Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 17

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: 0.82.

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

The machine reads it as

  1. B
  2. 15
  3. e
  4. 1d
  5. d
  6. IE
  7. EC
  8. quod dciion
  9. ex isitur CD, CFs non sune parAHIeIIX
  10. AdUM CTAE.
  11. Animaduereendum estnos hictantum loqui de illis cur.
  12. sis simplicibus, quae (quo longius distant ab A) comaiorem
  13. incercipiune rectam F. D; nam ex hac suppolitione pendee
  14. PROP. 6. PROBLEMA.
  15. Imenire curiam, quae ad suum axem eandem babeat rationem
  16. quam fcura qualibet exhibita ad rectanculum sibi inscri-
  17. ptum, recta data seu quasita curva axi axplicatum.
  18. Pctigura exhribica ABSO, rectangulum inscripeum AB
  19. DR O; (icque cuera BS simplex seu non linuola, li aurem (IE
  20. diuidenda est in plures simplices, se demonstracio seortim in.
  21. Airvenda. deinde AE CUEVA AELP talis natuEK, UE, ductL re-
  22. eta quacunq: INTnormalirecta AO, CUrVam AFL P CCCanCCII
  23. L recta IN sic aequalis pocencia verique IL, IM: deinde du-
  24. catur curra ALx Gcalisnarure, ue, dueta recta quicunqua
  25. IM rectae AO perpendiculari de curram AFR ( lCCanEC
  26. inR _ AFL P in L, rectangulum MIL Cic aequale mixci-
  27. lineo TAFE. dico Aguram ABSO esse ad rectangulum
  28. ABRO NECUrra A F. KO ad rectam AO. Sc in curra AFL. B
  29. punctum ad libicum H, per quod ducacur recta IN perpen-
  30. dicularis recta AO d lineas A F L. P3 BR, BHINS, CccanS
  31. in L, M. N punctis; seque ucIL ad IM ica TRad IC e du-
  32. CaCUE RC: recta KC curram A( secaF vel eangit in puncto
  33. Ki AReri pOEeK, eam secet inK, _ ideo intra curram cadee
  34. nempe intra punctum F verlus verticem Ai ducaeur per pun-
  35. etum E recta DEI rectae IN parallella lineas AO AP; BR,
  36. B5. lecans in punctis En F. Cn HI, de rectam L. C in a, icem
  37. compleacur rectansulum IL. L. C cuius lacus LZ rectam DH
  38. lecer inX. quonium bL. CH ad LM HEIR ad FC, exir rectan
  39. Sulum
  40. nnicem sec
  41. demonstrationis vis.

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 17. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0033?run=74