CALCULUS Understanding Its Concepts and Methods

Spherical coordinates

The distance from the origin to a point in space is denoted by (the Greek letter rho). The points at a constant distance from the origin form a sphere of radius . A point in space is located by

**1.**its
distance
from the origin,

**2.**the
angle
f
(the Greek letter phi) a line from the origin to the point makes with the
positive
*z*-axis,
and

**3.**the
angle
q
(the Greek letter theta) that the projection of this line into the
*xy*-plane
makes with the positive
*x*-axis.

These spherical coordinates are written
*P* = (r,q,f).

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Triple integrals in spherical coordinates

Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.