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. 66

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: 0.83.

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

The machine reads it as

  1. 218.7
  2. DE
  3. CXCLOIDE
  4. miC B, respectu ejusdem C F, eA, ?Dp. = = DP x FP. HO-
  5. rum momentorum differencia ;= DP 2 -ZD. (cum ex sola
  6. crilinei BB A in sIEuM BCC. ETAMCLATIONC OTIATUE) A Pee
  7. =DP- ZD2 (crilinei BC C mognitudinem) dividatur; PFO-
  8. dibie
  9. op2
  10. 2
  11. 6D
  12. mensura promocionis ceneri gravitaris crilinei
  13. BB A in sicum BCC ermsaci. Hlujus isicur semissis
  14. P2 8DE
  15. 8D = 16D
  16. eric ejusdem ceneri a cB distantia: Ouxe in ZDP -ZD = magni-
  17. cudinem ducta; dac e D P= : B ejusdem BCC crilinei mo-
  18. meneum respectu cB rectae. V’el, quod eodem recidit, diffe-
  19. PEHEIR MIOICHEOrI iNVeNCa, Z DP= = 2D3., TemiIIS DP2
  20. CD, est erilivei tramslocaci momentum guaetirum. (Nam Ouo-
  21. e
  22. cieneis dimidium, in Divisorem ductum, resticuie Dividui se-
  23. missem.) Inde eadem quae prius oritur ratio t D D = = = D ad
  24. EtDP=, sVC FZ =BD= ad D =; GuX 6O quaxe rebaEUT.
  25. 63. Hlac itaque ratione inventa, sic procedimus. Guadracum
  26. AF Hg. 2O. CHt = P = quod duCtum In C A = 2D, dac ZDF=
  27. aegregatum omnium AF9. Si trac icaque (proprer racionem mo
  28. AOInVeNEAM) uE F= ad Y= =8D=, SIC =DPZ ad quartUM; CTIE
  29. illud : DP2 = 4 D dooregacum omnium Z. V 9.
  30. 64. Supereltue inguiramus, quam ad eadem omnia AFq, Fa-
  31. cionem habeane, omnia bina rectangula 2 V Z XZ. vHs. 10. (∞
  32. SBMCMOTAECA;) hoc ele, omnes VZ in 22v, hoc est (Per = 1Y
  33. omnes V Z in 2 a V: D-a
  34. : Hoc est, omnes VZ in V: D -- a
  35. in 20. Ouam racionem his passibus inrelligamus.
  36. 65. Recta ZV crilinei CZAF A9. 20. Tunc rectis VZ crilinei
  37. BVcC Ag. 7. Proporcioniles: Irem rectae CL =2a Hg. 10. rectis
  38. BY H8.7. EE V: D2 = a2.
  39. V
  40. rectis ZY quadrancem CbC com-
  41. plencibus provorcionales. Omnes isituF VZ in
  42. V: D== a2
  43. : SunE
  44. ue omnia rectanoula V ZXZ Y A∞.7. Oux icerum in 2 a dueta,
  45. sunc ux horum rectarigulorum momenta respectu rectae FBKP. 7.
  46. Ouonrum autem sic horum omnium momeneum (ic colligimus.
  47. 66. Incelligatur primo super planum crilinei C L AF H8. 7.
  48. eriei lemicirculum C b F ad angulos rectos; ita quidem uE C L
  49. dis

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 66. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0074?run=74