Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 403
s. These three surfaces intersect atthe point P. The element of volume in cylindrical coordinates (fig. 228)is the volume bounded by two cylin-ders of radii r and r + Ar, two planescorresponding to z and z + Az, andtwo planes corresponding to 0 and0 + A0. It is accordingly a cylinderwith its… … 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…
Geometry, Analytic · Calculus
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