The Quarterly Journal of Pure and Applied Mathematics, Volume 11J.W. Parker, 1871 - Mathematics |
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Page 47
... elements of two electric currents upon one another , so as to make the paper as complete as I can without describing fully the ex- periments by which the law of the mutual action can be established , which experiments may be found in ...
... elements of two electric currents upon one another , so as to make the paper as complete as I can without describing fully the ex- periments by which the law of the mutual action can be established , which experiments may be found in ...
Page 48
of electricity which pass through the elements in an unit of time . The action is also supposed to act in the line joining the elements , and to be some function of the distance of the elements and of their position relative to each ...
of electricity which pass through the elements in an unit of time . The action is also supposed to act in the line joining the elements , and to be some function of the distance of the elements and of their position relative to each ...
Page 49
... elements of two closed currents , the whole action of these currents is [ fiï'deds ' { -r de'd ( r ) + dr dr f ( x ) } ds ds ds ds ' = fiï da [ − r $ ( r ) dr , + fds ' dr day ( rp ( ~ ) } ] + VOL . XI . dr dr ds ds ' ds ffüdsds ' ad f ...
... elements of two closed currents , the whole action of these currents is [ fiï'deds ' { -r de'd ( r ) + dr dr f ( x ) } ds ds ds ds ' = fiï da [ − r $ ( r ) dr , + fds ' dr day ( rp ( ~ ) } ] + VOL . XI . dr dr ds ds ' ds ffüdsds ' ad f ...
Page 50
... elements becomes iids ' ds ' Y 1 d'r + dr dr k ) r ds'ds ds ds ' • 72 ) = - ii'ds ds ' -1 = -ii'ds ds ' rt - 1 ( 1 d ... element of another current in the direction of that element , see De La Rive's third case of equilibrium . For the ...
... elements becomes iids ' ds ' Y 1 d'r + dr dr k ) r ds'ds ds ds ' • 72 ) = - ii'ds ds ' -1 = -ii'ds ds ' rt - 1 ( 1 d ... element of another current in the direction of that element , see De La Rive's third case of equilibrium . For the ...
Page 51
... element , this having led to the determination of k . Take the element at the origin of coordinates and coin- cident with the axis of x , and let Oz be taken for the direc- tion of the resultant action . The action parallel to the axis ...
... element , this having led to the determination of k . Take the element at the origin of coordinates and coin- cident with the axis of x , and let Oz be taken for the direc- tion of the resultant action . The action parallel to the axis ...
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Common terms and phrases
a+b+c action af-g angle angular velocities axes body Cayley centre circle coefficient columns common tangent concyclic cone confocal conic conicoids conjugate coordinates corresponding cubic curvature cusps denote differential dt dt elements ellipsoid envelope equal equation Euler's equations evectant evolute expression fixed point formulæ given curve greatest value Hence inflexion instantaneous axis integral intersection line IJ log mv magic square nodal normal obtain pairs parallel curve perpendicular points of contact pole quadric quartic surface radius reciprocal respectively shewn solenoid solution stationary tangent suppose tangent planes theorem torse triads unlike signs vertex w₁ whence WILLIAM WALTON zero square
Popular passages
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