A graphical construction is presented which, when used for Burmester mechanism synthesis for four finitely separated positions, enables the designer to avoid solutions which will not pass all design positions without being disconnected. The construction is applied to the circle point curve and locates all regions of that curve which give acceptable solutions. The procedure is simple, requiring only construction of circles and straight lines. It is also compatible with Modler’s technique for ensuring that the linkage passes the design positions in the desired order.

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