Leibniz Legible

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. 56

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: 0.87.

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The machine reads it as

  1. DE CTCLOIDE.
  2. superticiei semieylindricxe recta C A aequali descripex, distantiam
  3. a convertionis axe habeneis iph FA aequalem; uc omnia quadraca
  4. Vo fig. 20. ad tocidem quadraca A F; hoc elt, ur omnia VZ9 +
  5. 2VZ XZ0 + 209, ad coridem BF9.
  6. 59. Duam durem habene rationem omnia Zug ad omnia AFq, AC
  7. aiD= a2
  8. colligieur. FAt recta L v=
  9. (DeF = IY,) er902V9=
  10. 22Sed omnia a= D ad rocidem D =, SUNEUE X ad 3; e
  11. a2 D= a
  12. nd
  13. omnia at ad coridem DE, uc 2 ad 5: EFBO OMMIA a2 C = - a= ad 10.
  14. a2 D 2-- a
  15. tidem DF, uE = = : ad Z, SIre UE 2 ad F5. Adeoq; omni:
  16. ad coridé D=, hoc est (PFOPEeF C A = 2D) ad 2D, uE 2 ad 25.
  17. Ideooue =, D= agoregacum omnium Lv9.
  18. 60. Deinde omnia VZgad coridem AFG, sunE uE omnes circuli
  19. radiorum Z V ad coridem circulos radiorum AF: hoc ett, ut soli-
  20. dum convertione crilinei C2 AF circa C A deseripeum, ad soli-
  21. dum descriptum Cunili convertione circum (cripei Parallelogram.
  22. mi; hoc elt, ut momentum ejusdem Trilinei ad momenti cir-
  23. cumseripei Parallelogrammi, respectu ejusdem C A rectae;
  24. hoc est, ue momentum Frilinei B C C f9. 7. dd mOmentum B C
  25. Parallelogrammi sibi circumferipri, resfectu rectae cB; hoc eAt, uF
  26. Px, 8D ad P2. Nam crilinei CBB mionicudo eA =P =; ejusque
  27. centri gravicatis a cB distancia, (eadem urique cum diltancia
  28. ceneri graritacis crilinei CBF ab eadem cB,) CA =D, (Per 89G;
  29. Adeoque momentum =D 2, ED = ZD: Qod quidem momentum
  30. Si ex Parallelogrimmi CB MOmentO, S= DP= = sDPX SP, aufera-
  31. CuF; relinquit = DP= =EDC, momencum trilinei BCC respectu
  32. BC rectae. Mod icaque ad- = D P= momentum C. B parallelo.
  33. grammi, estuE P= = 8D ad F=, (IVC UE F A9-. 2FC9 ad FP9.
  34. 62. Quod iptum sic etiam probamus alias. Si duci incelli-
  35. Batur, in H9. 7. recta C A (quam per B crantituram cerrum elt)
  36. Priangulum reccilineum C e L xquale fet Trilineo C Z A F mi-
  37. Cilineo: Quod quidem mistilineum a reccilineo in hoccancum
  38. differe, quod seginentum illud B A curra _ recta comprehen
  39. LUM, A SITII B A In SIEu BC CTANSFCrEUT. Ex hac aurem dicei sC8.
  40. menti crarstatione, quod oricur difcrimen hoc est: Solidum ex
  41. convertione crilinei misti circa FC Orrum, eA (per 583) 21
  42. 2R= P, siIVCEP2 -= D=P; Solidum seu C onus ex Limili conrer
  43. Tone
  44. F18. 20.
  45. F18.7.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 56. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0076?run=74