Constructing a parallel through a point   - Rhombus method

This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed.

See also the animated version.

After doing this Your work should look like this
Start with a line segment PQ and a point R off the line.
1.  Place the compasses on point R and set its width to a little more than the distance to the line PQ.
The exact distance is not important.
2.  Draw a wide arc from the right of R around so it crosses the line PQ at two points.
Label the left point J
3.  Without adjusting the compasses' width, move the compasses to J and draw an arc across the line PQ. Label this point E.
4.  Without adjusting the compasses' width, move the compasses to E and draw an arc across the large arc to the right of R. Label this point S.
5.  Draw a straight line through points R and S.
Done. The line RS is parallel to the line PQ
While you are here..

... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone. However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site? When we reach the goal I will remove all advertising from the site.

It only takes a minute and any amount would be greatly appreciated. Thank you for considering it!   – John Page

Become a patron of the site at

Other constructions pages on this site




Right triangles

Triangle Centers

Circles, Arcs and Ellipses


Non-Euclidean constructions