This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1904 edition. Excerpt: ... f-? (a2 + b2) a2 + a2b2c2 = 0 (17). Tlds is an equation of the fourth degree. 88. Ray Velocity. The radius vector of the wave-surface, being the distance through which a disturbance may be considered to have travelled in unit time, measures the velocity along the ray. Calling s the ray velocity, while ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1904 edition. Excerpt: ... f-? (a2 + b2) a2 + a2b2c2 = 0 (17). Tlds is an equation of the fourth degree. 88. Ray Velocity. The radius vector of the wave-surface, being the distance through which a disturbance may be considered to have travelled in unit time, measures the velocity along the ray. Calling s the ray velocity, while v is the velocity of plane wave propagation, Fig. 110 shows that if be the inclination of the ray to the wave normal, v = s cos f, or if A, /, v be the direction cosines of the ray, v = s (lk + mfi + nv) (18). Equation (16) may serve to connect the direction A, /a, V with the velocity s, by writing s for r and using x: y: z = A: p: v, Comparing this equation with (4) it is seen that one may be derived from the other by writing l/s for v, and 1/a, 1/6, 1/c, for a, b, c respectively. This suggests the following construction for obtaining ray velocities similar to that which holds for the wave velocities. Take the ellipsoid a? 1? z2, a2 b2 c2 L The lengths of the semiaxes of a plane central section of this ellipsoid then measure the two possible velocities of rays which are at right angles to the section. The proof of this proposition follows from the fact that we may obtain equation (19) to determine the lengths of the semiaxes by a reasoning identical with that by means of which (4) has been obtained in Art. 84. The ellipsoid has been called the reciprocal ellipsoid. Its semiaxes are equal to the principal velocities. 89. Relations between rays and wave normals. The projections of the ray on the three coordinate axes are sA, sp, sv, and we may substitute these values for x, y, z, in equations (14). We then obtain sA. vl and hence from (21)--TM2 w2 I 2-2)2 (v2-62)2 (2-c2)2J.......... Equation (23) may be used to calculate...
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In poor condition, suitable as a reading copy. Re-bound by library. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 1050grams, ISBN:
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 950grams, ISBN:
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 850grams, ISBN:
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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Fine. Trade paperback (US). Glued binding. 376 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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New. Trade paperback (US). Glued binding. 376 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.