Consider:
Indiana Jones (Indy) is searching for a treasure. His treasure map shows a
V-shaped canyon formed by two vertical cliffs. The directions state:
"Start at the point where the cliffs converge. Walk
through the canyon staying an equal distance from each
cliff......"
Can you
picture the path Indy needs to take to satisfy these directions?
Description:
The red line represents the locus which is equidistant
from the two cliffs. This line is the bisector of the angle formed
by the two cliffs. Any point on this line, when measured as shown
by the green lines, is the same distance from each cliff.
Formally stated, we have another locus theorem:
| Locus
Theorem 5: (intersecting lines) |
|
The locus of
points equidistant from two intersecting lines, l1
and l2,
is a pair of bisectors that bisect the angles formed by l1
and l2
.
|
