When tracing point A is moved along curve a, carriage 1 travels along guide 2 parallel to axis y and slide 3 travels along guides of carriage 1 parallel to axis x. Pinion 4 is connected by turning pair B to slide 3 and meshes with gear rack b of carriage 1. Two-armed lever 5 carries recording wheels 6 and 7 and is rigidly attached to pinion 4. The motion of point A is resolved into two motions: along the x and y axes. The angles of rotation of wheels 6 and 7 are proportional to coefficients a_k and b_k of a harmonic series. Each pair of coefficients corresponds to a definite pitch radius of pinion 4: a_k=-1/kπ(∫(sin(ϕ))dy);[0,s], b_k=1/kπ(∫(cos(ϕ))dy);[0,s].
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