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. 1873 Excerpt: ... = t 33 cos r, dS, (12) where e is the angle between 21 and d$, and tj that between 93 and the normal to dS, whose direction-cosines are I, m, n, and T 21, T 33 denote the numerical values of 21 and 93. Comparing this result with equation (3), it is evident that the quantity / in that equation is equal to 93 cos rj, or ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1873 Excerpt: ... = t 33 cos r, dS, (12) where e is the angle between 21 and d$, and tj that between 93 and the normal to dS, whose direction-cosines are I, m, n, and T 21, T 33 denote the numerical values of 21 and 93. Comparing this result with equation (3), it is evident that the quantity / in that equation is equal to 93 cos rj, or the resolved part of 93 normal to dS. 592. We have already seen (Arts. 490, 541) that, according to Faraday's theory, the phenomena of electromagnetic force and In the present investigation we propose to deduce the properties of this vector from the dynamical principles stated in the last chapter, with as few appeals to experiment as possible. In identifying this vector, which has appeared as the result of a mathematical investigation, with the magnetic induction, the properties of which we learned from experiments on magnets, we do not depart from this method, for we introduce no new fact into the theory, we only give a name to a mathematical quantity, and the propriety of so doing is to be judged by the agreement of the relations of the mathematical quantity with those of the physical quantity indicated by the name. The vector 33, since it occurs in a surface-integral, belongs evidently to the category of fluxes described in Art. 13. The vector 21, on the other hand, belongs to the category of forces, since it appears in a line-integral. 593. We must here recall to mind the conventions about positive and negative quantities and directions, some of which were stated in Art. 23. We adopt the right-handed system of axes, so that if a right-handed screw is placed in the direction of the axis of x, and a nut on this screw is turned in the positive direction of rotation, that is, from the direction of y to that of z, it will move along the screw ...
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New. Trade paperback (US). Glued binding. 510 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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