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. 590

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: 0.79.

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

The machine reads it as

  1. De Motu, Generalia.
  2. Cap. I.
  3. (per Z hujus.) Duod erat ProPO.
  4. cila
  5. era: Si Momenta ia Lesclatia. Viles e lempora, sune, velutra-
  6. que aequalia, rellaltem Reciproce proportionalia. toueit 35
  7. 1n0. V.
  8. DOca; Vis aequalis, aequali Tempore, cancundem efficic. Trem, Vis dupla X
  9. quali rempore, et, Vis aequalis duplo Tempore, tancundem ecticiunt. Sic, Vis
  10. dupla criplo Tempore, et, Vis cripla duplo Tempore, ec. Sunt enim Momenta in
  11. racione ex Virium ec Temporum rationibus compolita; (per praeced.) Adcoone
  12. (cum hae SinE RCCiprOCX) A qualia Tunt. (per Shujus.) Unde _E Conrersa patet.
  13. 1SC HEOL ZV M. T
  14. LH his quatuor Proposirionibus proxime praecedentibtis aestimancur, qua et
  15. L Viribus et Temporihus simul consideratis emersun, Momentorum Maenitu
  16. Mines.
  17. Nam, AVIS UEV, TeMPOrE F, MOVCAL NE M: Vis UE2V, eodem Tempore, mo-
  18. vebic AE2MI; _ ZV, uEZNI, 890. per 18 hujus. Cum itaque ViS uE ZV, Fem-
  19. Pore P, moreat uc2M; Vis eadem, Tempore 2F, movebir uc 4M; e tempore
  20. BF, ut 6M, 3C. Per FOhujuS. Trem, Cum ViS UE 3V, TemPOTC F, moveau
  21. UE ZMI; Vis eadem, Lempore ZP, morebic ut oMI; Tempore 4P, ut T2 MI, e.
  22. FC unireraliter; St Vis V, TEBPORC P, MOVCAFUEM; Vis n V, eodem Tempore
  23. L, morebic UEnMI, (per LB hujus: ) Adeoque, Tempore mP, UEmNM, ( pet
  24. FD hujus.) Hoc est, in ratione ex Virium ec Temporum rationibus composita,
  25. Si Vires et Tempora, sint vel utraque Aqualia, vel sinE ReciprOCC prO-
  26. portionalia; qua lne Lerccun sunt Aqualia. FF COn
  27. 1.
  28. 2VF. M: ZVT. M. NVF. M:: OYF. MI. mnVF. M: : mnVF. H.
  29. AOP. XXII. 9.15
  30. c
  31. In quibulris Mocibus mce comalacto ea une uet
  32. tis proPortionaa
  33. VF = BI. EL. = T:: 2VY = 2M. 2PC =2L:: nVL
  34. M. nie L. ML.11.
  35. 1C
  36. M = YL. 1 =07 :
  37. ine
  38. F18, 20,
  39. F.
  40. F13. 22
  41. 23, 247
  42. Impedimentum; Triplum, Priplum; e H cellesc FLCILIBIIS: LCt
  43. B. s Vis V, Temipore F. sives quod ex his retulcaes Momentum M; movec
  44. Pondus P, Per Longimdinem L; sire collic, quod ex his retulcar, Impedimen-
  45. cumT: Duplum Nomeneum, toller Duplum Impedimentum; Priplum, Priplum,
  46. . . 35. Nam, S Momentum M, collic Impedimencum L; etiam alierum M, alcerum
  47. Trollet; tertium, rerrium, ec. Adeoque Duplum Momencum, collet, Duplum
  48. Sire, luc i sai et dele st t tb. 2d Ot tallum ex Pondere de
  49. LOnsi
  50. Thujus. Ouod erati propoticum.

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. 590. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0610?run=74