## spherical coordinatesP
in space is located by its position relative to three mutually perpendicular
axes (the x-, y-, and z-axes) in terms of (1)
its distance r from the origin, O, (2) the angle (θ)
between the x-axis and the projection
of OP onto the x-y plane, and (3)
the angle (φ) between OP and the z-axis. The coordinates
of P are thus expressed in the form (r, θ, φ).
See also analytic geometry.
In the accompanying diagram, a spherical coordinates system is shown defining point P in terms of distance r and angles θ and
φ. (2) The spherical triangle ABC has "sides" a, b,
c which are the angles BOC, AOC, and AOB respectively and "angles"
A, B, C where A is the angle between the tangents to the arcs AC and AB
at A; B that between the tangents to the arcs AB and BC at B; and C that
between the tangents to the arcs AC and BC at C respectively. ## Related categories• GEOMETRY• CELESTIAL MECHANICS | |||||||

Home • About • Copyright © The Worlds of David Darling • Encyclopedia of Alternative Energy • Contact |