Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 403
Iff f(r, 0, z)rdrd0dz, (4) the limits remaining to be substituted.3. Polar coordinates. In fig. 229 thecylindrical coordinates of P are OM= r,MP = z, and ZLOM= 0. If instead ofplacing OM = r we place OP = r, anddenote the angle NOP by (/>, we shallhave r, </>, and 0 as the polar… … TRIPLE INTEGRALS 387 and 0M= OB sin <f>, the following equations evidently expressthe connection between the rectangular and the polar coordi-nates of P: z = r cos (f>, x = r sin <f> cos 6, y = r sin (f> sin 6. The polar coordinates of a point determine three surfaceswhich…
Geometry, Analytic · Calculus
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