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# Reverse circular curves to connect two non parallel lines

Posted on 2013-01-04

If I have two parallel lines like this

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I can connect the two with two circular curves using a compass, straight-edge and a pencil and without any measurement or calculation with the steps

draw perpendiculars from the end points towards the other line

connect the two end points of the given line

draw perpendiculars to the connecting line at the quarter points

the intersection of the perpendicular to end point and perpendicular to the quarter point will be the centre of the curve.

Can we have a similar construction if the lines are not parallel?