## Cambridge Mathematical Journal, Volume 2Duncan Farquharson Gregory, Robert Leslie Ellis, William Thomson Baron Kelvin, Norman Macleod Ferrers E. Johnson, 1847 |

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### Palavras e frases frequentes

angles arêtes de rebroussement axis body C₁ central principal planes centre of gravity circumscribed coefficients coincide condition cone confocal conjugate conjugate systems corresponding cos² curve cyclic planes cylinder degree determined developable surfaces duads dx dx dx dy dz ellipsoid of gyration equal equation equimomental focal conic formula function given Hence homogeneous function hyperboloid imaginary infinite number integral letters line of curvature log² magnetic moments of inertia parallel parallelepiped pass perpendicular principal axes quantities reciprocal reduced respect result right lines second order sheet sides sin² sphere suppose surface of wave system of axes system of principal systems of developable systems of lines tangent plane theorem V₁ values variables vertex whole system π²

### Passagens conhecidas

Página 235 - ... either or any direction. So that two portions of matter, simultaneously subject to this power, may be made to approach each other as if they were mutually attracted, or recede as if mutually repelled. All the phenomena resolve themselves into this, that a portion of such matter, when under magnetic action, tends to move from stronger to weaker places or points of force.

Página 1 - Notes on Linear Transformations. Same Vol., pages 167. ..171. On the Theory of Developments. Same Vol., pages 214. ..223. In the Cambridge and Dublin Mathematical Journal. On the Equation of Laplace's Functions. Vol. 1, 1846, pages 10... 22. On the Attraction of a Solid of Revolution on an External Point.

Página 237 - This appeared much more simply in the case of a single magnetic pole, for then the tendency of the indicating cube or sphere was to move outwards, in the direction of the magnetic lines of force. The appearance was remarkably like a case of weak electric repulsion. 2269. The cause of the pointing of the bar, or any oblong arrangement of the heavy glass, is now evident. It is merely a result of the tendency of the particles to move outwards, or into the positions of weakest magnetic action. The joint...

Página 61 - tricity,' has set forth a theory of electrostatical induction which " suggests the idea that there may be a problem in the theory of "elastic solids corresponding to every problem connected with " the distribution of electricity on conductors or with the forces " of attraction and repulsion exercised by electrified bodies. The " clue to a similar representation of magnetic and galvanic forces " is afforded by Mr Faraday's recent discovery of the affection " with reference to polarised light, of...

Página 64 - limits were I to enter into a special examination of the states " of a solid body representing various problems in electricity, " magnetism, and galvanism, which must, therefore, be reserved

Página 235 - Thus in o some cases it may actually be urged across the direction of the magnetizing force. For instance, if a ball of soft iron be placed symmetrically with respect to the two poles of a horse-shoe magnet, and at some distance from the line joining them, it will be urged towards this line in a direction perpendicular to it, although the magnetizing force is parallel to it ; or if the magnetizing force be due to a straight galvanic wire, a ball of soft iron will be attracted towards the wire, although...

Página 255 - PB are the lines forming an angle to be projected on a plane which meets thenv in A and B, and when the perpendicular from P to the base AB does not fall in AB produced, the projection of the angle is greater than the angle itself. The general assumption referred to above is therefore always true in this case; and it will be seen that this is not the only case in which it is accurate. CASE 2. Let the perpendicular CE from С to AB meet AB produced, in E. Through A and В describe a circle to touch...

Página 237 - Faraday, that a thin bar or needle of a diamagnetic substance, when suspended between the poles of a magnet, assumes a position across the line joining them. For such a needle has no tendency to arrange itself across the lines of magnetic force; but, as will be shown in a future paper, if it be very small compared with the dimensions and distance of the magnet (as is the case, for instance, with a bar of any ordinary dimensions, subject only to the earth's influence), the direction it will assume,...

Página 237 - a thin bar or needle of a diamagnetic substance," he says, "such a needle has no tendency to arrange itself across the lines of magnetic force ; but, as will be shown in a future paper, if it be very small compared with the dimensions and distance of the magnet, the direction it will assume, when allowed to turn freely round its centre of gravity, will be that of the lines of force*.

Página 257 - Every solid angle is contained by plane angles, which are together less tlianfour right angles.