro de sphaera, et cylindro
  25. propolicione erigelima prima sphaericam super-
  26. nciem FPTTR aqualom esse circulo qui radio
  27. E FI deseribicur nos aurema demonstranimus
  28. vugularem saperticiem ABC aequalem esse
  29. rectangulo L CD, hoc CAD quadratO A C. PFX -
  30. cerea Archimedes demonstraepropolicione eri-
  31. gelima secunda eiusdem libri superkciem sphe-
  32. riCam FTITC absciltam aequalem esse circulo
  33. cuius radius es FT G. nos quoque ostendimus
  34. superhiciem vngularem ABD aequalem este
  35. rectangulo F D C, hoc est quadrato D A. DC-
  36. nique ostendie Archimedes eotam sphaera su-
  37. perticiem aequari circulo cuius radius F C: 8
  38. nos demostrauimusceocam vngularem super-
  39. Eeiem xquari quadraco D C. IgIEULEOTArngU.
  40. nem quam cora phara lupertcies ad luas PaTTCS.
  41. Manifectum igicur estrngularem superticiem d sphaera rocunditare nullo alio dif-
  42. Ferre nih lecundum lineas expanlas et circulares: vnde A quis haCFATIONC ANTCTAE AP-
  43. chimedem devenisse in nociciam demonstracionum quibus in maceria sphaerx d cy-
  44. lindri vlus eAt, non riderur L rero aberraturus.
  45. a 46. huius
  46. b8. Sensi.
  47. 45. hivius.
  48. iC ostendo.
  49. laris superticies D ABC ad suas parres in quas est divila candem habet propoxtio-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1012. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1069?run=74