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Unformatted text preview: r,θ ) of the projection P xy with the vertical rectangular coordinate z of P to obtain the cylindrical coordinates ( r,θ,z ) of P . Even though in principle r could be taken as negative, in this system it is customary to con±ne ourselves to r ≥ 0. The relation between the cylindrical coordinates ( r,θ,z ) and the rectangular coordinates ( x,y,z ) of a point P is essentially given by Equation ( 1.3 ): x = r cos θ y = r sin θ z = z. (1.6) We have included the last relation to stress the fact that this coordinate is the same in both systems. The inverse relations are given by ( 1.4 ), ( 1.5 ) and the trivial relation z = z . The name “cylindrical coordinates” comes from the geometric fact that the...
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
 Fall '08
 ALL
 Calculus, Vectors

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