Perpendicular through a Point on a Line

How to construct a line perpendicular to a given line,
passing through a given point on this line?

1. Start with two points defining the given line.

2. Determine the given point.

3. Draw a circle with point 2 as its center, and a suitable radius.

4. Draw an arc with the center at one of the intersections of line 1 and circle 3, and a suitable radius, preferably somewhat greater than the diameter of circle 3.

5. Repeat this for the other intersection of line 1 and circle 3. The radius must be equal to that of arc 4, and both arcs must intersect twice.

6. Draw the line connecting both intersections of arcs 4 and 5.

7. This is the line to be constructed, perpendicular to line 1 and passing through given point 2.


Copyright © 2001, Zef Damen, The Netherlands