# Eulerian Sentence Examples

Two methods are employed in hydrodynamics, called the

**Eulerian**and Lagrangian, although both are due originally to Leonhard Euler.In the

**Eulerian**method the attention is fixed on a particular point of space, and the change is observed there of pressure, density and velocity, which takes place during the motion; but in the Lagrangian method we follow up a particle of fluid and observe how it changes.The Lagrangian method being employed rarely, we shall confine ourselves to the

**Eulerian**treatment.The remainder of the first volume relates to the

**Eulerian**integrals and to quadratures.The latter portion of the second volume of the Traite des fonctions elliptiques (1826) is also devoted to the

**Eulerian**integrals, the table being reproduced.AdvertisementThe phenomenon is known as the

**Eulerian**nutalion, since it is supposed to come under the free rotations first discussed by Euler.This is, in fact, the invariable line of the free

**Eulerian**rotation with which (as already remarked) we are here virtually concerned.This revolution is called the

**Eulerian**motion, after the mathematician who discovered it.Were these currents invariable their only effect would be that the

**Eulerian**motion would not take place exactly round the mean pole of figure, but round a point slightly separated from it.Newcomb's explanation of the lengthening of the

**Eulerian**period is found in the Monthly Notices of the Royal Astronomical Society for March 1892.AdvertisementThis document file will contain three columns with the three

**Eulerian**angles psi, theta, and phi.In the

**Eulerian**notation u, v, w denote the components of the velocity q parallel to the coordinate axes at any point (x, y, z) at the time t; u, v, w are functions of x, y, z, t, the independent variables; and d is used here to denote partial differentiation with respect to any one of these four independent variables, all capable of varying one at a time.The second volume (1817) relates to the

**Eulerian**integrals, and to various integrals and series, developments, mechanical problems, &c., connected with the integral calculus; this volume contains also a numerical table of the values of the gamma function.