When tracing point A is moved along curve f(ϕ), link 1 with gear segment a turns about axis F of link 2. Segment a meshes with and moves rack 3 which carries slotted member b. Slider 4 moves along the slot of member b and is pivoted to bent lever 5 which turns about axis B of link 2. Link 5 has pin c pivoted to slider 6 which moves along the slot of slotted lever 7, turning it about axis E of link 2. At the same time, links 1 and 2 and rack 3 turn about pole O. The number of revolutions of the recording wheel, carried on lever 7, is proportional to the integral u=c∫(sqrt(r-r₀))dϕ where c is the proportionality factor, and ϕ is the angle of rotation of rack 3.
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