A particle is emitted from a solid surface into the ``space'' or hemisphere above the surface. Locations on the hemisphere are characterized by solid angle. We introduce the concept by analogy to linear dimensions. Recall the definition of geometrical quantities as follows:
Table 4: Analogy of Angles to Lengths.
Referring to the Table 4 and
Figure 7,
a line is generated by sweeping a point linearly through space, and an area is
generated by sweeping a line through space.
Similarly as shown in
Figure 7,
an angle is generated by
sweeping a line through an arc.
A solid angle is generated by sweeping two ``orthogonal'' angles
(
and
) through arcs.
Figure 7: Generating an Angle and a Solid Angle.