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. 1028

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: 0.80.

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

The machine reads it as

  1. Flater, o Resilition
  2. antem utrique conterri (motu communi) celeritas L sC Prorsum; que tat le-
  3. leritas A, YC F SC (PrONTUM;) B verO, = sC f SC = OC: (UE teraTUE A Ce
  4. leritate rC f SC, tanquam in B quiescens.) Ouod si PONAtIE; CriF, POIL CON
  5. ractum, celeritas A, OC; B vero rC F sC (DrorIum;) Der prOD. 5. hujus. Sed
  6. ec idem erie (impulsum quod Spectat) in calu propolito. Si itaque ueringue
  7. dematur (quae adjecta Fverat) celeritas sC: habebitur iplius A celeritas
  8. OC. -- sC = = sC (FCTTOFLIIM;) e B, celerITAS r C F SC -- SC = r C. (ptOF-
  9. Tum:) Hloc est, ad contrarias partes, celeritatibus DermuUTaLS.
  10. Cup. 2.IIL.
  11. 1028
  12. PROP. VTIL.
  13. Si Crare motum, quacunque Celeritate, in Crave quiescens (aequale)
  14. rel inaequale) directe impinsat; (sintque Clastica, alterum rel u
  15. trumgue:)
  16. Celexitas, post contactum, Craris impingentis, ad cam qua PrIUS FuC-
  17. eat, elt, uc differentia ponderum, ad corundem summam; (8 qui-
  18. dem prorsum vel retrortum, prouc Pondus impinsentis majus est
  19. auc minus Pondere quiescentis; sin ca sint aequalia, quicscet:)
  20. Celericas autem Ouiescentis, Ret (Post contactum) ad eam quae fue-
  21. rat impinsentis, uc duplum ponderis impinsentis ad candem pon-
  22. derum summam. Adeoque s pondera tuernt aequalia, ea celexi-
  23. tate quae Tuerat prins moti.
  24. Fis. 300. J, Sio Graris A moti, Pondus m P, Celericas r C, ad eoque Momentum mr P C:
  25. , Ec quiescentis B (cui directe impinsit A) PonduS n P. Fric Elateris, vis
  26. 2. M n
  27. resticucira (idtui aequalis d im + P C., PeC prOP. 12. Cap. LI. Dua aequali-
  28. mn
  29. cex urinque se explicans, Celeritare dimidia
  30. rPC. tum Repellic A, cum
  31. e
  32. M
  33. (retrortum;) huie (propcer pondus n P) Celericarem +,
  34. m +n
  35. rC
  36. M. -rC (prortum.)
  37. p+
  38. Sed et aliunde terenda erant vtraque (S Elater nullus eset) communi Celeritate
  39. m F n rC (PrOrtum;) per prOP. 2. Cap. FF. Ouxe si urrinque addatur, ha-
  40. m 2
  41. 4
  42. in X
  43. cortum PrOuE m vel n majus tuexit; nEuITa vero S fuerint aequalia, PTOPIeF
  44. n - n = O:) e Celeritas B, F
  45. a
  46. rC.
  47. M + n
  48. m
  49. m +
  50. rC:
  51. m F n Y C: EC
  52. quidem, s m = n Celeritate rC. Oux demonstrancta erant.
  53. Aiter.
  54. Sic Cravis A, pondus mP; e Gravis B, ponduS n P: aique incellieatur A,
  55. Celericare rC, directe impineere in B quiescens. Incelliguur irem dividi Ccteri.
  56. tas rC, in partes ponderibus reciproce proporcionales; Nemper in Ln
  57. rC
  58. quae respondeas pondteri m P; et M-, C, quae respondteat poncerin P. A
  59. M+
  60. que

Cite

[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. 1028. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:1048?run=74