The Encyclopedia britannica; a dictionary of arts, sciences, and general literatureWith new maps, and original American articles by eminent writersWith American revisions and additions, bringing each volume up to date . ppear to have been made by Flayfair at the request of Roblson,and by Leslie, Oeom. Analysis, 1821, They had previously been very carefullyconsiiiercd from an experimental point of view by Lambeitr Mem. de IAcad. deBerlin. 1766. 3 Boget, Jour. Ro>/. Inst., 1831. MAGNETISM 231 from N draw n series of lines to the points of division on B, andfrom S a eimiJar eories to tho point
The Encyclopedia britannica; a dictionary of arts, sciences, and general literatureWith new maps, and original American articles by eminent writersWith American revisions and additions, bringing each volume up to date . ppear to have been made by Flayfair at the request of Roblson,and by Leslie, Oeom. Analysis, 1821, They had previously been very carefullyconsiiiercd from an experimental point of view by Lambeitr Mem. de IAcad. deBerlin. 1766. 3 Boget, Jour. Ro>/. Inst., 1831. MAGNETISM 231 from N draw n series of lines to the points of division on B, andfrom S a eimiJar eories to tho points of division on A. These linesw .11 fonn a network of lozenges tho loci of the vertices of whichwill be ines of force, corresponding to (25) or (27) according as wo mind of the reader acqiminted with the analj-sis employed in hydrokinetical problems the close analogy that subsintM between the twomethods. In foot, by proper aiTangement, every problem in theone subject can be converted into a problem in the other. Fordetiils we refer the reader to Thomson, who was, so far as we know,the first to work out this mattr-r fully ; in the present connexloQhe should consult more particularly §§ 573 so. ol the Itepri^ pass from point to point along one set of lozenge diagonals or alongthe other. Fig. 22 will give the reader an idea of the generalappearance of the two sets of lines. He may compare the ideal with*he actual cases by referring to figs. 4 and 6, p. In the case of an infinitely small magnet, the equipotential lines are itely of course given by the polar equation ?-^ = c^ cos 6, c being a variablesmall parameter. It is easily shown that the lines of force, which aremagnet, necessarily orthogonal to these, have for their equation r = c sin0.*Tf <^ be the angle between ?• and the tangent of the line of force, wehave tan<p = rd9/dr=^; hence the following construction forthe direction of the line of force at P due to a small magnet at 0 :—let K be the
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