Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 1005

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: 0.81.

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

The machine reads it as

  1. P.
  2. De Percussione.
  3. A, PonduS mL, CeletIao e alcogE HOenCUM Mr Z C; Graris B PonANS
  4. nZ, Celeritas (minor) se au moencumnsPC; Adeoque simul ucriul-
  5. C: per prOB. 27. Cap F.
  6. 1005
  7. que Momentum mr P C. + n sl C.: Biritohoc Det Auan Loerum m P + nZ;
  8. habebicur communis urriusque fucura Celericas
  9. (Ecquidem si pondera sint aequalia; hoc ett, m =n; OTI
  10. Ouod Crat prOpOTiCuM.
  11. Tdeoque, praecedentis nP momentum, quod prius Fuerat n sP C., jam fit
  12. mr. +nS PC; e sublequenris m P momencum, quod fuerat mr P C, jam fic
  13. M + 2
  14. M r + n S
  15. m P C. Adteoque Momentum hinc demprum, et reliquo collacum, est
  16. M + n C.
  17. nI ZC. -
  18. bd C
  19. etnd
  20. LC
  21. n.
  22. m.
  23. B. F n
  24. mr-ms
  25. Mn
  26. CSIC SCI 8ISdid
  27. mn D CI
  28. n
  29. Si duo Graria, lecundum candem rCCTAM, CONETATHS mOtIbUS OCCUPTeN
  30. tia, sibi mucuo directe impinsant: Caciu Cetaleus atque
  31. ad eas partes ferentur; quas calculus indicabit.
  32. Nempe; Si Momentorum Difterentia, (quoniam ad contrarias Partes)
  33. per Summam Ponderum diridatur; habebitur communis ueriulque
  34. Celeritas polt futura; e quidem ad eas partes ad quas cendebat Vis
  35. praepollens.
  36. Ft quidem, s Pondera lint aequalia; erit Celeritatum semi ditterentia.
  37. Sin aequipolleant contraria Momenta, (propeer aequalia inricem cum
  38. Pondera, tum Celeritates; aut has illis reciproce proportionales:)
  39. ad neutras partes Ferentur: Ccd quiescent utraque.
  40. Fucura autem celeritas, in utriulris pondus ducta, exhibet ejusdem
  41. momentum pott fucurum.
  42. FIECravis A, Pondus m P, Celeriras L rC, adeoque Momentum L mr P C.
  43. DCportum: ) cui occurcat moru directe conratio crave B, cujus pondus n P,
  44. Fi9. 302.
  45. seleritae = 5C, adeoque HCenTM = n SX C (FCLTOLIBI. )d uiriulque lmiE
  46. Momentum (Teu MOENCOTM, BOLE ad CONCTaTIAS Partes, Differenta, ) Mr L C
  47. 8. Cap. T.) Hoc itaque per lumma pondetum m L Fn L dirilum; extibet eout
  48. munem veriusque celeritatem deinceps futuram, mr ns
  49. m. n C CDrONSuM Vel FCtOT.
  50. tum, prour signum F aut = praeralueric:) Der PrOP. 27. Cap. L. (Adeoque, Si
  51. Pondera sine aequalia; exie, Proprex m = n, celexicas C: Si vecorum m n
  52. cum r=5; velm, n iplisr, s, reciproce proportionales: quo hat mr=ns: nulla
  53. Fucura exic in utramris partem ceteritas; led se muruo sistent aequales rires contra-
  54. rix.) Quoderat propoticum.
  55. L. IIIII 3
  56. Edeogue
  57. =nsF C, (prorsum vel recrorlum, prout signum L rel- praeraluerit; per prop.

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 1005. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:1025?run=74