Years ago I wrote up how to make 3 points into a circle, probably for a CAD program or similar.
https://stackoverflow.com/a/26903599/999943
https://github.com/peteristhegreat/ThreePointsCircle
Then I was working on a 4 bar mechanism, and I wanted a refresher on the kinematics on it.
https://www.youtube.com/watch?v=ivTPfBbzDLY&t=36s
In the end you are just drawing 3 equal lines in 3 different positions.
Then you connect the first point of each position and make a circle! Repeat for the second point of each position.
You can solve for the circle centers by hand with a protractor and a compass and a ruler. Once you know the circle centers you are 90% done.
Some linkage lengths result in impossible swings of the linkage. (e.g. violates the rule of triangles about side lengths)
Emulating it in blender isn't too bad.
https://www.youtube.com/watch?v=Emf9_WpJAG4
And now you can try out 4 bar linkages relatively fast and see when the linkages break.