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Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 77

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: 0.90.

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The machine reads it as

  1. DE CTCFOTO
  2. De Dimensione Creloidum Contractarum e Prorractarum
  3. Proprietates quaedam Creloidum.
  4. Iper eandem BaLM OML const EUAntuF tres C ycloides genere
  5. ditte: entes, scilicet GaM A Primaria, cujus genicor est P. LS: FI8. 20.
  6. COOM C.rclois quadam Contracta, cu jusg enicor estO F D: 8
  7. ECF M, Crelois quxedam Prorracta, cujus geniror elt P H D.
  8. Primo, guoniam Crclois cujulris generis tic ex moru aquabili
  9. in peripheria genitoris, dum interim genitor mocu aequabili
  10. cranSSerEuT, Suver daram batim, donec punctum generans circu-
  11. lum ablolverie, a puncto contactus incipiens ex ad idem rediens:
  12. FrgO uerique Mocus, tam circularis quam rectus, erune ubique in
  13. eadem racione. Onare in omni Crcloide, si ducatur Bali parallel a
  14. aGenitore ad CurrAI, UE F Z, vel H Y, vel R LS CTIE UE
  15. MOEUS In AECU OF, ad mocum in semicirculo OF D, ica mo-
  16. TuS reCtuS F Z, ad semissem corius motusrecti, scilicer semiba-
  17. sim DH. Similiver VE aECUS AE ad semicirculum sUUM
  18. AHD, ica HI Y ad semibalin. Idem dicitur de Aecu P I ex
  19. recta KL.
  20. Ouare posiris in directum punctis DKEI F, quoniam ArCUS
  21. OF, AII, F K sunc in eadem ratione ad Cemicirculos (UOS,
  22. CrUHE recta FZ, HIY, R Z. In eadem ratione ad COmuneM
  23. balIII DM; sunt ergoxquales, e puncta Cvcloidum ZY Z
  24. in direCtum POTICA TUINE; reCtR IGITUE Z YZN, FHIMD, TunE
  25. aequales, ee similirer sectx e pottxe: sed FD et OD similitee
  26. sectae sun: ergo recta ZYZ H, OAFD similiter sectae sunt à
  27. Curois Creloidum.
  28. Secundo, quoniam angulus OD F est ad rectum, ut areuS
  29. OF ad semicirculum PuuM, Peu UE F Z vel DN ad D M:
  30. erGO, Ut MN ad DM, ita anculus M N Z ad Rectum.
  31. TerrIO, jungANEuE FI A, eique parallela ducatur X O. Ouo.
  32. niam demonstratum est X C cangere Cycloidem primariam in
  33. L: exgo N Y cadit normaliter in Curvam primaria.
  34. Theorema.
  35. Curva Creloidis primariae est quadrupla Diametri: es
  36. portioni cuivis assignatur recta aequalis.
  37. IE semibasis GD divila in partes aequales mm indetinire
  38. minimas; et a punctis m incidare ubique in PFIALIAI NOE-
  39. maliceE

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 77. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0085?run=74