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4.2 Angles

The angle between two lines ax+by+c=0 and ax+by+c=0 is

In particular, the two lines are parallel when ab=ab, and perpendicular when aa=-bb.

The angle between two lines of slopes m and m is

arctan((m-m)/(1+mm)).

In particular, the two lines are parallel when m=m

and perpendicular when mm=-1.


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Silvio 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.