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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 51

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: 0.92.

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

The machine reads it as

  1. PKOP. 24 YHEOREMA.
  2. quae in antecedente; superficies trunci erit ad super
  3. ficiem solidirorundi orri ex ejus base rotata circa communem se-
  4. ctionem baseos (siopus est) producta plani secantis, ut altitu-
  5. do cylinarici ad circumferentiam circuli cuius (emidiameter est
  6. radius rotationis.
  7. sura e praeparatio uint cadem sicur in ancecedentes di
  8. co superticiem crunciR DDC esse ad superticiem colide
  9. rorundi orci ex rOtAEIOnC AGUTR DE FC CirCa IK axeM FOTa
  10. cionis, re OP alcicudo crlindrici ad circumterentiam circuli
  11. cuius semidiameter estradius rorationis L. P. in anceceden-
  12. te demonstracum est OP esse 2d circumferentiom circuli cu-
  13. Ius CemidiAecer PL., VE HIE ad circum ferenciam circuli cu-
  14. jus lemidiameter F V: acque haec proporrio codem modo
  15. demonstratur de omnibus rectis in superhcierrunciR aDC
  16. ad basem BE FC perpendicularibus, ad omnes circumteren
  17. cias circulorum ab eorum punctis intimis in circumroration
  18. ne descriptas; atque ex omnibus illis rectis condatur ipla su-
  19. perhcies crunci, de ex omnibus circumferenciis circulorum
  20. ab intimis rectorum punctis seu a baseos ambieu descripeis.
  21. consatur superticies Colidi rocundi orri ex rotatione balcos
  22. circaaxem lK; ee ideo verna encccedencium ad rnam con-
  23. sequentium nempe O P alcieudo cxlindrici ad circumteren-
  24. tium circuli cuius semediamerer elt L. P radiusrocationis, ica
  25. omnes anrecedentes, hoc est, lupertcies trunci RODC, ad
  26. omnes conlequenres, hoc est, superficiem solidi rocundi or-
  27. ti exrotatione baseos DFFC circa uxemrorationis IKC, quod
  28. erac demonstrandum. Hoc eriam cheorema demonttrarur
  29. eodem modo decrunco superiore si Rgura A B concipiAEVE
  30. rotaricirea rectam MN.
  31. Pater ex demonstracione superticiem rrunci R OD C de
  32. Cuxerticiem Colidirocundi orri ex rocarione baleOS DEPL
  33. CITCa
  34. Eildem postis

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 51. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0135?run=74