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Home > Mathematics and Science books > Mathematics > The Collected Mathematical Papers of Arthur Cayley Volume . 1
The Collected Mathematical Papers of Arthur Cayley Volume . 1

The Collected Mathematical Papers of Arthur Cayley Volume . 1


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1889 Excerpt: ...cela en passant) sont liees de la maniere la plus etroite avec celles de la belle theorie de Sir W. Hamilton sur les Quaternions. Je les ai appliquees a la theorie de la rotation d'un corps solide. Avant de donner une idee des resultats auxquels je suis parvenu, je passe aux formules de transformation qui se rapportent au cas de n = 4. Je prends ici pour le systeme des quantites X: II. Maintenant je vais citer les formules que j'ai presentees dans le Journal de Cambridge, t. m. (1843) p. 225, 6, pour la rotation d'un corps solide autour d'un point fixe. Mettant, comme a l'ordinaire, les vitesses angulaires autour des axes principaux p, q, r, les moments du corps pour ces memes axes = A, B, C, et la fonction des forces = V: les equations citees pourront etre ecrites sous la forme En effet, pour obtenir ces formules, il n'y a qu'a chercher au moyen de X, fi, v, et de leurs derivees par rapport aux temps X', y!, v, l'expression de la fonction T= (Ap ] Bq2 + Cr2) qui exprime la demi-somme des forces vives: cela fait, les formules generales que Lagrange a donnees pour la solution des problemes de dynamique, conduisent immediatement aux equations en question. Dans le memoire cite j'ai integre ces equations pour le cas ou la fonction V est zero, et en prenant, comme dans la theorie ordinaire, le plan invariable pour plan des deux axes. Ce n'est que dernierement que j'ai trouve la maniere convenable de traiter ce systeme d'equations; je le fais au moyen de deux nouvelles variables il, v, entre lesquelles je trouve une equation differentielle dont les var...


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Product Details
  • ISBN-13: 9781153366762
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 110
  • Spine Width: 6 mm
  • Width: 189 mm
  • ISBN-10: 1153366762
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 213 gr


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