Construction #6a

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.