Consider:
During your morning jog, you run down an alley between two buildings which
are parallel to one another and are 20 feet apart. Describe your
path through the alley so that you are always the same distance from both
buildings.
Answer:
To maintain an equal distance from each building, you
must jog in a straight line parallel to the buildings and halfway
between them. In this problem, since the buildings are 20 feet
apart, you will jog on a line 10 feet from each building.
Stated formally, we have our next locus
theorem.
| Locus
Theorem 4: (parallel lines) |
|
The locus of
points equidistant from two parallel lines, l1
and l2
, is a line parallel to both l1
and l2
and midway between them.
|
|
