Four-bar linkage (looking for solutions)

[color=#999999][color=#999999][color=#999999]This activity belongs to the [i]GeoGebra book[/i] [url=https://www.geogebra.org/m/h3gbmymu]Linkages[/url].[/color][/color][/color][br][br]In the following construction, we can see, on the left, the usual construction of our rhombus. On the right, we try to solve the problem observed in the [url=https://www.geogebra.org/m/h3gbmymu#material/fxv3jbg4]previous construction[/url].[br][br]To do this, we make a construction where N is the midpoint of the segment OU (of unit length) and [b]c[/b] is the circle of center N and radius 1. We take a point M at [b]c[/b]. Let [b]d[/b] be the circle with center at M and radius 1/2. Its intersection with the line parallel to OU through M, gives rise to F and E. Thus, M moves while E and F behave symmetrically (as we were looking for), but neither E nor F are mobile... we must move M.[br][br]So the visualization is even [b]poorer [/b]than the mathematical model of the object. In the following activities we will see how we can enrich this behavior with the use of [i]scripts[/i].

Information: Four-bar linkage (looking for solutions)