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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: 0.91.

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

The machine reads it as

  1. DE CXCEOTDE.
  2. De Dimensione Creloidum COnFrRCtAEUI EE PFOETACtaTUI.
  3. Proprietates quaedam Cycloidum.
  4. IIper eandem BaSIM OM conAt ruantur tres Cycloides zenere
  5. ditterences, scilicet CaM a Primaria, cujus genicor est AHI: F18. 20.
  6. C0OM C. Vclois guaedam Contracta, cujusgenicor estO F D: X
  7. C CF. M, CVelois quedam Prorracta, cujus genicor elt L.I I.
  8. Prim:O, Guoniam C. Vlois cujulvis generis tuc ex moru aquabili
  9. in pecipheria genitoris, dum incerim seniror mocu aeguabili
  10. Eransfertur, Cuper dacam baCm, donec punctum generans circu-
  11. lum ablolverit, a puncto contactus incipiens et ad idem rediens:
  12. Frgo utrique Mocus, tam circularis quam rectus, erunt ubique in
  13. eadem ratione. Quare in omni Crcloide, si ducatur Bali parallela
  14. dGenitOre ad CUEVAI, UE FZ, vel H Y, vel HZ; erIC uE
  15. MOTUS in arcu O F, ad mocum insemicirculo OF D, IEA MO-
  16. Tus rectus F X, ad semissem corius motusrecti, scilicet semiba-
  17. (IM DM. Simmiliver vE aECUS AHI ad semicirculum suum
  18. A HD, ica EI Y ad semibasin. Idem dicitur de arcu F R et
  19. recta RL.
  20. Ouare potiris in directum punctis DR H F, quonia ArCUS
  21. OF, AH, FK sunc in eadem racione ad Temicirculos (uOS,
  22. eTunE recta FZ, HY, R Z. In eadem rarione ad communem
  23. batim DM; Tunc ereo rquales, e puncta Cycloidum Z Y Z
  24. in directum polica TunE; rectae isITE Z YZN, FHKD, sunE
  25. aequales, e similiter sectae e postx: sed FD ec OD similiter
  26. sectae sun: ergo recta XTZ H, O AFD similiter secta sunt a
  27. Curvis Creloidum.
  28. Secundo, quoniam angulus O D F eAt ad rectuM, ut aECUS
  29. OF ad TericirculuM CUIUI, seU UE F Z vel DN ad DM.
  30. erGO, ut MN ad DM, ita anculus M N Z ad Rectum.
  31. Terrio, junganeur FI A, eique parallela duCatuE Y 9. Ouo.
  32. niam demonttracum est Y Q cangere Cycloidem primariam in
  33. Y: e530 NV Y cadit normaliter in Curvam primaria.
  34. Theorema.
  35. Curva Cycloidis primariae est quadrupla Diametri: S
  36. portioni cuivis assienatur recta aequalis.
  37. IC semibalis C D divisa in parces aquales mm indesinire
  38. minimas; et d punctis m incidane ubique in primariam nor-
  39. MaliceL

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/826605435:0089?run=74