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perpendicular bisector
created by
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) by
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Sun Dec 02 2001 at 11:28:57
(
Mathematics
-
Euclidean Geometry
)
The
perpendicular
bisector
p of a
line segment
from A to B (A != B) is a line that is perpendicular to line AB and containing the
midpoint
of A and B. x is on p
if and only if
x is
equidistant
from A and B. The
perpendicular bisector
s of a triangle are also called side bisectors.
Also known as:
side bisector
(not noded)
.
The method for constructing a perpendicular bisector is detailed in
Euclid's Elements
,
book I
,
proposition 10
.
(
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) by
DrT
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Sat Jun 01 2002 at 18:58:26
To construct the
perpendicular bisector
of a
line
AB with a
compass
and
straight edge
, follow these steps.
Put the compass point on A.
Open the compass to about 2/3 of the length AB.
Make one big arc from top to bottom which cuts through AB.
Put the compass point on B.
Make another big arc from top to bottom which cuts through AB.
You should now have two arcs that cut across AB, but also cross each other at two
point
s, C and D.
Draw the line CD. It should be perpendicular to AB and
bisect
it.
The contents of this writeup are in the
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.
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