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The angle between two lines a
x+b
y+c
=0 and
a
x+b
y+c
=0 is

In particular, the two lines are parallel when a
b
=a
b
,
and perpendicular when a
a
=-b
b
.
The angle between two lines of slopes m
and m
is
arctan((m
-m
)/(1+m
m
)).
In particular, the two lines are parallel when m
=m
and perpendicular when m
m
=-1.
The Geometry Center Home PageSilvio Levy
Wed Oct 4 16:41:25 PDT 1995
This document is excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (CRC Press). Unauthorized duplication is forbidden.