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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, 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: 0.86.

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

The machine reads it as

  1. it
  2. C
  3. A
  4. PXOP. 24. THFOAPMA
  5. .
  6. Eildem positis, quae in antecedente: superficies trunci erit ad super
  7. ficiem soliditorundi orti ex ejus baserotata circa communem (e-
  8. etionem baseos siopus est) productaees plani secantis, et altitua
  9. docylindrici d circumferentiam circuli cuius (imidiameter est
  10. paratio int eadem sicur in ancecedentes did
  11. co supcenciem erunciR ODC esse ad superticiem solidi
  12. rocundi orti en LOEDEIONE AGUrR DE FC CIFCA TK AXCM FOCA-
  13. tionis, et oP alcicudo cylindrici ad circumferentiam circuli
  14. edus lemidiamrecer estradius roracionis L. P. in anteceden-
  15. ce demonutoum est OP esse ad circumterenciam circuli cu.
  16. justemidiumeler PL., ve IIE ad circumferentium circuli cu-
  17. jus lemidiaer FV: acque haec proporcio eodem modo
  18. deonstracur de omnibus rectis in superhcierrunciR ODC
  19. ed darem BL FC perpendicularibus, ad omnes circumteren.
  20. cias circulorum ab earum punctis intimis in circumrocacio.
  21. ne descriptasi atque ex omnibus illis rectis condatur ipsa su-
  22. perticies trunci, e ex omnibus circumterenciis circulorum
  23. ab intimis rectarum punctis seu a baseos ambiru descripeis.
  24. consarur superticies Colidi rocundi orri ex rotatione baleos
  25. circa exem IK; ee ideo verna ancecedencium ad vnam con-
  26. lequencium, nempe OP alcicudo crlindrici ad circumteren.
  27. tium circuli cuius lemediamerer elt LP radiusrocationis, ica
  28. omnes ancecedentes, hoc est, luperticies crunci RQDC, ad
  29. omnes conlequentess hoc est, luperticiem Colidi rorundi or-
  30. ei exrocatione ba(eos DEFC circa axem rotarionis IK, quod
  31. erac demonstrandum. Hoc eriam cheorema demonstrarur
  32. eodem modo de rrunco superiore s Agura AB conCiPIATUE
  33. rocari circa rectam MII.
  34. Pacet ex demonstracione superticiem trunci RD C de
  35. superticiem Colidirorundi orri exrocarione baleOs D E FC
  36. CITCa
  37. radiusrocationis.
  38. SUra _ pE

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 51. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0067?run=74