### Given a line and a point not on the line, to construct a
line through the given point parallel to the given line.

Given a line and a point, A, not on the line,

drop a perpendicular from A to the
given line.

From A, erect a perpendicular to
the perpendicular line.

Since AH __ | __ AE and AE __ | __ the given line, AH || the
given line by one of the
theorems on
parallel and perpendicular lines.